Correction Sections: 2.1, 2.2, 2.3, 2.4, 3.1, 3.2, 3.3 1. An initial investment amount P, an annual interest rate r, and a time t are given. P = $28,000, r = 4.1%, t = 39 months a) Find the future value of the investment when interest is compounded daily. bj Find the future value of the investment when interest is compounded Continuously. c) Find the doubling time for the given interest rate if the interest is compounded Continuously.2. A company's total cost, in millions of dollars, is given by C(t) = 120 -70g- where t is the time in years since the start-up date. Find each of the following. Please include the unit. a] The marginal cost, C'(t) bj c'(0) C) C (6) dj lim (() 3. Find the equation of the line tangent to the graph of f(x) = (Inx) at x = 4.4. Suppose that a company introduces a new computer game in a city using television advertisements. Surveys show that P% of the target audience buy the game after x ads are broadcast, satisfying the equation below. P(x) = 100 1+48 g-0.16x al What percentage buy the game without seeing a TV ad? (Type an integer or a decimal rounded to the nearest tenth as needed.) b) What percentage buy the game after the ad is run 18 times? (Type an integer or a decimal rounded to the nearest tenth as needed.) c) Find the rate of change, P'(x). d) Find two points on the graph of P(x). ") Find the limit of P(x) as x approaches to co