Quest HW 6-solutions - syed (sms3768) Quest HW 6 seckin...

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Unformatted text preview: syed (sms3768) Quest HW 6 seckin (56425) 1 This print-out should have 10 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 10.0 points Find y when xy + 3 x + 4 x 2 = 2 . 1. y =- ( y + 3 + 8 x ) 2. y = 3 + 4 x- y x 3. y = y + 3 + 8 x x 4. y = y + 3 + 4 x x 5. y =- y + 3 + 8 x x correct 6. y =- y + 3 + 4 x x Explanation: Differentiating implicitly with respect to x we see that d dx ( xy + 3 x + 4 x 2 ) = d dx (2) . Thus ( xy + y ) + 3 + 8 x = 0 , and so xy =- y- 3- 8 x . Consequently, y =- y + 3 + 8 x x . 002 10.0 points Find dy dx when 1 x + 3 y = 6 . 1. dy dx =- 1 3 parenleftBig y x parenrightBig 3 / 2 correct 2. dy dx = 1 3 parenleftBig y x parenrightBig 3 / 2 3. dy dx = 3 parenleftBig x y parenrightBig 3 / 2 4. dy dx = 3( xy ) 1 / 2 5. dy dx =- 3 parenleftBig x y parenrightBig 3 / 2 6. dy dx = 1 3 ( xy ) 1 / 2 Explanation: Differentiating implicitly with respect to x , we see that- 1 2 parenleftBig 1 x x + 3 y y dy dx parenrightBig = 0 . Consequently, dy dx =- 1 3 parenleftBig y x parenrightBig 3 / 2 . 003 10.0 points Find dy dx when 3 x + 2 y = 5 ....
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Quest HW 6-solutions - syed (sms3768) Quest HW 6 seckin...

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