Consider the solid region S that lies under the surface z= 2x? Vy and above the rectangle R= [0, 2) (1, 4). (a) Find a formula for the area of a cross-section of S in the plane perpendicular to the x-axis at x for 0 sxs 2. (Use the value k for x.) |dy Use the formula to compute the areas of the cross-sections illustrated. k-1 k-2 (b) Find a formula for the area of a cross-section of S in the plane perpendicular to the y-axis at y for 1 sys 4. (Use the value k for y.)

Consider the solid region S that lies under the surface z= 2x? Vy and above the rectangle R= [0, 2) (1, 4). (a) Find a formula for the area of a cross-section of S in the plane perpendicular to the x-axis at x for 0 sxs 2. (Use the value k for x.) |dy Use the formula to compute the areas of the cross-sections illustrated. k-1 k-2 (b) Find a formula for the area of a cross-section of S in the plane perpendicular to the y-axis at y for 1 sys 4. (Use the value k for y.)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.4: Complex And Rational Zeros Of Polynomials

Problem 39E

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