6. Consider the solid whose base is bounded by the curve y = x² and y = 2 – x², and whose cross sections through the solid perpendicular to the x-axis are squares. (a) Make a sketch of the region. -2 -1 2. -1 -2 (c) Set up the integral for the volume of this solid.

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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can you help me please with steps to solve this a and c

6. Consider the solid whose base is bounded by the curve y = x² and y = 2 – x², and
whose cross sections through the solid perpendicular to the x-axis are squares.
(a) Make a sketch of the region.
-2
-1
2.
-1
-2
(c) Set up the integral for the volume of this solid.
2.
Transcribed Image Text:6. Consider the solid whose base is bounded by the curve y = x² and y = 2 – x², and whose cross sections through the solid perpendicular to the x-axis are squares. (a) Make a sketch of the region. -2 -1 2. -1 -2 (c) Set up the integral for the volume of this solid. 2.
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