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√1-x² Evaluate x²(x² + y²)² dydx. (evaluating this using rectangular coordinates is nearly hopeless)

√1-x² Evaluate x²(x² + y²)² dydx. (evaluating this using rectangular coordinates is nearly hopeless)

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
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 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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please help this two questions ?
Evaluate ₁¹-x²x²(x² + y²)² dydx. (evaluating this using rectangular coordinates is nearly hopeless) 4. Find the volume of the solid bounded by the plane z = 0 and the paraboloid z = 1-x² - y². √√1-x² (if using rectangular coordinates, V=ff, (1-x² - y²) dA = ²₁ (1-x² - y²) dydx, which is not easy to evaluate)
Transcribed Image Text:Evaluate ₁¹-x²x²(x² + y²)² dydx. (evaluating this using rectangular coordinates is nearly hopeless) 4. Find the volume of the solid bounded by the plane z = 0 and the paraboloid z = 1-x² - y². √√1-x² (if using rectangular coordinates, V=ff, (1-x² - y²) dA = ²₁ (1-x² - y²) dydx, which is not easy to evaluate)
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