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Section 3.6-problems-1 - troyer(lmt836 Section 3.6...

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troyer (lmt836) – Section 3.6 – 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 10.0points Find y when xy + 3 x + 4 x 2 = 1 . 1. y = - y + 3 + 4 x x 2. y = - ( y + 3 + 8 x ) 3. y = y + 3 + 8 x x 4. y = 3 + 4 x - y x 5. y = y + 3 + 4 x x 6. y = - y + 3 + 8 x x 002 10.0points If y = y ( x ) is defined implicitly by y 2 + xy + 3 = 0 , find the value of dy/dx at the point (4 , - 1). 1. dy dx vextendsingle vextendsingle vextendsingle (4 , 1) = - 1 2 2. dy dx vextendsingle vextendsingle vextendsingle (4 , 1) = - 3 2 3. dy dx vextendsingle vextendsingle vextendsingle (4 , 1) = 1 2 4. dy dx vextendsingle vextendsingle vextendsingle (4 , 1) = 3 2 5. dy dx vextendsingle vextendsingle vextendsingle (4 , 1) = - 1 6. dy dx vextendsingle vextendsingle vextendsingle (4 , 1) = 1 003 10.0points Find dy dx when tan( xy ) = 2 x - y. 1. dy dx = 2 - y sec 2 ( xy ) x sec 2 ( xy ) - 1 2. dy dx = 1 - x sec 2 ( xy ) y sec 2 ( xy ) + 2 3. dy dx = 2 - y sec 2 ( xy ) x sec 2 ( xy ) + 1 4. dy dx = 1 - x sec 2 ( xy ) y sec 2 ( xy ) - 2 5. dy dx = 2 + y sec 2 ( xy ) x sec 2 ( xy ) + 1 6. dy dx =
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