Question 2 [30 points] a) [9 points] Consider the function f(x, y, z) = where x² + y² x = −2 sin²(t), y = sin ( ½ − t) +

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Question 2 30 Points A 9 Points Consider The Function F X Y Z Where X Y X 2 Sin T Y Sin T 1 (54.7 KiB) Viewed 14 times

Question 2 [30 points] a) [9 points] Consider the function f(x, y, z) = where x² + y² x = −2 sin²(t), y = sin ( ½ − t) + cos(2t), df dt and z = tan( t). Find the value of it is given that t = 4. - b) [12 points] Compute each of the following limits, and if there is no limit, then provide a justification: xy² cos(x) lim (x,y) (0,0) x² + y² =?, lim if 16x³ – 54y³ - (x,y)→(3,2) 16x4 – 81y4 - c) [9 points] For the function - - f(x, y, z) = (cos(x) – In(2y) — 2e−³z)20 find all the second partial derivatives.