(b). Use the chain rule to find and so, where w = x2 + y2 + z2, x = st, y = scost, z = s sint when s= 1 and t=0.
(b). Use the chain rule to find aw and as y = 8 cost, z = s sint when s= 1 and t=0 aw at where w = = 22 + y2 + z2, x = st,
(b). Use the chain rule to find me and where w = 22 + y2 + 22, x = st, y = scost, z = ssint when s = 1 and t = 0.
a. Use the Chain Rule to find the indicated partial derivatives. z = x4 + x2y, x = s + 2t − u, y = stu2; ∂z ∂s ∂z ∂t ∂z ∂u when s = 1, t = 2, u = 3 b. Use the Chain Rule to find the indicated partial derivatives. w = xy + yz + zx, x = r cos(θ), y = r sin(θ), z = rθ; ∂w ∂r ∂w ∂θ when r = 8, θ = pi/2 c. Use the...
(1 point) Use the chain rule to find du dt where w = x+y4 + y 25, x = e', y = e' sint, z = = e cost First the pieces oho д ㅋㅋ Thu d Now all together Bu da dt er de Che dy y de is too horrible to write down (correctly). 3: di
3. (a) Find the partial derivatives (with respect to r and s) using the chain rule:[express the final answer in r and s only ,y= r2 +In(s) and z-2r wx2y +z2 ; where x (b) Find dt if f (x, y) = xy + z; where x cos t ,y = sint and z = 3t2
dz Use the chain rule to find where z=(x - y)?, x=st and y=st? at Use the Comparison Test to determine if the series is convergent or divergent. n=1 2n4-1
(1 point) Use the chain rule to find ow, where u0 = xy + yz,x = d, y = e sin t, z = e cost First the pieces: Now all together: dw = dw dx + dw dy + dw dz is too horrible to di – og det du di + Öz do is too horrible to write down (correctly).
8. Write out the Chain Rule for w = f(:r,y,z) and 1 = r, s, t), y = y(r, s,t), z = z(1,5,6). (4)
If?=? ?+? ? ,where?=??? ,?=?? ? ,?= ?2? sin ?, use the chain rule to find ??⁄?? . Leave your answer in terms of x, y, z, r, s and t.