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y 3| 1. Let f(r, y) give the population density, in thousands of insects per square mile, at the point (r, y), where z and y are measured in miles. A contour diagram for the function f is given to the right. 5 10 15 1 20 2 (a) Using Ar = 2 and Ay = 1, estimate Sr f(r, y) dA, where R is the rectangle given by 0

y 3| 1. Let f(r, y) give the population density, in thousands of insects per square mile, at the point (r, y), where z and y are measured in miles. A contour diagram for the function f is given to the right. 5 10 15 1 20 2 (a) Using Ar = 2 and Ay = 1, estimate Sr f(r, y) dA, where R is the rectangle given by 0

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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y 3 1. Let f(x, y) give the population density, in thousands of insects per square mile, at the point (z, y), where z and y are measured in miles. A contour diagram for the function f is given to the right. 5 2 10 15 1 20 2 (a) Using Ar = 2 and Ay = 1, estimate fR f(r, y) dA, where R is the rectangle given by 0 < r< 4 and 0<y< 3. Clearly show enough work so that your reasoning is clear. (b) Give a complete sentence interpretation of the integral from part(a) in the context of this problem. Include all relevant units.
Transcribed Image Text:y 3 1. Let f(x, y) give the population density, in thousands of insects per square mile, at the point (z, y), where z and y are measured in miles. A contour diagram for the function f is given to the right. 5 2 10 15 1 20 2 (a) Using Ar = 2 and Ay = 1, estimate fR f(r, y) dA, where R is the rectangle given by 0 < r< 4 and 0<y< 3. Clearly show enough work so that your reasoning is clear. (b) Give a complete sentence interpretation of the integral from part(a) in the context of this problem. Include all relevant units.
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