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hw7 - padilla(tp5647 Homework07 Fouli(58320 This print-out...

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padilla (tp5647) – Homework07 – Fouli – (58320) 1 This print-out should have 17 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 + 5 x + 3 x 2 = 4 . 1. y = y + 5 + 3 x x 2. y = y + 5 + 6 x x 3. y = - ( y + 5 + 6 x ) 4. y = - y + 5 + 6 x x 5. y = 5 + 3 x - y x 6. y = - y + 5 + 3 x x 002 10.0 points Find dy dx when 1 x + 3 y = 2 . 1. dy dx = 3 parenleftBig x y parenrightBig 3 / 2 2. dy dx = 1 3 parenleftBig y x parenrightBig 3 / 2 3. dy dx = - 1 3 parenleftBig y x parenrightBig 3 / 2 4. dy dx = - 3 parenleftBig x y parenrightBig 3 / 2 5. dy dx = 3( xy ) 1 / 2 6. dy dx = 1 3 ( xy ) 1 / 2 003 10.0 points Find dy dx when tan( x - y ) = x . 1. dy dx = y 2 1 + x 2 2. dy dx = - x 2 1 + y 2 3. dy dx = - y 2 1 + x 2 4. dy dx = x 2 1 + y 2 5. dy dx = x 2 1 + x 2 6. dy dx = - x 2 1 + x 2 004 10.0 points Find the equation of the tangent line to the graph of y 2 - xy - 6 = 0 , at the point P = (1 , 3). 1. 5 y + 3 x = 12 2. 5 y = 3 x + 12 3. 4 y = 3 x + 9 4. y = 3 x 5. 4 y + 3 x = 9 005 10.0 points
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padilla (tp5647) – Homework07 – Fouli – (58320) 2 Find the slope of the tangent line to the graph of x 3 - 2 y 3 + xy = 0 at the point P (1 , 1). 1. slope = 3 2 2. slope = - 5 4 3. slope = 5 4 4. slope = 4 5 5. slope = - 4 5 6. slope = - 2 3 006 10.0 points The points P and Q on the graph of y 2 - xy + 6 = 0 have the same x -coordinate x = 5. Find the point of intersection of the tangents to the graph at P and Q .
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