Exam_2_20C_Solution

Exam_2_20C_Solution - Math 20C. Summer, 2010. Exam 2...

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Unformatted text preview: Math 20C. Summer, 2010. Exam 2 Solution. 1. The radius of the circle is 4 = 2 meters. Since the object is moving counterclockwise, = 1 2 meter 1 T = < 1 , > N = < , 1 > a = s T + ( s ) 2 N < 5 , 8 > = s < 1 , > + 1 2 ( s ) 2 < , 1 > = < s , 1 2 ( s ) 2 > s = 5 1 2 ( s ) 2 = 8 ( s ) 2 = 16 s = 4. The object is traveling 4 meters per second and is slowing down 5 meters per second 2 2. f ( x,y ) = 2 x y + 6 f = c 2 x y + 6 = c y = 2 x + 6 c f = 4 on y = 2 x + 2 f = 6 on y = 2 x f = 8 on y = 2 x 2 f x = x (2 x y +6) = 2 f y = y (2 x y +6) = 1 f = ( 2 , 1 ) Figure A3 4 6 8 x 2 y 1 f Figure A3 3. V = r 2 h V r = 2 rh V h = r 2 V (3 , 2) = (3 2 )(2) = 18 V r (3 , 2) = 2 (3)(2) = 12 V h (3 , 2) = (3 2 ) = 9 Tangent plane:...
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Exam_2_20C_Solution - Math 20C. Summer, 2010. Exam 2...

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