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Unformatted text preview: π ( r 2x 2 ). What is the average value of the areas of these cross sections with respect to the distance x from the center of the sphere? 6. (4 points) A radar gun was used to record the speed of a runner during the ﬁrst 5 seconds of a race; the data is recorded in the table below. Estimate the distance the runner covered during those 5 seconds using Simpson’s Rule. t (sec) 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 v (m/sec) 4.7 7.3 8.9 9.7 10.2 10.5 10.7 10.8 10.8 10.8 7. (4 points) Find the solution to the following initial value problem. xy + y = y 2 ; y (1) =1 . 8. (4 points) Express (1 + i ) 8 in standard ( a + bi ) form. 9. (4 points) Find the area of the region that lies inside both of the polar curves r = sin θ and r = 3 cos θ . 10. (4 points) Find the coordinates of the vertices and foci of the ellipse with equation 4 x 2 + 25 y 2 = 100....
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This note was uploaded on 04/29/2010 for the course MATH MATH 20B taught by Professor Takeda during the Spring '07 term at UCSD.
 Spring '07
 Takeda
 Math

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