Answer to Question #265853 in Calculus for chaitu

Question

The temperature T at any point (x, y, z) in space is T = 400xyz2

. Find the

highest temperature on the surface of the unit sphere x

2 + y

2 + z

2 = 1.

10. If u =

x + y

x − y

, v =

x + y

x

, w = x + y + z, determine whether there is a

functional relationship between u, v, w and if so, find it.

11. If u = xey

sin z, v = xey

cos z, w = x

2e

2y

, determine whether there is a

functional relationship between u, v, w and if so, find it.