Practice4 release

Practice4 release - (a) 0 (b) 1 / 2 (c) 1 (d) 2 5. Show...

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CME 100 Fall 2010 Vector Calculus for Engineers Page 1 of 2 Prof. Eric Darve Practice problems 4 For each question, choose the right answer. 1. Find the distance from the origin to the line x = 1 + t , y = 2 - t , z = - 1 + 2 t (a) 2 (b) 2 / 2 (c) 3 2 / 2 (d) 3 2 2. Find the normal component of the acceleration vector: r ( t ) = (3 t - t 3 , 3 t 2 , 0) (a) 4 (b) 5 (c) 6 (d) 7 3. Find the location of the maximum of f = | x - y | inside the region A shown below. A is a square. x y P Q R S A (a) P (b) Q (c) R (d) S 4. Find the value of the minimum of f = | x - y | inside the region A shown below. A is a circle of radius 1. x y A
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2/2 CME 100, Fall 2010
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Unformatted text preview: (a) 0 (b) 1 / 2 (c) 1 (d) 2 5. Show that the function f ( x , y ) = x 2 + 4 y 2-4 xy + 2 has an innite number of critical points and that they all lie along a line. The equation for the line is: (a) 2 x = y (b) 2 y = x (c)-2 x = y (d)-2 y = x 6. What is R x = e 2 x = 1 R y = e y = 1 ( x / y + y / x ) dydx equal to? (a) e 4 / 2 + e 2 + 3 / 2 (b) e 4 + e 2 / 2-3 / 2 (c) e 4 + e 2 / 2 + 3 / 2 (d) e 4 / 2 + e 2-3 / 2...
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Practice4 release - (a) 0 (b) 1 / 2 (c) 1 (d) 2 5. Show...

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