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4. (4 points) A coffee company has found that the marginal cost, in dollars per pound, of the coffee it roasts is represented by the
4. (4 points) A coffee company has found that the marginal cost, in dollars per pound, of the coffee it roasts is represented by the function C'(:c) = 0.05m + 8.95 for x S 160, Where a: is the number of pounds of coffee roasted. Find the total cost of roasting 100 pounds of coffee, disregarding any xed costs. 5. (4 points) Given that the marginal cost of producing :3 pints of fresh-squeezed orange juice is given by C'(m) = 0.000007:c2 0.003x + 1 for x S 200, where C'($) is in dollars per pint. Approximate the total cost of manufacturing 120 pints of juice, using 3 subintervals over [0, 120] and the left endpoint of each subinterval. 6. (3 points) Use geometry to evaluate the definite integral / (4 -2x)dx. 7. (3 points) Use geometry to evaluate the definite integral V16 - x2dx
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