decreasing? [/5. Let g be the function given by g(x) = [" sin(r]Jar for -I s x $ 3. On which of the following intervals is (A) -15 50 (D) 1.772 5 x $ 2.507 (B) OSIS 1772 (E) 2802 S x 5 3 (C) 1253 S * $ 2171 16. A particle moves along the x-axis so that at any time / 2 0, its velocity is given by v() = 3 + 4.1 cos(0.91). What is the acceleration of the particle at time r = 47 (A) -2.016 (B) -0.677 (C) 1.633 (D) 1814 (E) 2.978 17. Find an equation of the line tangent to the graph of y = - _gat x - 3. 74 - 6 (A) Saty = 18 (B) 5x - y - 12 (C) 5x + 3y = 24 (D) x - Sy = -12 (E) x + y =6 18. Iff (x) = In(x + 4 + e -3), then /'(0) is (A) - (B) (D) (E) nonexistent 19. If f(x) = In(x3 - 1 1, then f(x) = (A)= 2x (D) 21 - 1 2x Tx3 - IT (E) 7 - 2 x (0) 2 20. Let f(x) =x3- 12x. Which statement about this function is false? (A) The function has one inflection point. (B) The function is concave upward for 1 2 0. (C) The function has two relative extrema. (D) The function is increasing for values of x between -2 and 2. E) The function has a relative minimum at x =- 2. -y =f" (x) 21. The second derivative of the function f is given by f"(x) = x(x - a)(x - b) . The graph of f* is shown above. For what values of x does the graph of f have a point of inflection? (A) 0 and a only (B) 0 and m only (C) b and j only (D) 0, a, and b (B) b, j, and k