Math 252 Week 5 Activity - Winter 2023 Page 5 of (5) In the following problem,...

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Math 252 Week 5 Activity - Winter 2023 Page 5 of (5) In the following problem, identify the roots of the integrand to remove absolute values, then evaluate using the Fundamental Theorem of Calculus, Part 2. - 2t - - 3|dt -2 (6) Use the graph of f(t) given below to answer the following questions about the area accumulation function F(x) = ("* (t)dt. (2.236, 0) (5.688,0) 6 (a) Over which intervals is F(x) increasing? Over which intervals is F(x) decreasing? (b) At what, if any, x-values does F(x) have a local maximum? At what, if any, x-values does F(x) have a local minimum? (c) What is F'(1)? What is F'(3)? Math 252 Week 5 Activity - Winter 2023 Page 5 of (5) In the following problem, identify the roots of the integrand to remove absolute values, then evaluate using the Fundamental Theorem of Calculus, Part 2. - 2t - - 3|dt -2 (6) Use the graph of f(t) given below to answer the following questions about the area accumulation function F(x) = ("* (t)dt. (2.236, 0) (5.688,0) 6 (a) Over which intervals is F(x) increasing? Over which intervals is F(x) decreasing? (b) At what, if any, x-values does F(x) have a local maximum? At what, if any, x-values does F(x) have a local minimum? (c) What is F'(1)? What is F'(3)?