Concept explainers
Square region Consider the region
R = {(x, y): |x| + |y| ≤ 1} shown in the figure.
a. Use a double
b. Find the volume of the square column whose base is R and whose upper surface is z = 12 – 3x – 4y.
c. Find the volume of the solid above R and beneath the cylinder x2 + z2 = 1.
d. Find the volume of the pyramid whose base is R and whose vertex is on the z-axis at (0, 0, 6).
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Calculus: Early Transcendentals and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition) (Briggs, Cochran, Gillett & Schulz, Calculus Series)
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