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Show all steps please 1. Find the average value of f(x) = _ on [1,3] 2. Find the average value of f(x) =2cosx on o,

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1. Find the average value of f(x) = _ on [1,3] 2. Find the average value of f(x) =2cosx on o, 3. Find b so that the average value of f(x) = -3x2 +6x + 2on [0, b]is 3. 4. Find c so that the average value of f(x) = _ on [1, 3] is f(c). 5. A car with initial velocity of v(0) =20 ft/sec accelerates at a rate of a(t) =2.5 ft/sec2. Find a formula for the car's velocity v(t) after + seconds. 6. Given [f(x) dx =7, evaluate ] (2f(x)-5f(-x))dx for f(x) an even function and for f(x) an odd function. 7 . Given [ f ( x)dx = 2, ] f (x)dx = 3 and ff (x)dx = 3 find ] f (x)dx. -2 y = g(x) Use the graph above and definite integral properties to evaluate the integral (area) 8. Ig(x) dx 9. [g(x) dx 10. g(x) dx 11. g(x) dx 6 12. [g(x) dx . [-48(x) dx 0 0 14. g(x) dx 15 . [ (38(x) +5) dx 6 0

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