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Section 3.6-problems-3

# Section 3.6-problems-3 - to(aqt73 Section 3.6...

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to (aqt73) – 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 = 5 . 1. y = y + 3 + 8 x x 2. y = y + 3 + 4 x x 3. y = - y + 3 + 8 x x 4. y = - ( y + 3 + 8 x ) 5. y = 3 + 4 x - y x 6. y = - y + 3 + 4 x x 002 10.0points If y = y ( x ) is defined implicitly by y 2 + xy + 4 = 0 , find the value of dy/dx at the point (5 , - 1). 1. dy dx vextendsingle vextendsingle vextendsingle (5 , 1) = - 1 3 2. dy dx vextendsingle vextendsingle vextendsingle (5 , 1) = 1 3 3. dy dx vextendsingle vextendsingle vextendsingle (5 , 1) = - 2 3 4. dy dx vextendsingle vextendsingle vextendsingle (5 , 1) = - 1 5. dy dx vextendsingle vextendsingle vextendsingle (5 , 1) = 1 6. dy dx vextendsingle vextendsingle vextendsingle (5 , 1) = 2 3 003 10.0points Find dy dx when tan( xy ) = 4 x + y. 1. dy dx = 4 + y sec 2 ( xy ) x sec 2 ( xy ) - 1 2. dy dx = 1 - x sec 2 ( xy ) y sec 2 ( xy ) + 4 3. dy dx = 4 - y sec 2 ( xy ) x sec 2 ( xy ) + 1 4. dy dx = 4 - y sec 2 ( xy ) x sec 2 ( xy ) - 1 5. dy dx = 1 - x sec 2 ( xy ) y sec 2 ( xy ) - 4

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