3. A company charting its profits notices that the relationship between the number of units sold, x, and the profit, P, is linear. Given that 200 units sold results in a $3100 profit and 250 units sold results in a $6000 profit, write the profit function for this company.13. Differentiate. Do not simplify: (a) f(x) = 4x3 5x (b) f(x) = 34-2(9x2+ 3x6)? (c) f(x) = 1x 5 -8x (d) f(x) = V5x -x4 14. The population of the city of Stockton is growing at a (continuous) rate of 0.92% per year. (a) At this rate, how many years will it take for the population to triple? The current population is 291,000. Set up an equation and solve, showing work. Round your answer to two decimal places. (b) What will be the yearly rate of change in population 10 years from now