MATH 1160 Final: Math1160FinalSp10Solutions
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Instructions: time duration: 4 hours (from 8:00 am to noon) on friday, april 30th, calculators are allowed, show your work neatly and concisely to get full credit, if you need more space, use the back of the page. 3 x3 3: (5 points) the function f (x) = 1. 6 : (5 points) let c(q) = 3q2 + 1 represent the cost of producing q items. Calculate the marginal average cost function m (q). q2 q. M (q) = 6 dq c(q) M (q) = d q = d dq (3q + q 1) = 3 q 2 = 3 1 q2: (5 points) find the derivative of y = f (x) = ln(e3x). None of the above. f (x) = ln e3x = 3x ln e = 3x f (x) = 3: (5 points) find an antiderivative of f (x) = cos(3x). F (x) = 3 sin(3x) + c. Z f (x) dx = z cos(3x) dx =
