Use the Fundamental Theorem of Line Integrals to calculate /Fd7 where F - 19" 7 + 5y 7 and Cis the top of the unit circle from( 1, 0) to (-1,0). Enter an exact answer.

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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F. d7 where F - 19x8 7 + 5y 7 and C'is the top of
Use the Fundamental Theorem of Line Integrals to calculate
the unit circle from(1, 0) to (- 1,0).
Enter an exact answer.
Use the Fundamental Theorem of Line Integrals to calculate Fd7 where F = 2sin(2x + y) 7 + sin(2x + y) 7 and
Cis the path consisting of a line from (4x, 0) to (2, 5) followed by a line to (5#, 0) followed by a quarter circle to (0, 5r).
Enter an exact answer.
Use the Fundamental Theorem of Line Integrals to calculate
F. dr where F = ye" i + xe"" j + (cos z)k along the curve
consisting of a line from (0,0, 7) to (1, 1, 7) followed by the parabola
z = Tx' in the plane y = 1 to the point (2, 1, 47).
NOTE: Enter the exact answer, or round to three decimal places.
dr =
Transcribed Image Text:F. d7 where F - 19x8 7 + 5y 7 and C'is the top of Use the Fundamental Theorem of Line Integrals to calculate the unit circle from(1, 0) to (- 1,0). Enter an exact answer. Use the Fundamental Theorem of Line Integrals to calculate Fd7 where F = 2sin(2x + y) 7 + sin(2x + y) 7 and Cis the path consisting of a line from (4x, 0) to (2, 5) followed by a line to (5#, 0) followed by a quarter circle to (0, 5r). Enter an exact answer. Use the Fundamental Theorem of Line Integrals to calculate F. dr where F = ye" i + xe"" j + (cos z)k along the curve consisting of a line from (0,0, 7) to (1, 1, 7) followed by the parabola z = Tx' in the plane y = 1 to the point (2, 1, 47). NOTE: Enter the exact answer, or round to three decimal places. dr =
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