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(1 point) Water is poured into a vessel in the form of a right circular cone with vertex down at a rate of 8 cm3/mjn.
(1 point) Water is poured into a vessel in the form of a right circular cone with vertex down at a rate of 8 cm3/mjn. The cone height and radius of the cone are 40 cm and 12 cm respectively. Find the rate at which the water level is rising when the water is 23 cm from the vertex. Answer: [:] cm/min Find the rate of rise of the level when the vessel is quarterly filled. Answer: [:] cm/min 5x - 40 (1 point) Let f(x) = Which of the following statements is/are true? x2 - 11x + 24 OA. f(x) is not well defined at x = 3, 8. OB. f(x) has a horizontal asymptote y = 2. O c. f(x) has a horizontal asymptote y = 0. OD. f(x) has a vertical asymptote x = 3. OE. f(x) has a vertical asymptote x = 8.(1 point) Referring to the graph above, which of the following statements is correct: OA. f" (x) changes sign from + to - OB. f"(x) 0 for all x(1 point) x2+3 f0) = a) Find the first and second derivatives. f '(x) = f\"(x) = b) Identify the graph that displays f in blue and f " in red. ? v I l! c) Using the graphs of f and f " , indicate where f is concave up and concave down. Give your answer in the form of an interval. NOTE: When using interval notation in WeBWorK, remember that: You use 'INF' for on and '-INF' for oo Separate multiple intervals with commas "",. Enter DNE if an answer does not exist. f is concave up on E] f is concave down on C]
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