Answered: Section - 15.2 0) Evaluate the double… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 12T

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TUTORIAL 6: 15.2 AND 15.3
Section - 15.2
(10) Evaluate the double integral. SSYVR-ydA, D= {(x,y)|0< x < 2, 0< y <x}.
%3D
(14) Express D as a region of type I and also as a region of type II. Then evaluate the double
integral in two ways. JJ xy dA, D is enclosed by the curves y =
D
r², y = 3x.
D
(16) Set up iterated integrals for both orders of integration. Then evaluate the double integral
using the easier order and explain why it's easier. f y?ey dA, D is bounded by the lines
D
y = x, y = 4, x = 0.
(22) Evaluate the double integral. y dA, D is the triangular region with vertices (0,0),
D
(1,1), and (4,0).
(29) Find the volume of the given solid bounded by the coordinate planes and the plane
3x+2y+z = 6.
(50) Sketch the region of integration and change the order of integration. an(x, y) dy dx.
Jare
Section 15.3
(16) Use a double integral to find the area of the region enclosed by both of the cardiods
r=1-cos 0 and r=1- cos 0.
(26) Use polar coordinates to find the volume of the solid bounded by the paraboloids
2=6-x-– v- and 2 2x- + 2y-,
(32) Evaluate the iterated integral by conyerting to polar coordinates. rydrdy.

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