67_ Computer graded assignment (HW Section 14.3_14.5)-problems.pdf

# 67_ Computer graded assignment (HW Section 14.3_14.5)-problems.pdf

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roque (cmr4657) – 67: Computer graded assignment (HW Section 14.3/14.5) – hager – (17452) 1 This print-out should have 19 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0points From the contour map of f shown below decide whether f x , f y are positive, negative, or zero at P . 0 0 2 2 4 4 6 6 P x y 1. f x > 0 , f y > 0 2. f x > 0 , f y < 0 3. f x > 0 , f y = 0 4. f x < 0 , f y > 0 5. f x < 0 , f y < 0 6. f x < 0 , f y = 0 002 10.0points Determine whether the partial derivatives f x , f y of f are positive, negative or zero at the point P on the graph of f shown in P x z y 1. f x < 0 , f y = 0 2. f x = 0 , f y < 0 3. f x = 0 , f y = 0 4. f x > 0 , f y > 0 5. f x > 0 , f y = 0 6. f x < 0 , f y < 0 7. f x = 0 , f y > 0 8. f x < 0 , f y > 0 003 10.0points Determine f x when f ( x, y ) = x sin( y - x ) + cos( y - x ) . 1. f x = x sin( y - x ) 2. f x = x cos( y - x ) - sin( y - x ) 3. f x = 2 sin( y - x ) - x cos( y - x ) 4. f x = - x cos( y - x ) 5. f x = - 2 sin( y - x ) - x cos( y - x ) 6. f x = x cos( y - x )

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roque (cmr4657) – 67: Computer graded assignment (HW Section 14.3/14.5) – hager – (17452) 2 7. f x = - cos( y - x ) - x sin( y - x ) 8. f x = - x sin( y - x ) 004 10.0points Find the slope in the x -direction at the point P (0 , 2 , f (0 , 2)) on the graph of f when f ( x, y ) = 2( y 2 - x 2 ) ln( x + y ) . 1. slope = 2 2. slope = 10 3. slope = 4 4. slope = 8 5. slope = 6 005 10.0points Determine the value of f x at (1 , - 1) when f ( x, y ) = 6 x 3 - 2 xy 2 - 3 x 2 y + 4 x. 006 10.0points Determine h = h ( x, y ) so that ∂f ∂x = h ( x, y ) (4 x 2 + 5 y 2 ) 2 when f ( x, y ) = 2 x 2 y 4 x 2 + 5 y 2 .
• Fall '07
• Derivative, Sin, Trigraph, ∂z, Roque

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