Part II: Calculators Allowed Spring 2019 9. Find g(r) given that g'(x) = 8x3 + 5 and g(1) = -4. (a) g(x) = 214 + 5x - 4 (b) g(2) = 224+5x-17 (c) g(x) = 824 +51-16 (d) g(x) = 2412 -28 (e) 9(x) = 214 +5x -11 10. Suppose that f(x) is continuous at x = 0. Then which of the following is NOT necessarily true? (a) f'(0) exists. (b) f(0) is defined. (c) lim f(x) exists. (d) lim f(x) = f(0). (e) lim f(x) = lim f(x). 11. For a function f(x) defined on (-0o, co), f'(-2) = f'(4) = 0, f' (x) > 0 on (-0o, -2) U ( -2, 4), and f'(x) <. on it must be that f has a: local minimum at x="-2" maximum inflection point r="4" z="4" determine the values of a and b they exist using graph below. lim does not>