REVIEW 3_pdf

# REVIEW 3_pdf - rabbani(tar547 Review Exam 3 Fouli(58395...

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rabbani (tar547) – Review Exam 3 – Fouli – (58395) 1 This print-out should have 33 questions. Multiple-choice questions may continue on the next column or page – fnd all choices be±ore answering. 001 10.0 points A rectangle is inscribed between the y -axis and the parabola y 2 = 75 - x as shown in Determine the maximum possible area, A max , o± the rectangle. 1. A max = 504 sq. units 2. A max = 500 sq. units 3. A max = 501 sq. units 4. A max = 502 sq. units 5. A max = 503 sq. units 002 10.0 points Circuit City has been selling 70 television sets a week at \$400 each. A market survey indicates that ±or each \$20 rebate o²ered to a buyer, the number o± sets sold will increase by 5 per week. How large a rebate should Circuit City o²er a buyer in order to maximize its revenue? 1. rebate = \$60 2. rebate = \$70 3. rebate = \$65 4. none o± these 5. rebate = \$75 6. rebate = \$55 003 10.0 points Use Newton’s method to estimate the solu- tion to e 2 x + x = 4 5 starting with the initial guess x 0 = 0 and applying one iteration. 1. estimate = 1 5 2. estimate = 3 10 3. estimate = 1 2 4. estimate = 1 10 5. estimate = 2 5 004 10.0 points Find the value o± f (0) when f ′′ ( t ) = 2(3 t + 4) and f (1) = 1 , f (1) = 6 . 1. f (0) = 12 2. f (0) = 11 3. f (0) = 13 4. f (0) = 15

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2 5. f (0) = 14 005 10.0 points Which of the following functions will fail to have an inverse? 1. 2 4 - 2 - 4 2 4 - 2 - 4 2. 2 4 - 2 - 4 2 4 - 2 - 4 3. 2 4 - 2 - 4 2 4 - 2 - 4 4. 2 4 - 2 - 4 2 4 - 2 - 4 5. 2 4 - 2 - 4 2 4 - 2 - 4 006 10.0 points Find the inverse of f ( x ) = 1 + 2 x 3 - 5 x . 1. f 1 ( x ) = 3 x - 1 5 x + 2 2. f 1 ( x ) = 3 x + 1 2 x + 5 3. f 1 ( x ) = 2 x - 1 5 x + 3 4. f 1 ( x ) = 3 x - 1 2 x + 5 5. f 1 ( x ) = 3 x + 1 5 x + 2 007 10.0 points When g is the inverse of f ( x ) = x 3 + 4 x - 3 , ±nd the value of g (13). ( Hint
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REVIEW 3_pdf - rabbani(tar547 Review Exam 3 Fouli(58395...

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