A line of ants on my counter follows the shape of the parabola x=y +1from the point (1, 0) to (10, 3), with x and y coordinates in inches (graphed below). The density of ants on the curve is given by p(x, y)=2.xy +lants per inch. Set up an integral that would calculate the total number of ants on the curve. (Your integral needs to be a definite integral with limits of integration and ready to be integrated.) -3 8. 9. 10

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
A line of ants on my counter follows the shape of the parabola x= y +1from the point (1, 0) to (10, 3), with
x and y coordinates in inches (graphed below). The density of ants on the curve is given by p(x, y)=2xy +lants per
inch. Set up an integral that would calculate the total number of ants on the curve. (Your integral needs to be a definite
integral with limits of integration and ready to be integrated.)
-2
0.
6.
8.
6.
10
Transcribed Image Text:A line of ants on my counter follows the shape of the parabola x= y +1from the point (1, 0) to (10, 3), with x and y coordinates in inches (graphed below). The density of ants on the curve is given by p(x, y)=2xy +lants per inch. Set up an integral that would calculate the total number of ants on the curve. (Your integral needs to be a definite integral with limits of integration and ready to be integrated.) -2 0. 6. 8. 6. 10
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