What is the value of fracddx bigf 1x big when x2

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What is the value of \( \frac{d}{dx} \Big[f^{-1}(x) \Big] \) when \( x=2 \), given that \( f(x)=\frac{2-x^2}{1+x} \) and \( f^{-1}(2)=0 \) ? Select one: a. −1/2 b. −9/10 c. −11/20 d. −2 The correct answer is: −1/2
Evaluate \( \displaystyle\int \frac{x^2+4}{x-1}dx \). Select one:
5/16/20, 1 : 41 PM Graded Exam 4 Question 14 Evaluate \( \displaystyle\int \frac{3x+7}{x^2+5x+6}dx \). Select one: Correct 5.00 points out of 5.00
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Question 15 Incorrect 0.00 points out of 5.00 Solve the following differential equation for the general solution: \( \frac{dy}{dx}= \frac{4x}{3y+1} \) Select one:
Question 16 What is the largest interval containing x = 2 π on which sin( x) is one-to-one? Select one: Correct 5.00 points out of 5.00 a. [ π , 3 π ] b. [ π /2, 5 π /2] c. [3 π /2, 7 π /2] d. [3 π /2, 5 π /2] The correct answer is: [3 π /2, 5 π /2]
Question 17 Select one: Correct 5.00 points out of 5.00 Evaluate the integral \( \displaystyle\int 2 ln(x) xdx. \) Select one:
5/16/20, 1 : 41 PM Graded Exam 4 Page 6 of 8

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