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Activity for Istiak‭

Type On... Excerpt Status Date
Comment Post #284561 At first, I had seen that for some Dirac's equation (That was also about Relativistic mechanics hence we can say that was Einstein notation). And I have seen those notation in Tensor. Hence I am talking about Einstein notation. As far as I remember, I had seen same kind of equation in QM (but I didn'...
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15 days ago
Edit Post #284561 Initial revision 16 days ago
Question What does variable in sup represent for matrix?
I had seen people were representing matrix 2 way. 1. $$\sum{j=1}^n a{ij}$$ It is representing a column matrix (vector actually) if we assume $i=1$. $$\begin{bmatrix}a{11} & a{12} & a{13} & ......\end{bmatrix}$$ 2. $$\sum{j=1}^n a^{ij}$$ What it is representing? At first I thought it wa...
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16 days ago
Comment Post #284551 Maybe I am not familiar with the name "abstract vector" not sure if I have studied something just like this. But I just read description rather than name.. Hence I don't have any idea what are you referring to. If abstract vector is topic of abstract algebra than I haven't studied it...
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16 days ago
Edit Post #284550 Initial revision 17 days ago
Question transpose matrix and general matrix is completely messed up
I was studying Matrix. I never attend any lecture. So I don't have much more idea of Matrix. I had learned multiplication, addition, subtraction and inverse matrix last year from some YT tutorial. I never learned the conversion of algebraic equation to Matrix or vice-versa. I had found it in my b...
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17 days ago
Edit Post #284279 Post edited:
about 1 month ago
Edit Post #284280 Initial revision about 1 month ago
Question Is Pythagorean theorem really valid in higher dimensional space?
I saw that someone was writing Pythagorean theorem in 3 dimensional space. The equation was : $$c=\sqrt{x^2+y^2+z^2}$$ If it's really correct than Pythagorean should work in higher dimensional space either. So I can write that $$c=\sqrt{\sum{n=0}^nn^2}$$ At first I was thinking how right tr...
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about 1 month ago
Edit Post #284279 Post edited:
about 1 month ago
Edit Post #284279 Initial revision about 1 month ago
Question $\int dx dy dz d p_x dp_y dp_z$ Does it have any physical meaning?
I was reading a Physics book. Then I saw an equation which was looking like this : $$\int dx dy dz d px dpy dpz$$ I was thinking it from just a Calculus book. I can see lots of variable (momentum) changing (adding all the "pieces") respect to their position. When I saw the equation a question c...
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about 1 month ago
Edit Post #284113 Post edited:
about 2 months ago
Edit Post #284113 Initial revision about 2 months ago
Question What to do when there's lot of function of time? (For integration) Should I consider them as constant?
Let I have a function which is looking like this $$f=\int\frac{l \ \mathrm {dt}}{\dot{\theta}r\dot{r}}$$ Here $\dot{\theta}$, $r$, $\dot{r}$ and $l$ all of them are function of $t$. For differentiating respect to time I simply increase "dot". But what to do for integration? Should I consider t...
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about 2 months ago
Comment Post #284052 Are you talking about me? I am not the who downvoted but, I was using an "Indian" book that moment cause, it was preferable for me. But, I was asking question where there is problem. I was reciting those things which was important. But, I was ignoring most of lines cause, they weren't important for t...
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about 2 months ago
Comment Post #283930 Now, I directly answered to your title.
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about 2 months ago
Edit Post #283930 Post edited:
about 2 months ago
Comment Post #283952 Maybe, I didn't understand you properly. I started reading from above then I got where the error was.. Anyway, Thanks
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about 2 months ago
Edit Post #283952 Post edited:
about 2 months ago
Edit Post #283952 Initial revision about 2 months ago
Answer A: Consider the second of these integrals (What's the meaning of second right here?)
In the post, actually $\dot{y}=\frac{dy}{dx}$. So, $$\int{x1}^{x2}\frac{\partial f}{\partial \dot{y}}\frac{\partial \dot{y}}{\partial \alpha}\mathrm dx=\int{x1}^{x2}\frac{\partial f}{\partial \dot{y}}\frac{\partial^2 y}{\partial x \partial \alpha}\mathrm dx$$ In the equation, they just wrote $...
