√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)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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please help this two questions ?
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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