Calculate the line integral f(-102 + 4z + 5) de + (-7z – Oy? – by – 4) dy, where Dis the annulus gven by the polar inequalities 4 Srs band 0sos 2r. You may assume the inner hole of OD has a negative orientation and the outer boundary of OD has a positive orientation. Enter an exact answer. Provide your answer below:

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
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Calculate the line integral
E (-10z² + 4x + 5) dæ + (–7æ – 9y² – 6y – 4) dy,
where D is the annulus given by the polar inequalities 4 <r < 5 and 0 < 0 < 27.
You may assume the inner hole of dD has a negative orientation and the outer boundary of aD has a positive orientation.
Enter an exact answer.
Provide your answer below:
\displaystylefp(–10x² + 4x + 5)dx +(-7x – 9y² – 6y – 4)dy =
Transcribed Image Text:Calculate the line integral E (-10z² + 4x + 5) dæ + (–7æ – 9y² – 6y – 4) dy, where D is the annulus given by the polar inequalities 4 <r < 5 and 0 < 0 < 27. You may assume the inner hole of dD has a negative orientation and the outer boundary of aD has a positive orientation. Enter an exact answer. Provide your answer below: \displaystylefp(–10x² + 4x + 5)dx +(-7x – 9y² – 6y – 4)dy =
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