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(37) A rectangle with base on the x-axis has upper vertices on the parabola y = 4 - 4x?. Find the maximum perimeter. (38) Circle

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(37) A rectangle with base on the x-axis has upper vertices on the parabola y = 4 - 4x?. Find the maximum perimeter. (38) Circle the correct answer. The absolute maximum of the function f(x) = 23 - 3r + 1 on [0,3] occurs when r = (a) -1 (b) 0 (c) 1 (d) 3 (e) None of the above (39) Let f(x) = -, r E [1,3]. Find all numbers c that satisfy the conclusion of the Mean Value Theorem. MTH 31 211 (40) Circle the correct answer. For a function g(r), we are given that g'(x) = - and g"(r) = 5 (x + 5)2- The interval(s) where g(r) is simultaneously decreasing AND concave up is/are: (a) (0, 00) (b) (-00, -5) (c) (-5,0) (d) (0o, -5) U(-5,0) (e) None of the above

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