Math 152 Lab jan 25

Math 152 Lab jan 25 - whose value is the area of that...

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Math 152 Lab – January 25, 2006 Lab 3 Show all work for the following problems. 1. Graph the region and determine the area bounded by 2 3 10 y x x = - - and the x -axis. 2. Find the area between the curves 2 x y = and 2 2 x x y - = . 3. Find the area bounded by 3 y y x - = and the y-axis. 4. Find the volume of the solid formed by revolving the region bounded by x y = , 9 = x , and the x- axis about the x-axis. Use disks/washers. 5. The region bounded by 2 1 x y + = , the x-axis, the line 1 = x , and the line 2 = x is revolved about the y-axis to form a solid. Use shells to find the volume. 6. Write the integral whose value is the length of the curve 3 x y = from 0 = x to 4 = x . 7. The curve 3 x y = from 0 = x to 4 = x is rotated about the x-axis to form a surface. Write the integral
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Unformatted text preview: whose value is the area of that surface. 8. Find the length of the curve given by 3 t y = and 2 t x = from = t to 1 = t . 9. The density ( 29 x of a wire at the point x centimeters is given by ( 29 5 x x = grams per centimeter. Find the center of mass of the piece of wire between x = and 4 x = centimeters. 10. Four particles having masses 3, 5, 2, and 4 units are located at ( 29 3, 1-, ( 29 2,4 , ( 29 1,3-, and ( 29 1,1 respectively. Find the center of mass. 11. Integrate 3 2 x x e dx . 12. Integrate 2 sec (ln ) x dx x . 13. Integrate 2 1 4 9 dx x x-+ . 14. Evaluate dx xe x cos sin ....
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