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about 2 months ago
Comment Post #283935 I was saying that $\frac{dJ}{d\alpha}=0$ So, $0=\int_{x_1}^{x_2}\frac{\partial f}{\partial y}\frac{\partial y}{\partial \alpha} \mathrm dx + \int_{x_1}^{x_2}\frac{\partial f}{\partial \dot{y}}\frac{\partial \dot{y}}{\partial \alpha}\mathrm dx$ Hence, $\int_{x_1}^{x_2}\frac{\partial f}{\partial y}\fra...
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about 2 months ago
Edit Post #283930 Post edited:
about 2 months ago
Edit Post #283929 Post edited:
about 2 months ago
Edit Post #283930 Initial revision about 2 months ago
Answer A: Is ‘How would you know to do the next step?’ always a bad question?
I have few opinions on it. I am in a homework helping site (where people says to solve their homework (show their works)). > bad English >It may not be your fault you don't know English well, but it's not my fault either. Olin Lathrop When I joined that homework helping site, I asked a que...
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about 2 months ago
Edit Post #283929 Initial revision about 2 months ago
Question Consider the second of these integrals (What's the meaning of second right here?)
$$\frac{dJ}{d\alpha}=\int{x1}^{x2}(\frac{\partial f}{\partial y}\frac{\partial y}{\partial \alpha}+\frac{\partial f}{\partial \dot{x}}\frac{\partial \dot{x}}{\partial \alpha})\mathrm dx$$ Consider the second of these integrals: $$\int{x1}^{x2}\frac{\partial f}{\partial \dot{y}}\frac{\partial \dot{y...
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about 2 months ago
Edit Post #283619 Post edited:
tagged
about 2 months ago
Suggested Edit Post #283619 Suggested edit:
tagged
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helpful about 2 months ago
Edit Post #283872 Initial revision about 2 months ago
Question Getting backward of partial differentiation's chain rule
We know that Chain rule of partial derivatives is something just like this ($z$ is function of $x$ and $y$ variable and, $x$ and $y$ is function of $t$) : $$\frac{dz}{dt}=\frac{\partial z}{\partial x} \frac{\partial x}{\partial t}+\frac{\partial z}{\partial y} \frac{\partial y}{\partial t}$$ Th...
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about 2 months ago
Edit Post #283696 Post edited:
more better alt text
2 months ago
Suggested Edit Post #283696 Suggested edit:
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helpful 2 months ago
Comment Post #283633 $\vec v \times \vec v$ here $\times$ is cross product..... But, I can't see $\vec v \times \vec v$ in OP. I think you meant for cross product I have to differentiate both, didn't you?
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2 months ago
Edit Post #283633 Post edited:
2 months ago
Edit Post #283633 Initial revision 2 months ago
Question Is $r \times \frac{d}{dt} mv=\frac{d}{dt} (r \times mv)$
Is $$r \times \frac{d}{dt} mv=\frac{d}{dt} (r \times mv)$$ I was thinking that it is wrong. Cause, which is outside of differentiation how we can put that inside differentiation no matter that's constant or not. 1.9
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2 months ago
Comment Post #283619 https://meta.codidact.com/posts/283421
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2 months ago
Comment Post #283593 To me it's looking like discontinuous function. Here's another [sample](https://external-content.duckduckgo.com/iu/?u=http%3A%2F%2Feducation-portal.com%2Fcimages%2Fmultimages%2F16%2Fdiscontinuous_functions_3.jpg&f=1&nofb=1) [Left sided one](https://external-content.duckduckgo.com/iu/?u=https%3A%2...
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2 months ago
Edit Post #283593 Post edited:
2 months ago
Comment Post #283593 But, Desmos doesn't say that https://math.codidact.com/uploads/BFqgLvA5GoQQdXzrgF1MUiz7 Earlier, I had took a picture from internet randomly
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2 months ago
Edit Post #283593 Initial revision 2 months ago
Answer A: What is "continuous" in Math?
Your question was,"What is continuous in Math". So, I am just talking about continuous and discontinuous. ContinuousDiscontinuous Continuous function : $f(x)=x$ Discontinuous function : $f(x)=\frac{1}{x-1}$ In simple word : Line of "continuous" goes along with (Continuous can be like ...
