a.

dz 0z oz dz Use the functions below to (a) express say and ay as functions of u and v both by using the Chain Rule and by expressing w directly in terms of u and v before differentiating. Then (b) evaluate -, and -, at the given point (u,v). z= 5tan 1- , x= ucos v, y = usinv. (U.v) = |0.1,2 dz dz (a) Express -, and - as functions of u and v respectively. az au =(Type an exact answer.)dw Find ar when r =7 and s= - 7 ifw=(x+y+z)", x=r - s, y= cos (r+ s), z = sin (r+ s). dw r=7, s= -7 (Simplify your answer.)\f3y Find the gradient of the function g(x, y) = at the point ( - 1, 3). Then sketch the gradient together with the level curve that passes through the point. 2 X + 1 First find the gradient vector at ( - 1, 3). Vg( - 1, 3) = i+ j (Simplify your answers.)