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Please give me the answer, I do it many times but I still cannot get it so please help me. 1. Let f(x) =

atan((6x^(2)-1)^(1/2)). Find f'(x). 2.Evaluate the integral 3.Find the indicated integrals 4.The velocity function is v(t) = - t^2 + 3 t - 2 for a particle moving along a line. Find the displacement and the distance traveled by the particle during the time interval [-2,5]. displacement = distance traveled = 5. (a) Find the average value of the function displaystyle f(x)=(2x)/(1+x^2)^2} on the interval [0, 2]. fave= (b) Use a calculator, computer, or the graph of f to find two values of c such that fave=f(c). List these values in increasing order. Make sure your answers are correct to three decimal places. 6.Suppose that Calculate each of the following. A. B. C. 7.Evaluate the indefinite integral Note: Any arbitrary constants used must be an upper-case "C". 8.Evaluate the following definite integrals using the Fundamental Theorem of Calculus. A. B. C. 9.Evaluate the indefinite integral. I'm sorry, there is lots of the questions. please help me to solve the questions. Thank you very much.

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1. Let f(x) = √ 6 x2−1
( ¿)
tan −1 ¿ . Find f'(x). Solution
√ 6 x2 −1 tan(y) = (¿)
y=tan−1 ¿ Let ' sec ( y ) y = 6x
√6 x 2−1 2 2 tan y +1=sec y y'= 6x
√6 x −1∗√6 x...

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