Suppose your daily revenue from selling used DVDS is R(t) = 100 + 10t (0 sts 5) dollars per day, where t represents days from the beginning of the week, while your daily costs are C(t) = 60 + 5t (0 st s 5) dollars per day. Find the area between the graphs of R(t) and C(t) for 0st s 5. What does your answer represent? average revenue per day average cost per day average profit per day total revenue for the week total cost for the week total profit for the week

The U.S. population can be modeled by the function y=165.6x¹.345, where y is in thousands and x is the number of years after 1800. (a) What was the population in 1970, according to this model? (b) is the graph of this function concave up or concave down? What does this mean? (c) Use numerical or graphical methods to find when the model estimates the population was 94,150,000. (a) According to the model, the population in 1970 was thousands. (Round to the nearest integer as needed.)

Find the total area bounded by the x-axis and the curve y = f(x) on the indicated interval. Enter your answer in exact form or as a decimal number rounded to the nearest thousandth. 2 f(x) = ; [5,7] 4x-6

The total revenue for a product can be calculated as the area under the demand curve. Suppose that the demand curve for a certain wine (in dollars per liter) is given by the following, where is the demand in liters. Estimate the total revenue using rectangles of width 10 ters D(4) = ² -10q+267 for 0 sqs50 The approximate revenue using left endpoints is The approximate revenue using right endpoints is $ The approximate revenue using the average is $