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8. Find Six dx 9. Find [ 2csc (3x) dx 10. Find (6.x3 - 5x ) dx 11. Find (sin(Vx) dx x2 Vx 12. Find
8. Find Six dx 9. Find [ 2csc (3x) dx 10. Find (6.x3 - 5x ) dx 11. Find (sin(Vx) dx x2 Vx 12. Find y = f(x) if f"(x) =4x2 , f'(0)=3 , and f(0)=2 . 13. Use a(t) = -32 feet per second squared as the acceleration due to gravity. A ball is thrown vertically upward from the ground with an initial velocity of 50 feet per second. How high will the ball go? Using the Fundamental Theorem of Calculus, find the area of the regions bounded by 14. y=2 V xx, y=0 15. y=8-x, X=0, x=6, y=0 16. y = 5x - x and the x-axis 17. Given F(x) = ( F _ dt find F' (x) and F' (3 ) . 18. Find S2x3 (2x* -1) dx 19. Find ( sin (*) dx . 20. Find f 2x (5x -3)dx cos(x) EXTRA CREDIT Use the properties of sigma notation and the summation formulas to evaluate the sum (312 -4i+7). i-1 Let s(n) = 3+ 4 2 n Find the limit of s(n) as n -> co. i-1
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