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Can you evaluate question with every step

PRACTICE HOUR 3: Problem 12 Previous Problem List Next (1 point) Suppose z = z2 sin y2 = 82 + 3t4 y = -8871 A. Use the chain rule to find and as functions of x, y, s and t. as and when (s, t) = (-4, -1) B. Find the numerical values of (-4,-1) (-4,-1) as Note: You can earn partial credit on this problem. Preview My Answers Submit Answers

Answer 1

Given Z = x² siny where a = 5² + 34² y = -850 A To use 22 as chein aule por finding & az at Z az = az ax Әх. as t az ay os 25 X dx 5 t = a (x²sing). (25) + (x²sing ay • (-86) 2x - siny.(25) +(?:cosy) (-86) 27 as az = 4.0.5 siny 8.x². t.cos os y ds Mor, az az ә) at Ә2 at az ay oy at = a (x² siny). (66) ta 2x 2.sing).(-88) 21 - 22-siny. (64) + Cascosy) (-85) az = 12.4otosiny) at 8.4.5.659

& dz B) Mow to find 22 as ət (s, t)=(-4,-1) cet cet s=-4, 52-4, te-1 x=(-4) ²+ 3(-1) ² = 16 +3 = 19 & -8 (-621-1) of = -32 So, from part (A) 4(19) (-4) sin (-32) 18 (1926-1) 656-32) əz as leh -4,-1) = 2576.870776 az at 12 (19)61 sin (-32) -8 (19)2 (-uGOS(-32) Hoh, -1) 9762.67 3544

So, the a Lu care А) Әх. 5. sin (1) - Rx't. (5() Әө ӘД. Ә 12xt-sin (7) - Rx*4 5(3) В) әх. SS 2576.81 1. әS (-4-4) Әд 976 2.6-4 S at (-) — 1)