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2 months ago
Comment Post #283400 $\begin{bmatrix}a \\\\ b \\\\ c \\\\ d \end{bmatrix}$ is column vector.
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2 months ago
Edit Post #283565 Initial revision 2 months ago
Answer A: How to find constant equal to what in integration?
$$c\neq x0 + \frac{a0}{2}t^2$$ $$\dot{x} (t)=\int \ddot{x} t dt=\ddot{x}t+c$$ $$\dot{x}(t)=\ddot{x}t+\dot{x}(0)$$ $$x(t)=\int \dot{x} (t) dt$$ $$=\int \ddot{x}t+\dot{x0} dt$$ $$=\dot{x0}t+\frac{\ddot{x}}{2}t^2+c$$ $$=\dot{x0}t+\frac{\ddot{x}}{2}t^2+x0$$ Helped by PF
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2 months ago
Edit Post #283400 Post edited:
Most of people uses matrices hence, i am using it instead of matrix
2 months ago
Edit Post #283516 Post edited:
2 months ago
Edit Post #283516 Initial revision 2 months ago
Question Is $x=\int \int \ddot{x}\mathrm dx \mathrm dx$?
I know that multivariable calculus used like this $$\phi = \int \int x \mathrm dx \mathrm dy$$ But, I was thinking to use double integral for single variable (double integral respect to single variable) $$x=\int \int \ddot{x}\mathrm dx \mathrm dx$$ Is it correct? Or, there's better way t...
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2 months ago
Edit Post #283513 Initial revision 2 months ago
Question How to find constant equal to what in integration?
$$x(t)=\int \dot{x}(t)\mathrm dt=vt+c$$ That's what I did. But, book says $$x(t)=\int \dot{x}(t)\mathrm dt=x0+v0 t+ \frac{F0}{2m}t^2$$ Seems like, $x0 + \dfrac{a0}{2}t^2$ is constant. How to find constant is equal to what?
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2 months ago
Comment Post #283449 When proving $E=mc^2$ I wrote that $\frac{d}{dt}m(t)v=vdm. So, I thought it might apply for integration either. Anyway, the answer is helpful.
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2 months ago
Edit Post #283445 Post edited:
some contexts from book is required I think
2 months ago
Edit Post #283445 Initial revision 2 months ago
Question Prove that $\int \ddot{x}(t)\mathrm dt=v_0 + \frac{F_0}{m}t$
$$\ddot{x}(t)=\frac{F0}{m}$$ This is a second-order differential equation for x (t) as a function of t. (Second-order because it involves derivatives of second order, but none of higher order.) To solve it one has only to integrate it twice. The first integration gives the velocity $$\dot{x}(t)=...
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2 months ago
Edit Post #283400 Initial revision 2 months ago
Question If a matrix has lots of values in a column but, not in row than, what that actually called?
$\begin{bmatrix}a & b & c & d\end{bmatrix}$ $\begin{bmatrix}a \\\\ b \\\\ c \\\\ d \end{bmatrix}$ Which one is $1$ dimensional Matrix? I think that first matrix is $1$ dimensional. But, when we put $2$ values in row and two values in column. Then, we call that $2$ dimensional Matrix. So, what's...
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2 months ago
Edit Post #283390 Post edited:
2 months ago
Comment Post #283390 @#8056 so, which book would you suggest? (If you don’t have Link Than, just tell me the book name). And, i want to learn tensor calculus at first then i will read another book for GR (Thats what i have in my mind. But, if you have any book which also covers GR than, Thanks)
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2 months ago
Edit Post #283390 Initial revision 2 months ago
Question Book suggestion for Tensor Calculus (Differential geometry)
I have studied Multi-variable calculus. Now, I am thinking to study Tensor calculus. As it is an important topic in General Relativity. I have found a book called (Mathematical Methods in Physics: Distributions, Hilbert Space Operators, Variational Methods, and). Should I read that book? I want to le...
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2 months ago
Comment Post #283366 @#36363 Link that
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2 months ago
Comment Post #283339 @#36356 i know, but the thread comment was beautiful that's why i took that message.
