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I need help answering these questions. Please be organized and specific when answering, using the letters (a, b, c, and d) so I don't get

I need help answering these questions. Please be organized and specific when answering, using the letters (a, b, c, and d) so I don't get confused. Within the pdf there are two questions, can you please help me with both. Thank you so much.

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AB\t2020\tQuestion\t1\t(25\tminutes) x h(x) h(x) -1 3 5 0 -4 -12 1 8 -5 -2 The\tgraph\tabove\tshows\tthe\tderivative\tof\ta\tdifferentiable\tfunction\tf.\tSelected\tvalues\tof another\tfunction, h(x) ,\tand\tits\tderivative h(x) are\talso\tgiven\tin\tthe\ttable\tabove.\tThe equation h(x) = f (x) is\ttrue\tfor\tone\tand\tonly\tone\tvalue\tin (1,5) .\tLet\tthe\ttwicex differentiable\tfunction\tg\tbe\tdefined\tas g(x) = h(x) + f (t)dt . 1 (a) Find g(3) , g (3) ,\tand g (5) . 2g(x) (b) Evaluate lim1 2 x 2 4x 1 (c) Identify\tthe\tx-value\tof\tany\tabsolute\textrema\tof\tg\ton [1,5] .\tLabel\tany\textrema\tas absolute\tmaxima\tor\tabsolute\tminima.\tShow\tthe\twork\tthat\tleads\tto\tyour\tconclusion. (d) Evaluate g (x) cos g (x) + dx 4 5 3 AB\t2020\tQuestion\t2\t(15\tminutes) t\t(hours) p(t) 1 0.5 3 2.5 4 3 8 5 11 8 12 4 s 8 ds = dt t 1 4e 4 0t 8 8

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