(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.
Du (b). Use the chain rule to find and y = scost, z = s sint when s = 1 and t=0 Ow at where w= = 22 + y2 + 22, r = st,
(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,
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...
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
3. Given w = x2 + y2, where x = eat and y = (4+t)2, use the chain rule to determine du
3)If w = x2 + y2 + z2 ; x = cos st, y = sin st , z = sat find 4)Find the minimum of the function f(x,y) = x2 + y2 subject to the constraint g(x, y) = xy - 3 = 0 5)Find the first and second order Taylor polynomials to the function f(x,y) = ex+y at (0,0). 6) Let f(x, y, z) = x2 – 3xy + 2z, find Vf and Curl(f)
(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
If?=? ?+? ? ,where?=??? ,?=?? ? ,?= ?2? sin ?, use the chain rule to find ??⁄?? . Leave your answer in terms of x, y, z, r, s and t.
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