(c) Ã = xẽ, + yếy, C : {n² + y² = 1, z = 0} %3| ex (d) Ā = En + Ey 2 + 12 C : {y = x, z = 0, x € (0, ∞)}
(c) Ã = xẽ, + yếy, C : {n² + y² = 1, z = 0} %3| ex (d) Ā = En + Ey 2 + 12 C : {y = x, z = 0, x € (0, ∞)}
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 97E
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Question
Please solve only (c) and (d).
![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 =
||](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F028cc30c-0666-4843-a02b-c768278bfe64%2F706ac6c6-3b71-4693-9e32-920fe1c6c3be%2Ft4tv6x1q_processed.png&w=3840&q=75)
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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