For which of the following does lim f(I) exist? Select one: O a. I only O b. II only O c. Ill only O d. I and II only O e. I and Ill only Find the intervals on which the function f (x) = ] is continuous. Select one: o a. (-00, #) U (4. -00) b. (-00, -2) U (-2,2) U (2, 00) O c. (-00, -2) U (-2,0) U (0, 2) U (2, 00) O d. (-00, 0) U (0,00) O e. (-00, 7) U (7,00) If ary' + 2ry = 8 then at the point (1, 2), y' is Select one: O a. O b. O c. -1 O d. = O e. A person 2 meters tall walks directly away from a streetlight that is 8 meters above the ground. If the person is walking at a constant rate and the person's shadow is lengthening at the rate of 4/9 meters per second, at what rate, in meters per second, is the person walking? Select one: O a. 4/27 O b. 4/9 O c. 3/4 O d. 4/3 O e. 16/9Find f'(x) for f (r) = secSx Select one: O a. S'(x) = 8secorcot8x Ob. f(x) = 8secrtant O c. f(x) = -secBrian& O d. S'(x) = 8secortan8x Oe. f(x) = -8sec8xcot8x Which of the following are indeterminate forms? co - co, 00 + 00, 0 . Do, 00 . Do Select one: O a. Do - 00, 0 . 00 O b. co - 00, 00 + 00 O c. Do + 00, 0. 00 O d. co - 90, 90 . 90 O e. Do + 00, 0. 00 What is the derivative of f(x) = 6x-2 + 83 + 1late ? Select one: O a. -12x 1 + 24x2 + 11 + er O b. -12x-1 + 24x3 + er O c. -12x 3 + 24x? + 11 + er O d. -12x 3 + 24x3 + ex Oe. -12x 3 + 8x* + 1late If f (t)= 12 + t, Betweent = 10 and t = 12, what is the increase in fdivided by the increase in ? Select one: O a. 2 O b. 25 O c. 46 O d. 1/23 O e. 23Find f(x) for f (x) = (Inx) Select one: Oa f(x) = martin(luz) Ob. f'(x) = (Inr)?(In(inr)) O c. f(x) = allna)-1 Od. f(x) = (Inr)'(In(Inx) + mix If y = Inx then find Ly Select one: O a. rinr Iny O b. O c. O d. may O e. THAI