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x- + Y- (e) Ā = (e) Ã = + C : {y = 0, z = 0, x € (0, 0)} x² + y²' t ey x² + y2' C: {x = 0, z = 0, y E (0, 0)} (f) Ã =

x- + Y- (e) Ā = (e) Ã = + C : {y = 0, z = 0, x € (0, 0)} x² + y²' t ey x² + y2' C: {x = 0, z = 0, y E (0, 0)} (f) Ã =

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 32EQ
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Please solve only (e) and (f).

4. Calculate the vectors A and C curves given below with CA dl Note: For closed curves, unless the direction is specified separately, take the counterclockwise direction of rotation. In other integrals, you can arbitrarily choose the starting and ending points of the integral. (a) A = xēn + yēy, C : {y = x, z = 0, x E (0, 1)} (b) A = yẽ, – xẽ,y, C : {x² + y? = 1, z = 0} (c) Ã = xẽ, + yẽ,, C : {x² + y² = 1, z = 0} (d) Ā = C : {y = x, z = 0, x E (0, 00)} x² + y²' (e) Ā Ex + Cy C:{y = 0, z = 0, x E (0, 0)} x² + y?' (f) Ã C: {x = 0, z = 0, y E (0, 0)} x² + y?' -yē, + xēy x2 + y? C : {x² + y? = 1, z = 1} (g) Ā = ||
Transcribed Image Text:4. Calculate the vectors A and C curves given below with CA dl Note: For closed curves, unless the direction is specified separately, take the counterclockwise direction of rotation. In other integrals, you can arbitrarily choose the starting and ending points of the integral. (a) A = xēn + yēy, C : {y = x, z = 0, x E (0, 1)} (b) A = yẽ, – xẽ,y, C : {x² + y? = 1, z = 0} (c) Ã = xẽ, + yẽ,, C : {x² + y² = 1, z = 0} (d) Ā = C : {y = x, z = 0, x E (0, 00)} x² + y²' (e) Ā Ex + Cy C:{y = 0, z = 0, x E (0, 0)} x² + y?' (f) Ã C: {x = 0, z = 0, y E (0, 0)} x² + y?' -yē, + xēy x2 + y? C : {x² + y? = 1, z = 1} (g) Ā = ||
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