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Homework 7

# Homework 7 - vu(tv2894 Homework 7(Quest miner(55096 This...

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vu (tv2894) – Homework 7 (Quest) – miner – (55096) 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 value of f (4) when f ( x ) = 2 3 x 3 / 2 + 2 x 1 / 2 . Correct answer: 2 . 5. Explanation: Since d dx x r = rx r 1 , we see that f ( x ) = x 1 / 2 + 1 x 1 / 2 . At x = 4, therefore, f (4) = 5 2 . 002 10.0 points Find the x -coordinate of all points on the graph of f ( x ) = x 3 - x 2 - x + 5 at which the tangent line is horizontal. 1. x -coord = - 1 3 2. x -coord = 1 3. x -coords = 1 3 , - 1 4. x -coord = - 1 5. x -coords = - 1 3 , 1 correct 6. x -coord = 1 3 Explanation: The tangent line will be horizontal at P ( x 0 ,f ( x 0 )) when f ( x 0 ) = 0 . Now f ( x ) = 3 x 2 - 2 x - 1 = (3 x + 1)( x - 1) . Consequently, x 0 = - 1 3 , 1 . 003 10.0 points Find an equation for the tangent line to the graph of f at the point P = ( - 1 ,f ( - 1)) when f ( x ) = 4 x + 1 3 x + 1 . 1. 4 y - x = 7 correct 2. y - 4 x = 7 3. y - 4 x = 9 4. y + 4 x = 9 5. 4 y + x = 7 6. 4 y + x = 9 Explanation: Since f ( - 1) = 3 2 , we see that P = ( - 1 , 3 2 ) .

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Homework 7 - vu(tv2894 Homework 7(Quest miner(55096 This...

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