REFER TO IMAGE 1. Consider the integralf y* dr – a* dywhere C is the circle of radius 2 centered at the origin with positive orientation.(a) If F(xr, y) = (y°, –r*) then calculate the quantityWhat does this make you think of?(b) Parameterize the boundary of the ellipse, making sure that your parameterization goes around oncein a counter-clockwise direction.(c) Set up two equivalent integrals to calculate o y³ dx – a³ dy. Choose one and evaluate it.

Name: REFER TO IMAGE 1. Consider the integralf y* dr – a* dywhere C is the c
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Description: REFER TO IMAGE 1. Consider the integralf y* dr – a* dywhere C is the circle of radius 2 centered at the origin with positive orientation.(a) If F(xr, y) = (y°, –r*) then calculate the quantityWhat does this make you think of?(b) Parameterize the boun

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1. Consider the integral f v* dx – x* dy where C is the circle of radius 2 centered at the origin with positive orientation. (a) If F(æ, y) = (y°, –2*) then caleulate the quantity What does this make you think of? dy (b) Parameterize the boundary of the ellipse, making sure that your parameterization goes around once in a counter-clockwise direction. (c) Set up two equivalent integrals to calculate y* dx – a* dy. Choose one and evaluate it.

1. Consider the integral f v* dx – x* dy where C is the circle of radius 2 centered at the origin with positive orientation. (a) If F(æ, y) = (y°, –2) then caleulate the quantity What does this make you think of? dy (b) Parameterize the boundary of the ellipse, making sure that your parameterization goes around once in a counter-clockwise direction. (c) Set up two equivalent integrals to calculate y dx – a* dy. Choose one and evaluate it.

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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REFER TO IMAGE

1. Consider the integral
f y* dr – a* dy
where C is the circle of radius 2 centered at the origin with positive orientation.
(a) If F(xr, y) = (y°, –r*) then calculate the quantity
What does this make you think of?
(b) Parameterize the boundary of the ellipse, making sure that your parameterization goes around once
in a counter-clockwise direction.
(c) Set up two equivalent integrals to calculate o y³ dx – a³ dy. Choose one and evaluate it.

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