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Quest Assignment 17-problems

# Quest Assignment 17-problems - saliyev(is4663 Quest...

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saliyev (is4663) – Quest Assignment 17 – rodin – (54520) 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 10.0points Find an equation for the tangent plane to the graph of f ( x, y ) = radicalbig 8 - x 2 - 3 y 2 at the point P (2 , 1 , f (2 , 1)). 1. 2 x - 3 y + z - 2 = 0 2. 3 x - 2 y - z - 8 = 0 3. 3 x - 2 y - z - 2 = 0 4. 2 x + 3 y - z - 6 = 0 5. 3 x + 2 y + z - 6 = 0 6. 2 x + 3 y + z - 8 = 0 002 10.0points Find an equation for the plane passing through the origin that is parallel to the tan- gent plane to the graph of z = f ( x, y ) = 3 x 2 - 2 y 2 - 3 x + y at the point ( - 1 , 1 , f ( - 1 , 1)). 1. z - 9 x - 3 y - 11 = 0 2. z + 9 x + 3 y = 0 3. z - 9 x + 3 y - 17 = 0 4. z + 9 x - 3 y + 7 = 0 5. z - 9 x + 3 y = 0 6. z + 9 x - 3 y = 0 003 10.0points Find the linearization, L ( x, y ), of the func- tion f ( x, y ) = tan 1 ( x + 4 y ) at the point ( - 1 , 0) . 1. L ( x, y ) = x + 2 y - π 4 + 1 2 2. L ( x, y ) = 1 2 x + 2 y - π 4 + 1 2 3. L ( x, y ) = 1 2 x + 2 y + 1 2 4. L ( x, y ) = x + 2 y - π 4 - 1 2 5. L ( x, y ) = x + 2 y + 1 2 004 10.0points Find the linearization, L ( x, y ) , of f ( x, y ) = radicalbig 8 - 2 x 2 + y 2 at the point P (2 , - 1).

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