Let f (x) C = C = = x on [0, 5], and let P = {0, c, 5}. Find two values of c in (0, 5) such that Uf (P) = 22. (smaller value) (larger value)

Differentiate the function.

Find f,(x, y) and f,(", y) for f(x, y) = (82³ – 3y?)". f.(x, y) = Preview f,(x, y) = Preview

of of Let f(x,y) = 4x2 + 4xy-3y2 + 7x-7y-2. Find (2, ,-4) and (2,- 4). of (2,- 4) =(Simplify your answer.) of (2, - 4) =(Simplify your answer.) Enter your answer in each of the answer boxes.

Find if the following is homothetic: F (x, y) = x²y + y3 1. Yes, it is homothetic. 2. No, it is not homothetic. Enter the number of the correct answer in the space provided.

Let f(x, y) = xy² and r(t) = (¹/1²,t³). Calculate Vf. (Use symbolic notation and fractions where needed. Express numbers in exact form. Give your answer in the form (*, *). ) Vf= Calculate r' (t). (Use symbolic notation and fractions where needed. Express numbers in exact form. Give your answer in the form (*, *). ) r' (t) = Use the Chain Rule for Paths to evaluateƒ(r(t)) at t = 1.5. (Use decimal notation. Give your answer to three decimal places.) d dt - ƒ(r(1.5)) = = Use the Chain Rule for Paths to evaluate ƒ(r(t)) at t = -1.7. (Use decimal notation. Give your answer to three decimal places.) d dt d f(r(-1.7)) =