M408C - Quiz 8 - . eight h . If 0 x 1, what is the volume?...

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Quiz 7 Practice 1) A volume sits above the ellipse x 2 4 + y 2 9 = 1 in the xy -plane. Each cross section is a square with base touching the extreme ends of the ellipse. What is the volume? 2) A volume sits above the circle x 2 + y 2 = 4 in the xy -plane. Each cross section is a half-circle, with diameter touching the extreme ends of the ellipse. What is the volume? 3) A volume sits above the parabola x = y 2 in the xy -plane. Each cross section is a rectangle with base touching the extreme ends of the ellipse anh
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Unformatted text preview: . eight h . If 0 x 1, what is the volume? 4) Repeat the above for the parabola x = 1-y 2 5) A volume sits above the triangle n the xy-plane with sides y = x ; y =-2 x for 0 x 1i. Each cross section is a square with base touching the extreme ends of the triangle.What is the volume? 6) Repeat the above with cross sections half-circles, with diameter touching the extreme ends of the triangle....
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