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Unformatted text preview: x + 2 √ x 2 + 4 x dx (d) Z x 5 √ 1 + x 2 dx 2 5. (10 points) Find the area of the region enclosed by the parabolas y = x 2 and y = 2 xx 2 . 6. (10 points) The region bounded by the given curves is rotated about the speciﬁed axis. Find the volume of the resulting solid by any method. (a) y = 1 x , x = 1, x = 2, y = 0; about the xaxis. (b) y = xx 2 , y = 0; about x = 2. 3 7. (10 points) Find the average value of the function f ( x ) = x 2 on the interval [1,1]. Extra Credit (20 points): A car braked with a constant deceleration of 16 ft/s 2 , producing skid marks measuring 200 ft before coming to a stop. How fast was the car traveling when the brakes were ﬁrst applied? 4...
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This note was uploaded on 04/19/2008 for the course MATH 2144 taught by Professor Pagano during the Spring '08 term at Oklahoma State.
 Spring '08
 PAGANO
 Calculus

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