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atan((6x^(2)-1)^(1/2)). Find f'(x). 2.Evaluate the integral https://webwork.math.ust.hk/webwork2_files/tmp/equations/c8/d564d518b151d4a33f0bead03b169b1.png 3.Find the indicated integrals https://webwork.math.ust.hk/webwork2_files/tmp/equations/5b/bec03e2cb461b57c9adec4931096561.png 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 https://webwork.math.ust.hk/webwork2_files/tmp/equations/0b/1d68a982ca6ded2ac14c8c481495801.png Calculate each of the following. A. https://webwork.math.ust.hk/webwork2_files/tmp/equations/54/abb5c44d7f85a8cd8c4d3170521e8b1.png B. https://webwork.math.ust.hk/webwork2_files/tmp/equations/1e/4ecf61355846d19dadf4436d24ec5b1.png C. https://webwork.math.ust.hk/webwork2_files/tmp/equations/1c/5298fba5b3ef37a2032d98c160dfa81.png 7.Evaluate the indefinite integral https://webwork.math.ust.hk/webwork2_files/tmp/equations/3f/1bc57bd8f96f50bf84441f3b0453351.png Note: Any arbitrary constants used must be an upper-case "C". 8.Evaluate the following definite integrals using the Fundamental Theorem of Calculus. A. https://webwork.math.ust.hk/webwork2_files/tmp/equations/56/76a77df8ab778f61955fcfb6d1b4901.png B. https://webwork.math.ust.hk/webwork2_files/tmp/equations/53/914c6a0dd143c59bc0654cc5ffe1f31.png C. https://webwork.math.ust.hk/webwork2_files/tmp/equations/6d/543af5a99d4bf373f08e905a84561d1.png 9.Evaluate the indefinite integral. https://webwork.math.ust.hk/webwork2_files/tmp/equations/6f/6be103789ef315129642ec0b6e7da31.png I'm sorry, there is lots of the questions. please help me to solve the questions. Thank you very much.

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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