Question

1) Solve the problem. 1) The resale value of a certain industrial machine decreases over a 10-year period at a rate that changes with time. When the machine is x years old, the rate at which its value is changing is 280(x - 10) dollars per year. By how much does the machine depreciate during the fourth year? A) A decrease of $1540 B) A decrease of $1820 C) A decrease of $8960 D) A decrease of $1680 The slope f '(x) at each point (x, y) on a curvey = f(x) is given along with a particular point (a, b) on the curve. Use this information to find f(x). 2) S'(x) = 9x2 + 8x + 4; (0, 3) 2) A) Rx) = x+8 B)/(x) = 3x3+4x2 + 4x - 3 C) S(x) = 9x3 + 8x2 + 4x + 3 D)/(x) = 3x3 + 4x2 + 4x + 3 Find the indicated limit if exists. limx2.16 3) 3) A) The limit fails to exist B) 4 D) 0 C) 8 lim 5x - 2 x 3 x2 + 8 A) 5 B) The limit fails to exist 19 8

Answer 1

When the machine is a years old, the gate at which its value is changing is f'W - 280631-10 Resale value of industrial machine olep oecide year f(1) = 280 (1-10) dx during the fourth 4 F C 4 2. - 280 l - 1000 2 280 (8-40 - +10 2 = - 6300 Decrease of $6300