Question: Please see the pictures below. There are three problems. I need these asap please. R is the region bounded above by the function f(x) =

Please see the pictures below. There are three problems. I need these asap please.

Please see the pictures below. There are three problems. I need theseasap please. R is the region bounded above by the function f(x)= -" + 5 and below by the function g(x) = x

R is the region bounded above by the function f(x) = -" + 5 and below by the function g(x) = x - 2 over the interval [a, b] where a = -3 and b = 0. Represent the area A of R by writing an integral with respect to x. You do not need to simplify. Provide your answer below: dxQuestion Find the area A of the region that is bounded between the curve f(x) = In (x) + 1 and the line g(x) = -4x + 6 over the interval [ 1, 7]. Enter an exact answer. Provide your answer below: A = units2Question The tortoise versus the hare: The speed of the hare is given by the function H(t) = -612 + 20t whereas the speed of the tortoise is T(1) = 2t, where t is time measured in hours and the speed is measured in miles per hour. Find the distance between the tortoise and the hare, or the area between the curves, from the first time they are traveling at the same speed until one hour after. Enter answer using an exact value. Provide your answer below: miles

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