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MTH 120 Quiz #11 Section 7.3 and 7.4 Name________________________________________ Evaluate the definite integral. Show work. 8 1) (1 + 3x) dx 4 Find the area of the shaded region. 4) f(x) = 2x - x2 ∫ y 3 2 1 -1 1 2 3 4 5 x -1 -2 -3 Solve the problem. 2) After a new firm starts in business, it finds that its rate of profit (in hundreds of dollars) after t years of operation is given by P'(t) = 3t2 + 8t + 10. Find the profit in year 4 of the operation. Sketch the graph of f(x). Shade the area under the curve over the given interval and find the area of it. You must show the set-up as well as the answer. 5) f(x) = x - 3 [4, 16] 3) A company estimates that its sales will grow continuously at a rate given by the function S'(t) = 15et, where S'(t) is the rate at which sales are increasing, in dollars per day, on day t. Find the sales from the 3rd day through the 6th day. (This is the integral from 2 to 6.) 1