Question: Problem 1. Consider the following function: f(w) = 11106) +4/x/E. 2: > 0- a. Find the extreme point of this function. b. Is this extreme

Problem 1. Consider the following function: f(w) = 11106) +4/x/E. 2: > 0- a. Find the extreme point of this function. b. Is this extreme point a minimum or a maximum? Explain your answer. c. Find the infection point of this function. Problem 2. Compute the following integrals. a. J dm b. [02 e2334da: 2 c FEM 1 Problem 3. Consider the following function: ay) =11'1(5L'2 + my + y) a. Evaluate the rst order partial derivatives .8 f / 8:3 and 8 f / 63; at a: = 1 and y = 1. b. Evaluate the rst order partial derivatives 62 f / 83:2 and 62 f / 63;? at a: = 1 and y = 1. c. Show that the value of 62 f / (away) at m = 1 and y = 1 is equal to the value of agf/(Bydm) at a: = 1 and y = 1

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