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2 months ago
Edit Post #283339 Post edited:
2 months ago
Edit Post #283339 Initial revision 3 months ago
Question Book suggestion category proposal
I was thinking for a new category called Book suggestion (not only book suggestion either). Usually, most of Science students like to study Science books (their favorite subject) by themselves. Some of them self-study rather than getting to University. And, some of them looks for book suggestion. If ...
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3 months ago
Edit Post #282645 Post edited:
that's lim not limit
3 months ago
Suggested Edit Post #282645 Suggested edit:
that's lim not limit
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helpful 3 months ago
Edit Post #283210 Post edited:
3 months ago
Edit Post #283210 Post edited:
3 months ago
Edit Post #283212 Initial revision 3 months ago
Answer A: Find $y=b\cos^3\theta$ and, $x=a\sin^3\theta$ from hypocycloid's formula
We know $$\sin^2\theta+\cos^2\theta=1$$ So, we can write $$(\sin^3 \theta)^{\dfrac{2}{3}} +(\cos^3\theta)^{\dfrac{2}{3}}=1$$ Let, $$\sin^3\theta=\frac{x}{a}$$ $$\cos^3\theta=\frac{y}{b}$$ $$(\frac{x}{a})^{\dfrac{2}{3}} +(\frac{y}{b})^{\dfrac{2}{3}}=1$$ So, they took $$x=a\sin^3 \theta$$ ...
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3 months ago
Edit Post #283210 Post edited:
3 months ago
Edit Post #283210 Initial revision 3 months ago
Question Find $y=b\cos^3\theta$ and, $x=a\sin^3\theta$ from hypocycloid's formula
Here's the equation for hypocycloid $$(\frac{x}{a})^{\dfrac{2}{3}}+(\frac{y}{b})^{\dfrac{2}{3}}=1$$ Now, I have to find an equation for x and y. I can simply find by simple algebra. But, my book had used parametric equation, and they wrote $$y=b\cos^3\theta, x=a\sin^3\theta$$ How to find pa...
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3 months ago
Edit Post #283188 Initial revision 3 months ago
Answer A: How to determine area of square using Calculus in Cartesian coodinate?
Forget about specific value, and think of a square. Consider $$f(x)=s$$ and, $$x\in[0,s]$$. $$A\square=\int0^s s\mathrm dx$$ $$=[sx]0^s$$ $$=s^2$$ That's formula for area of square.
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3 months ago
Edit Post #283184 Initial revision 3 months ago
Answer A: Sigma summation to non-general summation
Let, $$s=\sum{n=0}^{m} r^n$$ So, $$s=1+r+r^2+...+r^m$$ $$rs=r+r^2+...r^{m+1}$$ $$rs=s-1+r^{m+1}$$ $$s(r-1)=-(1-r^{m+1})$$ $$s=\frac{1-r^{m+1}}{1-r}$$ You can try the method to solve this kind of problem.
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3 months ago
Edit Post #283183 Initial revision 3 months ago
Answer A: What is the meaning of integration under integral sign?
Usually, integration inside integration is "same" as differentiation inside integration. We use integration inside integration method(IIM) when we see that our problem is too hard. We take a simple integration. And, used that to find that harder ones. So, we can say that we are integrating in...
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3 months ago
Edit Post #283165 Post edited:
3 months ago
Edit Post #283165 Post edited:
Typo
3 months ago
Comment Post #283154 @#8056 not at all, i said It's square not "rectangle". Length of every line is same...
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3 months ago
Edit Post #283161 Post edited:
3 months ago
Comment Post #283161 Ohh! Sorry ~~I had to capture lots of context that's why I had gave that picture vertically~~... ... Done!
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3 months ago
Edit Post #283165 Initial revision 3 months ago
Question Prove $(\cos^3\theta+\sin^3\theta)^2= \cos^6\theta(1+\tan^3\theta)^2$
$$(\cos^3\theta+\sin^3\theta)^2= \cos^6 \theta(1+\tan^3\theta)^2$$ How to prove the above sum? I was looking at triple angle formula but, i couldn’t find relation between tan sin cos in triple angle formula.
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3 months ago
Edit Post #283161 Post edited:
3 months ago
Comment Post #283161 @#36356 I don't know what you meant by $=$. They had wrote beside the 3rd line (which I wrote in question using MathJax) `here` then, they wrote earlier line is equal to that. and, $=>$ is used for `or`.
