2.2 Use the density in (b) and give iterated integrals for the mass of the region R in terms of 2.2.1 Polar coordinates 2.2.2 Cartesian coordinates (A) with R a plate bounded by the lines x = 1, y = x-2 and y = 2.
2.2 Use the density in (b) and give iterated integrals for the mass of the region R in terms of 2.2.1 Polar coordinates 2.2.2 Cartesian coordinates (A) with R a plate bounded by the lines x = 1, y = x-2 and y = 2.
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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Good day, please help me with Question 2.2.2 sub part 1 - getting the polar and cartesian coords for the integral. I just want to compare my answers as no solution was given in class.
Transcribed Image Text:2.1 Give the density at each point (x, y) in a region R
if the density is directly proportional to the distance
from the point to the (a) origin, (b) the y axis.
=
density
k (distance)
a
on R
dersity =
k √√(x-o)² + (y₁0³²
k√√ x² + y²
=
b
(x, y)
{(o, y))
dersity - k√(x-03²+(y-y)²
k√x²
→ (0,0)
klal = kx
Transcribed Image Text:2.2 Use the density in (b) and give iterated
integrals for the mass of the region R in terms of
2.2.1 Polar coordinates 2.2.2 Cartesian coordinates
(A) with R a plate bounded by the lines
x = 1, y = x 2 and y = 2.
(B) with R the part of the ring in the second
quadrant bounded by x² + y² = 4 and x² + y² = 9.
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