MATH 141 Quiz 3.docx - Name Date QUIZ 3 Problems Please...

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Name ____________ Date___4/5/2018______ QUIZ # 3 Problems Please, show work. An answer, even if “correct” but lacking work, will not receive full credit. Each question 10 points. 1. Integrate 1 10 1 10 x Solution: 6 Work: 2. Evaluate and state if the integral converges or diverges. e 2 x ln x 2 dx Solution: Diverges Work:
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3. Show that the function f ( x ) = e x 3 + 2 x + 1 is one-to-one. Graphing does not count as proof, Use the derivative of the function. Solution: f ’(x) = e^x3+2x+1(3x^2+2) Work: 4. Integrate e x sin ( e x ) dx Solution: -cos(e^x)+c Work: 5. Integrate 3 x 2 + 4 x + 29 Solution: (3/5)tan^-1(x+2/5)+c Work:
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6. Calculate the derivative: f ( x ) = tan ( x 2 + 1 ) × arcsin ( x ) Solution: F ‘ (x) = ((2xarcsin(x)/(x^2+1)) + (tan(x^2+1)/(sqrt(1-x^2)))
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