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Which of the following is true on a given f(x)? a. b. If (1) > 0, then f is increasing in [0, 2] If f is increasing in [0,2], then f (1) >0, If is increasing in [0, 1] and f'is decreasing in [1, 2] then f has inflection point at x = 1 If f is increasing on [0, 2] then f(0) > f(1) > f(2) . none of the above d 100 What is dx 100 (xsinx )?Given lim f(x) = 2, lim g(x) = -3, lim h(x) = 0. x-+a x-+a x -+a Which of the following is not true? a. lim [3f(x) - 28(x) + 4h(x)] = 12 x-+a b. lim [f (x)8(x))12 = 36 x-a c. lim h(x)2 - 8(x)2 do not exist in R x-+a d. lim vg(x) do not exist in R x-+a e. none of the aboveWhat is lim 2x - Vx2 + 2x ? X-+DOThe boundary of a field is a right triangle with a straight stream along its hypotenuse and with fences along its other two sides. What are the dimensions of the field with maximum area that can be enclosed using 100 ft of fence