MA_125_Test3

MA_125_Test3 - possible. (1) Find y if y = x 3 sin-1 ( x 2...

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Name: Calculus I; Fall 2007, Exam III Part I Part I consists of 6 questions, each worth 7 points. Clearly show your work for each of the problems listed. Find y 0 if: (1) y = x tan - 1 ( x ) (2) y = x ln( x ) (3) y = x 2 e x 3 1
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(4) y = ln(sin( x )) (5) Evaluate the limit lim x 5 cos( x ) x 2 + 1 (6) Evaluate the limit lim x →∞ e x + x e 2 x
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Part II Part II consists of 5 problems each worth 12 points. You must show the relevant steps (as we did in class) and justify your answer to earn credit. Simplify your answer when
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Unformatted text preview: possible. (1) Find y if y = x 3 sin-1 ( x 2 ) (2) Find y if y = x sin( x ) . (3) Find y if y = (sin( x )) 3 ( x ) 5 (7 x +8) 9 (4) Simplify y = cos(tan-1 ( x )), then nd y . (5) Use a linear approximation of the function y = f ( x ) = x at an appropriate point x = a to estimate the value of 101....
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MA_125_Test3 - possible. (1) Find y if y = x 3 sin-1 ( x 2...

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