Let D be a cube. Our aim is to integrate f(x,y.z)=x-3y+z-5 over D. Which among the following options is the best to use? * O Spherical coordinates Cartesian coordinates Cylindrical coordinates

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A: Consider the provided question, (a) Given, x2 + y2 = 49 We have, x2 + y2 = 49 or x2 + y2 = (7)2…

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Q: yes, hi. I've seen another source, use set variables to 0 and then solve individually, answers are…

A: setting z=0 and solving for x and y. similarly setting y=0 and solving for x and z.

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Q: . du/dv = (u - v)2 - 2(u -v) - 2

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Q: What is / - z dx? 1-x² o f- dx = -2cos-lx + C V1-x2 S- dx = 2sin-lx + C (1–x2 S-d 2 dx = 2cos-x + C…

A: 1. I=∫-21-x2dx =-2∫11-x2dx =-2sin-1x+C    ∵As ddx(sin-1x+C)=11-x2⇒∫11-x2dx=sin-1x+C=-cos-1x+C…

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Q: ds2  = dx2 - e2ax dy2

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A: Given, a wave equation :                                   utt = c2uxx                      (1)

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A: Inner product is as usual dot product,

Q: ds2  = dx2 - e2ax dy

A: Given:ds2  = dx2 - e2ax dy2