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3 months ago
Edit Post #283161 Post edited:
3 months ago
Edit Post #283161 Post edited:
3 months ago
Edit Post #283161 Initial revision 3 months ago
Question Sigma summation to non-general summation
When doing definite integral as the limit of a sum I noticed they had changed Sigma summation to general summation not as general equation. Here's an example $$lim{h->0} h \sum{r=1}^n (a+rh)^m$$ $$=\lim{h->0} h[(a+h)^m+(a+2h)^m +....+ (a+nh)^m]$$ $$=\lim{h->0} \frac{(z+h)^{m+1}-z^{m+1}}{h}$$ ...
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3 months ago
Comment Post #283087 I remember what dimensional analysis is. I had studied that but, It's been a long day i have studied physics so, i forgot :(.. Anyway, thanks
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3 months ago
Comment Post #283154 But i know simple way that $5^2=25$. Area of square is $a^2$ that's the simple formula we know. But, why i am getting 50 when calculating using integration. Since, we know reality is forever same.
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3 months ago
Edit Post #283123 Post edited:
3 months ago
Comment Post #283123 @#53196 Yeah! It was my mistake.
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3 months ago
Edit Post #283123 Post edited:
3 months ago
Edit Post #283123 Initial revision 3 months ago
Question How to determine area of square using Calculus in Cartesian coodinate?
I was studying determination of area in Calculus. So, I decided to calculate area of rectangle using Calculus. Let, length of a line of a square is $5$. So, I decided to make an equation for that. I took $x^2+y^2=\sqrt{25}$. Firstly, it was looking perfect to me. Then, when I was calculating ...
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3 months ago
Comment Post #283086 Magically, DuckDuckGo says,"It is new word to me". I didn't find any result.
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3 months ago
Comment Post #283086 Youtube says,"i Don't know". I haven’t search in using Search engine. I will add another comment after searching
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3 months ago
Comment Post #283087 Little bit funny, cause i don’t know what dimensional analysis is. I haven’t read anything of that. So, could you explain it easily? You had said that i didn’t have x in numerator and denominator. I can also see that. So, what's your point? If it wasn’t you than i would downvote.
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3 months ago
Edit Post #283086 Initial revision 3 months ago
Question What is the meaning of integration under integral sign?
>What is the meaning of integration under integral sign? In simple : Differentiation means division. Integration means adding whole stuffs. When studying Differentiation under integral sign, I just thought I am differentiating under integral just to solve the solution easily. But, I can't ...
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3 months ago
Edit Post #283082 Initial revision 3 months ago
Question differentiate under integral sign says something went wrong
$$I=\int0^\infty \frac{\tan^{-1} ax \tan^{-1}bx}{x^2}\mathrm dx$$ $$\frac{dI}{da}=\int0^{\infty} \frac{\tan^{-1} bx}{x^2} \cdot \frac{x}{(ax)^2+1}\mathrm dx$$ $$\frac{d^2I}{\mathrm da \mathrm db} =\int0^\infty \frac{x}{x((ax)^2+1)((bx)^2+1)}\mathrm dx$$ that's what I got. But, my book says there...
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3 months ago
Comment Post #282998 @#52996 Yes! $x$ is dummy variable that's what my book wrote.
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3 months ago
Edit Post #282998 Initial revision 3 months ago
Question What is a dummy variable (in an integral)?
While I was learning about Gamma and Beta functions, I saw that they wrote that $x$ is dummy variable. What did they mean by that? I know that $x$ is changeable. $$\Gamma[n]=\int0^\infty e^{-x}x^{n-1} \mathrm dx$$
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3 months ago
Edit Post #282900 Post edited:
3 months ago
Comment Post #282900 @#53398 I like to answer that way. O:-) so, I will edit it later
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3 months ago
Edit Post #282900 Post undeleted 3 months ago
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3 months ago
Edit Post #282900 Post deleted 3 months ago
Edit Post #282900 Initial revision 3 months ago
Answer A: Solve $\int_0^{\dfrac{\pi}{6}} \sec^3 \theta \mathrm d\theta$
>Is my answer correct? My answer isn't correct. Cause, differentiation of $\sec x=\sec x\tan x$. I had differentiate inside integration. $$\int0^{\dfrac{\pi}{6}} \sec^3 \theta \mathrm d\theta$$ $$\int0^{\dfrac{\pi}{6}} (1-\tan^2 \theta) \frac{d}{d \theta} (\sec \theta \tan \theta) \mathrm d\...
