2. Assume the point A = (10, 0) is at the edge of the city. a. Express the exposure in terms of a double integral in rectangular coordinates. b. Express the exposure in terms of a double integral in polar coordinates. c. Find a decimal approximation of the exposure by evaluating numerically on the TI89 the double integral from part (a).
2. Assume the point A = (10, 0) is at the edge of the city. a. Express the exposure in terms of a double integral in rectangular coordinates. b. Express the exposure in terms of a double integral in polar coordinates. c. Find a decimal approximation of the exposure by evaluating numerically on the TI89 the double integral from part (a).
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 just answer question 2 and all the parts, I need the help on this question I've been stuck on it all day please do all the parts to it too! thanks
Transcribed Image Text:Let D be the disk centered at (0, 0) with a radius of 10 miles.
Let A = (xo, yo) be the position of an uninfected individual (miles)
Let P = (x, y) be a position (miles).
Assume: For a person at position A,
(20 – V(x – xo)² + (y – yo)*IdA.
еxposure
= k
20
D
1. Assume the point A = (0, 0) is at the center of the city.
a. Express the exposure in terms of a double iterated integral in rectangular coordinates.
b. Express the exposure in terms of a double iterated integral in polar coordinates.
c. Find the exposure exactly by evaluating by hand the double integral from part (b).
d. Check you answer to part (c), by integrating exactly on the TI89 with input/output.
e. Find the decimal approximation (two decimal places) of the answer from part (d).
2. Assume the point A = (10, 0) is at the edge of the city.
a. Express the exposure in terms of a double integral in rectangular coordinates.
b. Express the exposure in terms of a double integral in polar coordinates.
c. Find a decimal approximation of the exposure by evaluating numerically on the TI89 the
double integral from part (a).
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