ANSWER ALL THESE QUESTIONS 1 THROUGH 8 ENTIRELY. REMEMBER, (YOU ONLY HAVE TO SELECT THE RIGHT ANSWER FOR EACH QUESTION) BUT FOR QUESTIONS 3, 5, 6 AND 8, YOU ARE REQUIRED TO SHOW YOUR WORK AND ALSO WRITE IT ON A PIECE OF PAPER WITH A CLEAN WRITTING.

PLEASE MAKE SURE ALL YOUR ANSWERS ARE 1000% CORRECT. I HONESTLY ONLY CARE ABOUT THE ANSWERS BEING CORRECT THAN THE ACTUAL WORK SO AGAIN, PLEASE MAKE SURE THAT YOUR ANSWER ARE 1000% RIGHT FOR ALL QUESTIONS!!!

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Suppose function y = f(13) has relative minimum at (2, 4) and relative maximum at (2, 4). Which of the following could be the graph of f? 3 Get Help \fAnalyze and sketch a graph of the function f($) : 2E3 + 3332. a. Find and label any intercepts b. Find where the function increases, where decreases. Find and label all the relative extrema. c. Find where the function concave up, where concave down. Find and label points of inflection d. Sketch the graph of the function. Question 4 (1 point) Find two positive numbers such that the sum of the first and twice the second is 56 and whose product is a maximum. 0 28 and 28 O 28 and 14 O 34 and 11 O 24 and 16 A farmer plans to fence a rectangular pasture adjacent to a river (see the figure below). The pasture must contain 320,000 square meters in order to provide enough grass for the herd. No fencing is needed along the river. What dimensions will require the least amount of fencing? Show all your work. Sketch a graph of a differentiable function f that satisfies the following conditions and has x=1 as its only critical number. f' (x) 0 for x > 1 lim f (x) = 3 lim f (x) = 3 3-+00