MAT-1110 Midterm: MATH 1110 App State summer2017 Test3
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Show your work: (20 points) a problem of extremes. (a) let f (x) = If so, where? (b) let f (x) = x4 + 4x3 + 5: find the critical points of f (x), use the 2nd-derivative test to attempt to classify each point. Explain your answer: (15 points) suppose we are building a large rectangular box whose height and depth are the same (as pictured to the right). Our box has no top (we only need material for the four sides and bottom). In addition, suppose that we have 150 square feet of material with which to build our box. Determine the dimensions which maximize the box"s volume. x y x: (16 points) revenue, cost, & pro t. If not, explain why not. (b) suppose that we are selling hot dogs. [c(q) is measured in dollars and q is the number of hot dogs sold. ] What does c (2000) = 0. 25 mean? (approximately)
