Handout (Some Practice Problems for Exam 2) (Schwartz; Math 157) These problems are for practice, so you do not need to hand in your solutions. It is not meant to be a comprehensive review. In fact, many of the learning objectives are not addressed by these problems. It might be useful to look at the list of learning objectives and determine which objective(s) are addressed by each problem. 1. Suppose that ?(?) is increasing and concave down. Answer each of the following or claim that the answer cannot be determined from the given information. (a) Which will be greater, ?(3) or ?(4)? (b) Which will be greater, ?′(3) or ?′(4)? (c) Which will be greater, ?′′(3) or ?′′(4)? 2. In Kennebunkport, a local grocer can sell 20 bags of Eatitup if he sets the price at $3.95 a bag. At that price point, the demand is decreasing at a rate of 2 bags per 25 cent increase in price. Across the country in Ferndale, a local grocer can sell 45 bags of Eatitup when he sets the price of a bag at $3.25. At that price, the demand is decreasing at a rate of 5 bags per 25 cent increase in price. (a) Compute the price elasticity of demand for Eatitup in each store, and state whether the demand is elastic or inelastic at the given price. (b) Use the PED to decide which demand is more resistant to an increase in price. Explain. 3. Find the equation of the line tangent to ? 3 + ? + 5? + ? 2 = 16 at the point (1,2). 4. A certain box has a square base of side length x inches, and a height of h inches. The surface area of this box is given by ? = 4?ℎ + 2? 2 . (a) Find the rate at which the surface area changes with respect to ? if the height must remain constant. (b) Find the rate at which the height changes with respect to x if the surface area must remain constant. (c) Suppose that the surface area is increasing at a rate of 50 square inches per second, and that x is increasing at a rate of 7 inches per second. Find the rate at which the height is changing when all three dimensions of the box are 10 inches. Is the height increasing or decreasing? (d) Suppose we impose a constraint requiring that ? 2 + ℎ = 100. Use calculus to find the maximum possible surface area for the box.

AccountingQueen

(3)

Status NEW Posted 13 Aug 2017 05:08 PM My Price 10.00

Hel-----------lo -----------Sir-----------/Ma-----------dam----------- T-----------han-----------k y-----------ou -----------for----------- us-----------ing----------- ou-----------r w-----------ebs-----------ite----------- an-----------d a-----------cqu-----------isi-----------tio-----------n o-----------f m-----------y p-----------ost-----------ed -----------sol-----------uti-----------on.----------- Pl-----------eas-----------e p-----------ing----------- me----------- on----------- ch-----------at -----------I a-----------m o-----------nli-----------ne -----------or -----------inb-----------ox -----------me -----------a m-----------ess-----------age----------- I -----------wil-----------l

Not Rated(0)

• Buy Answer