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3 months ago
Edit Post #282886 Initial revision 3 months ago
Question Solve $\int_0^{\dfrac{\pi}{6}} \sec^3 \theta \mathrm d\theta$
>Evaluate $$\int0^{\dfrac{\pi}{6}} \sec^3 \theta \mathrm d\theta$$ I was trying to solve it following way. $$\int0^{\dfrac{\pi}{6}} \sec^2\theta \sec\theta \mathrm d\theta$$ $$\int0^{\dfrac{\pi}{6}}\sec^2\theta \mathrm d(\sec\theta)$$ $$[\tan\theta]0^\dfrac{\pi}{6}$$ $$\tan\frac{\pi}{6}$$ $...
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3 months ago
Comment Post #282780 You are actually talking about Definite Integrals. While my question was about Indefinite Integrals.
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3 months ago
Edit Post #282778 Initial revision 3 months ago
Question methodology of integration by parts ($e^{ax}\cos (bx+c)\mathrm dx$)
I was doing Integration by parts. I found an example which looks like : $$e^{ax}\cos (bx+c)\mathrm dx$$ While I was integrating it by parts. I noticed it is repeating. When it repeated first moment my book wrote $I$ instead of above equation where $I=e^{ax}\cos (bx+c)\mathrm dx$. The same value ...
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3 months ago
Comment Post #282771 Write texts of that pdf or, picture.
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3 months ago
Edit Post #282702 Initial revision 3 months ago
Question How to derive some trigonometric formulas?
I was reading a book. Where I found some equations. $$\sin (\alpha+\beta)=\sin \alpha \cos \beta + \cos \alpha \sin \beta$$ $$\sin (\alpha+\beta)=\cos \alpha \cos \beta - \sin \alpha \sin \beta$$ $$\sin (\alpha-\beta)=\sin \alpha \cos \beta - \cos \alpha \sin \beta$$ $$\sin (\alpha-\beta...
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3 months ago
Edit Post #282683 Initial revision 3 months ago
Answer A: Find the intervals on which it is increasing and those on which it is decreasing of the following function.
I was watching the tutorial. When I differentiated that function (which I wrote in question). I got $$f'(x)=3x^2-18x+24$$ When I worked on the equation further. And, put that $f'(x)=0$ than, I got that $x=2,4$. ![enter image description here][1] I wrote down intervals then. $$0\leq x<...
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3 months ago
Edit Post #282681 Initial revision 3 months ago
Question Find the intervals on which it is increasing and those on which it is decreasing of the following function.
>Find the intervals on which it is increasing and those on which it is decreasing of the following function. $$f(x)=x^3-9x^2+24x-12,0\leq x\leq 6$$ After differentiating (once) the function I get that $x=2,4$. But, I was getting confusing by reading those description of in some intervals it is inc...
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3 months ago
Suggested Edit Post #280851 Suggested edit:

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declined 3 months ago
Edit Post #282648 Post edited:
4 months ago
Edit Post #282649 Initial revision 4 months ago
Answer A: Differentiating a series expansion of an arbitrary function
$$\frac{n-1}{(n-1)!}$$ $$=\frac{n-1}{(n-1)(n-2)!}$$ $$=\frac{1}{(n-2)!}$$
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4 months ago
Edit Post #282648 Post edited:
4 months ago
Comment Post #282625 question on MathJax in Math Meta
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4 months ago
Comment Post #282625 I am not disagreeing with the idea. If you can read the image clearly than, instead of downvoting you should respectfully tell the user to use MathJax or Latex instead of image. But, if you use image and MathJax in same post than It's ok. But, i highly recommend to use details summary HTML tag for po...
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4 months ago
Edit Post #282648 Initial revision 4 months ago
Question Differentiating a series expansion of an arbitrary function
>Differentiate $F(x)=f(x)+(a+h-x)f'(x)+\frac{(a+h-x)^2}{2!}f''(x)+... + \frac{(a+h-x)^{n-1}}{(n-1)!}f^{(n-1)}(x)+k(a+h-x)^m$ I was trying to solve it following way. $$F'(x)=f'(x)-f'(x)+(a+h-x)f''(x)-(a+h-x)f''(x)+\color{blue}{\frac{(a+h-x)^2}{2!}f'''(x)}+\frac{\color{red}{(n-1)}(a+h-x)^{n-2}}{(...
