1. Use a calculator and evaluate A to the nearest cent. A = $15,000 e 0.01t for t = 3, 5, and 9 If t = 3, A~ $ (Do not round until the final answer. Then round to the nearest hundredth.) If t = 5, A~ $ (Do not round until the final answer. Then round to the nearest hundredth.) If t = 9, A ~ $ (Do not round until the final answer. Then round to the nearest hundredth.)10. Replace ? with an expression that will make the equation valid. dx (3 - 8x2) 5 =5(3-8x2) 4 ? The missing expression is13. Find y' in two ways for the equation 4x + 9y + 7= 0. (A) Differentiate the given equation implicitly and then solve for y'. (B) Solve the given equation for y and then differentiate directly. (A) What is the implicit differentiation of the given function? O A. 4- 9y' = 0 O B. -4x - 9y' = 0 O C. 4+9y' = 0 O D. - 4+9y' =0 (B) Solve the given equation for y. y = Using either method, y' = 14. Use implicit differentiation to find y' for the equation below and then evaluate y' at the indicated point. y 2 + 5y+ 2x = 0; (-3, 1) y' = y' l ( - 3,1) = L (Simplify your answer.) 15. dx Assume that x = x(t) and y = y(t). Let y = x +4 and -=5 when x = 1. dy Find - when x = 1. dy dt (Simplify your answer.) 16. Find the relative rate of change of f(x) = 100x - 0.4x2. The relative rate of change of f(x) is 17. Find the percentage rate of change of f(x) at the indicated value of x. f(x) = 165 +42x; X =4 The percentage rate of change of f(x) at x = 4 is |%. (Type an integer or decimal rounded to the nearest tenth as needed.)18. Use the price-demand equation below to find E(p), the elasticity of demand. x = f(p) = 12,500 - 275p E(p) = 19. Use the price-demand equation below to determine whether demand is elastic, is inelastic, or has unit elasticity at the indicated values of p. x = f(p) = 150 -6p - 0.1p2 (A) p = 10 (B) p = 15 (C) p =5 (A) Describe the demand's elasticity for the given price-demand equation at p = 10. Choose the correct answer below. O Inelastic O Elastic O Unit Elastic (B) Describe the demand's elasticity for the given price-demand equation at p = 15. Choose the correct answer below. O Inelastic O Elastic O Unit Elastic (C) Describe the demand's elasticity for the given price-demand equation at p = 5. Choose the correct answer below. O Elastic O Inelastic O Unit Elastic20. Use the price-demand equation below to find the revenue function. Sketch a graph of the revenue function, and indicate the regions of inelastic and elastic demand. x = f(p) =54 -61p R(p) = Which graph below is the graph of the revenue function? O A. O B. O C. O D. AR(P) AR(P) 650 20- A B to -20 85 85 Region A in the graph of the revenue function is (1) Region B in the graph of the revenue function is (2) (1) O inelastic. (2) O elastic. O elastic. O inelastic. O neither elastic or inelastic. O neither elastic or inelastic