3.6 - ) y sec 2 ( xy ) + 3 5. dy dx = 3-y sec 2 ( xy ) x...

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jordan (lj5655) – 3.6 – Arledge – (55100) 1 This print-out should have 6 questions. Multiple-choice questions may continue on the next column or page – fnd all choices beFore answering. 001 10.0 points ±ind dy/dx when 2 x 3 - y 3 +9 xy - 1=0 . 1. dy dx = 2 x 2 - 3 y y 2 +3 x 2. dy dx = 2 x 2 +3 y y 2 - 3 x 3. dy dx = 3 y +2 x 2 y 2 +3 x 4. dy dx = 3 y - 2 x 2 y 2 - 3 x 5. dy dx = 2 x 2 - 3 y y 2 - 3 x 002 10.0 points ±ind dy/dx when y + x =6 xy . 1. dy dx = 3 ± y x +1 1 - 3 ± x y 2. dy dx = ± y x +3 6+ ± x y 3. dy dx = 3 ± y x - 1 1 - 3 ± x y 4. dy dx = ± y x +3 6 - ± x y 5. dy dx = 3 ± y x - 1 1+3 ± x y 6. dy dx = ± y x - 3 6+ ± x y 003 10.0 points IF y = y ( x )isdefnedimplicitlyby 3 y 2 - xy - 12 = 0 , fnd the value oF dy/dx at (16 , 6). 1. dy dx ² ² ² (16 , 6) = - 7 20 2. dy dx ² ² ² (16 , 6) = 7 20 3. dy dx ² ² ² (16 , 6) = 2 7 4. dy dx ² ² ² (16 , 6) = - 3 10 5. dy dx ² ² ² (16 , 6) = 3 10 004 10.0 points ±ind dy dx when tan( xy )=3 x - y. 1. dy dx = 1 - x sec 2 ( xy ) y sec 2 ( xy ) - 3 2. dy dx = 3 - y sec 2 ( xy ) x sec 2 ( xy )+1 3. dy dx = 3+ y sec 2 ( xy ) x sec 2 ( xy )+1 4. dy dx = 1 - x sec 2 ( xy

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Unformatted text preview: ) y sec 2 ( xy ) + 3 5. dy dx = 3-y sec 2 ( xy ) x sec 2 ( xy )-1 6. dy dx = 1 + x sec 2 ( xy ) y sec 2 ( xy )-3 jordan (lj5655) – 3.6 – Arledge – (55100) 2 005 10.0 points Determine dy/dx when 5 cos x sin y = 2 . 1. dy dx = tan x tan y 2. dy dx = tan x 3. dy dx = cot x cot y 4. dy dx = tan xy 5. dy dx = cot x tan y 006 10.0 points Find the equation of the tangent line to the graph of y 2-xy-20 = 0 , at the point P = (1 , 5). 1. 8 y + 5 x = 35 2. 8 y = 5 x + 35 3. 9 y + 5 x = 40 4. y = 5 x 5. 9 y = 5 x + 40...
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This note was uploaded on 12/05/2010 for the course M 408N taught by Professor Gualdini during the Spring '10 term at University of Texas.

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3.6 - ) y sec 2 ( xy ) + 3 5. dy dx = 3-y sec 2 ( xy ) x...

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