1. a. Draw the ellipse x + y/4 1 and label its x and y intecepts. b. View the ellipse as a type I region, write down the integral for its area. c. View the ellipse as a type II region, write down the integral for its area.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 38E: Find the exact volume of the solid that results when the triangular region with vertices at 0, 0, 6,...
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1. a. Draw the ellipse x2 + y/4 1 and label its x and y intecepts.
b. View the ellipse as a type I region, write down the integral for its area.
c. View the ellipse as a type II region, write down the integral for its area.
d. Use trig. substitution to compute one of the above integral in b or c.
Transcribed Image Text:1. a. Draw the ellipse x2 + y/4 1 and label its x and y intecepts. b. View the ellipse as a type I region, write down the integral for its area. c. View the ellipse as a type II region, write down the integral for its area. d. Use trig. substitution to compute one of the above integral in b or c.
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