Solve the following application situations. 1) The marginal cost C'(x) of producing x widgets is given by C'(x)=x²-7x + 25 Find the total cost function, C, assuming that C(x) is in dollars and that fixed costs are $9,400. 7 2) Find the area of the function f(x) = x³ - x²-x + 4 for x = -1 to x = 4. 7 32 8 3) The weekly online sales, S(t), in thousands of dollars, t weeks after online sales began, is given by S(t) = 6e³t – et + 17 Find the average weekly sales for the first 3 weeks after online sales began. 4) A company purchases a new machine for which the rate of depreciation is 10,000(t 6),0 ≤ t ≤ 5, where V is the value of the machine after t years. Set up and evaluate the definite integral that yields the total loss of value of the machine over the first 3 years. Fagus

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