HW Supplement: Antidifferentiation 1. 5x² + √x-ex +1) dx Name 2. Find the function f(x) given that f'(x)=7e* and f(0) = 15. 19-0 mats is R'(q)=6q-2.1q² dollars 3. Yoga Central estimates that the marginal revenue derived from producing q units of its yoga per unit. Determine the revenue function associated with producing and selling the mats. What is the demand equation that relates the whole-sale unit price with the quantity demanded?

Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.

Pure Water Enterprises finds that the marginal profit, in dollars, from drilling a well that is x feet deep is given by P'(x)=√x. Find the profit when a well 225 ft deep is drilled.

The value of a car decreases each year. The rate at which the value decreases is called depreciation and is a represented by a percentage. For Alina buys a car for $25,000, and the depreciation rate is 25%. That means that her car’s value goes down by 25% each year. The value can be represented by the function V(y)=25000(0.75)^v, where V represents the value of her car and y represents the number of years that she owns a car. Find the depreciated value of her car if she keeps it for 5 years. In other words, evaluate: V(5)=25000(0.75)^5, rounding to the proper decimal place for money.