8th - MATH-119 WEEK 8 RECITATION QUESTIONS 1 Find the area...

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MATH-119 WEEK 8 RECITATION QUESTIONS 1. Find the area of the shaded region 2. Sketch the region enclosed by the given curves.Decide whether to integrate with recpect to x or y.Draw a typical approximating rectangle and label its height and width.Then find the area of the region. a ) x = 2 y 2 , x + y = 1 b ) x = 1 - y 2 , x = y 2 - 1 3. Use calculus to find the area of the triangle with the given vertices. (0 , 0) , (2 , 1) , ( - 1 , 6) 4. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line.Sketch the region,the solid,and a typical disk or washer. a ) y = x 2 , y 2 = x ; about the x -axis b ) y 2 = x , x = 2 y ; about the y -axis c ) y = x , y = x ; about y = 1 5. Refer to the figure and find the volume generated by rotating the given region about the specified line. 1
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a ) R 1 about AB b ) R 2 about OC 6. Find the volume common to two spheres,each with radius r,if the centre of each sphere lies on the surface of the other sphere.
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8th - MATH-119 WEEK 8 RECITATION QUESTIONS 1 Find the area...

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