Activity for Sunny
| Type | On... | Excerpt | Status | Date |
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| Edit | Post #291825 |
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— | 6 months ago |
| Edit | Post #291824 |
History hidden: Detailed history before this event is hidden because of a redaction. |
— | 6 months ago |
| Edit | Post #291824 |
Post edited: |
— | 6 months ago |
| Edit | Post #291827 |
Post edited: |
— | 6 months ago |
| Edit | Post #291827 |
Post edited: |
— | 6 months ago |
| Edit | Post #291828 |
Post edited: |
— | 6 months ago |
| Edit | Post #291828 |
Post edited: |
— | 6 months ago |
| Edit | Post #291828 | Initial revision | — | 6 months ago |
| Question | — |
How can I improve this tree diagram, for the Multivariable Chain Rule with all partial derivatives? How can I better Figure 2 in James Stewart, Daniel Clegg, Saleem Watson, Calculus Early Transcendentals (2021 9 ed), p. 987? Addition and multiplication are missing. Figure 2 fails to picture what shall be added, and what shall be multiplied. Figure 2 keeps rooking my students into mixing up + and ×!... (more) |
— | 6 months ago |
| Edit | Post #291827 | Initial revision | — | 6 months ago |
| Question | — |
Why do students mix up addition and multiplication, in the Multivariable Chain Rule with all partial derivatives? I have taught multivariate calculus for years. Annually, some student always swaps + and ×. They trump up >$\color{red}{\dfrac{\partial z}{\partial s} = (\dfrac{\partial z}{\partial x} + \dfrac{\partial x}{\partial s}) [\dfrac{\partial z}{\partial y} + \dfrac{\partial y}{\partial s}]}$ instead... (more) |
— | 6 months ago |
| Edit | Post #291825 | Initial revision | — | 6 months ago |
| Question | — |
How can you forebode that amount of wood in a napkin ring is the same, regardless of the size of the sphere used ? Stewart, Clegg, Watson. Calculus Early Transcendentals, 2021, 9th edition. page 467. Problem 64.  When I attempted this question, I thought I flubbed, because my answer lacked R and r! Even after seeing the solution, I still can’t intuit why the napkin ring’... (more) |
— | 6 months ago |
| Edit | Post #291824 | Initial revision | — | 6 months ago |
| Question | — |
How can you forebode that the answer shall be independent of the number of sides of the base of the polygon ? Stewart, Clegg, Watson. Calculus Early Transcendentals, 2021 9th edition. page 370. Problem 24. >24. Given a sphere with radius r, find the height of a pyramid of minimum volume whose base is a square and whose base and triangular faces are all tangent to the sphere. What if the base of the pyrami... (more) |
— | 6 months ago |