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(b) Consider the thin disk centered on the origin in R? of radius 1. Suppose it is made of a material with mass density function p(x, y) (1+ x²y², = exp in grams per units of area. Show that the mass of the disk does not exceed re grams.

(b) Consider the thin disk centered on the origin in R? of radius 1. Suppose it is made of a material with mass density function p(x, y) (1+ x²y², = exp in grams per units of area. Show that the mass of the disk does not exceed re grams.

Advanced Engineering Mathematics
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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Need help with part (b). Thank you :)

 

4. (a) Let D be the region located in the first quadrant of R? between the two circles of radii 1 and 4 centered on the origin. Evaluate sin((x² + y²)³ )æ dxdy . D (b) Consider the thin disk centered on the origin in R² of radius 1. Suppose it is made of a material with mass density function P(x, y) = exp 1+ a²y² in grams per units of area. Show that the mass of the disk does not exceed ne grams.
Transcribed Image Text:4. (a) Let D be the region located in the first quadrant of R? between the two circles of radii 1 and 4 centered on the origin. Evaluate sin((x² + y²)³ )æ dxdy . D (b) Consider the thin disk centered on the origin in R² of radius 1. Suppose it is made of a material with mass density function P(x, y) = exp 1+ a²y² in grams per units of area. Show that the mass of the disk does not exceed ne grams.
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