"Approximate the area under the graph of f(x) = 0.02x" - 1.21x" + 44 over the interval [3,11] by dividing the interval into 4 subintervals. Use the left endpoint of each subinterval. The area under the graph of f(x) =0.02x* - 1.21x2 + 44 over the interval [3,11] is approximately. (Simplify your answer. Type an integer or a decimal.) Approximate the area under the graph of F(x) = x3 + 10x2 -x - 10 over the interval [ - 7, - 2] using 5 subintervals. Use the left endpoints to find the heights of the rectangles. The area is approximately square units. (Type an integer or a decimal. 3. A concert promoter sells tickets and has a marginal-profit function given below, where P'(x) is in dollars per ticket. This means that the rate of change of total profit with respect to the number of tickets sold, x, is P'(x). Find the total profit from the sale of the first 60 tickets, disregarding any fixed costs. P'(x) = 9x - 1196 The total profit is $. (Round to the nearest cent as needed.) 4. A coffee company has found that the marginal cost, in dollars per pound, of the coffee it roasts is represented by the function below, where x is the number of pounds of coffee roasted. Find the total cost of roasting 290 lb of coffee, disregarding any fixed costs. C'(x) = - 0.017x + 8.50, for x $ 500 The total cost is $. Round to the nearest cent as needed.) 5. A note card company has found that the marginal cost per card of producing x note cards is given by the function below, where C'(x) is the marginal cost, in cents, per card. Find the total cost of producing 540 cards, disregarding any fixed costs. C'(x) = - 0.05x + 86, for x s 1000 The total cost is cents