Section 3.4-solutions-1 - troyer (lmt836) Section 3.4...

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Unformatted text preview: troyer (lmt836) Section 3.4 isaacson (55826) 1 This print-out should have 6 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 10.0 points Find the derivative of g when g ( x ) = x 3 cos x . 1. g ( x ) = x 2 (3 cos x- x sin x ) correct 2. g ( x ) = x 2 (3 cos x + x sin x ) 3. g ( x ) = x 2 (3 sin x + x cos x ) 4. g ( x ) = x 3 (2 sin x- cos x ) 5. g ( x ) = x 2 (3 sin x- x cos x ) 6. g ( x ) = x 3 (2 cos x- sin x ) Explanation: By the Product rule, g ( x ) = x 3 (- sin x ) + (cos x ) 3 x 2 . Consequently, g ( x ) = x 2 (3 cos x- x sin x ) . 002 10.0 points Find the x-intercept of the tangent line to the graph of f ( x ) = 4 x + 3 cos x at the point (0 , f (0)). 1. x-intercept = 4 3 2. x-intercept = 3 4 3. x-intercept =- 4 7 4. x-intercept = 3 7 5. x-intercept =- 4 3 6. x-intercept =- 3 4 correct Explanation: When f ( x ) = 4 x + 3 cos x , then f ( x ) = 4- 3 sin x ....
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This note was uploaded on 06/14/2011 for the course MATH 305G taught by Professor Cathy during the Spring '11 term at University of Texas at Austin.

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Section 3.4-solutions-1 - troyer (lmt836) Section 3.4...

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