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Question 14 (14 points) Consider the two functions f(x) = x + 5 g(x) = 5x x^2 . (a) (2 points) Find the intersection points

Question 14 (14 points) Consider the two functions f(x) = x + 5 g(x) = 5x x^2

. (a) (2 points) Find the intersection points of the graphs of the two functions.

(b) (6 points) On the next page, graph these functions, and shade the region between the graphs of f and g over the interval [0, 2].

(c) (6 points) Find the area of the shaded region.

Please show work thank you

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