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4 months ago
Edit Post #282636 Post edited:
4 months ago
Edit Post #282636 Initial revision 4 months ago
Answer A: A formal-logic formula for decimal to binary conversion
I am giving Python code. ```python Function to convert decimal number to binary using recursion def DecimalToBinary(num): if num >= 1: DecimalToBinary(num // 2) print(num % 2, end = '') Driver Code if name == 'main': # decimal value decval = 24 ...
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4 months ago
Edit Post #282631 Post edited:
improve formatting
4 months ago
Edit Post #282631 Post edited:
4 months ago
Edit Post #282631 Initial revision 4 months ago
Question Rules of checking differentiability for Rolle's theorem
I was doing some exercises of Rolle's theorem. But, they didn't check the differentiability the way we checked differentiability normally. I am giving some examples. When I was checking differentiability with limit (before differentiation) I was just putting $x$ values which given in question. Li...
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4 months ago
Comment Post #282623 I have edited my question
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4 months ago
Comment Post #280857 question on MathJax in Math Meta
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4 months ago
Comment Post #280857 I am not disagreeing with the idea. If you can read the image clearly than, instead of downvoting you should respectfully tell the user to use MathJax or Latex instead of image. But, if you use image and MathJax in same post than It's ok. But, i highly recommend to use details summary HTML tag for po...
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4 months ago
Comment Post #282623 @#53410 i thought i can't mention you. But, finally i can.😅. Anyway, actually asker sometime may mistake While typing. Or, they misunderstand also. Thats why he requested me to post an image of that book.
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4 months ago
Edit Post #282623 Post edited:
4 months ago
Comment Post #282623 @#52996 I didn't give picture cause, you won't understand lot of texts.. That's why I didn't give picture. I am adding picture and proving the whole theorem what I did.
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4 months ago
Comment Post #282623 @#52996 Advanced Calculus |... Is the question necessary?
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4 months ago
Edit Post #282623 Initial revision 4 months ago
Question Second mean value theorem proof (differentiation)
>Since $F(x)$ is continuous in the closed interval [a,a+h] and differentiable in the open interval (a,a+h). Also f(a) = f(b) so by Rolle's theorem we get $$F'(a+\theta h)=0,a book book Let $$F(x)=f(x)+(a+h-x)f'(x)+A(a+h-x)^2$$-----1 $$=>F(a)=f(a)+(h)f'(a)+A(h)^2$$--------2 ...
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4 months ago
Edit Post #281632 Initial revision 6 months ago
Answer A: difference between quotient rule and product rule
The answer to > How does a Physicist and Mathematician solve this type question? Even, > is it OK to use Product rule instead of Quotient rule in University > and Real Life? is that any experienced scientist knows several methods to solve problems and uses those that are most convenient for ...
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6 months ago
Edit Post #281630 Initial revision 6 months ago
Question difference between quotient rule and product rule
Product rule : $$\frac{d}{dx} f(x)g(x)=f'(x)g(x)+f(x)g' (x)$$ Quotient rule : $$\frac{d}{dx} \frac{f(x)}{g(x)}=\frac{f'(x)g(x)-f(x)g'(x)}{[g(x)]^2}$$ Suppose, the following is given in question. $$y=\frac{2x^3+4x^2+2}{3x^2+2x^3}$$ Simply, this is looking like Quotient rule. But, if I...
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6 months ago
Comment Post #281586 I got your point. In SE sites, they said that `homework-and-exercises` is off-topic. Is it off-topic here also? Where can I read about off-topic in this site? Have Codidact Community created any documentation/page of it?
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6 months ago
Edit Post #281489 Post edited:
6 months ago
Edit Post #281489 Initial revision 6 months ago
Question Can this site contains Physics's Math question?
I found the question. This is completely related to Physics only Calculus is Math. So, does the question belong to Physics Codidact or, this is site where we can ask any type of Math question.
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6 months ago