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Show that the differential form in the integral is exact. Then evaluate the integral. (1,2,3) 2xy dx + (x2 - z°) dy - 6yz dz (0,0,0)

Show that the differential form in the integral is exact. Then evaluate the integral. (1,2,3) 2xy dx + (x2 - z°) dy - 6yz dz (0,0,0)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.3: Maxima And Minima
Problem 20E
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Show that the differential form in the integral is exact. Then evaluate the integral.

Show that the differential form in the integral is exact. Then evaluate the integral. (1,2,3) 2xy dx + (x2 - z6) dy - 6yz5 dz (0,0,0) ..... OP %3D ду Compute the partial derivative. ƏN dz Compute the partial derivative. ƏM dz Compute the partial derivative. OP %3D dx Compute the partial derivative. ƏN dx Compute the partial derivative. ƏM ду Select the correct choice below and fill in any answer boxes within your choice. (1,2,3) 2xy dx + (x - z°) dy - 6yz° dz = O A. (0,0,0) (Type an exact answer.) B. The differential form is not exact.
Transcribed Image Text:Show that the differential form in the integral is exact. Then evaluate the integral. (1,2,3) 2xy dx + (x2 - z6) dy - 6yz5 dz (0,0,0) ..... OP %3D ду Compute the partial derivative. ƏN dz Compute the partial derivative. ƏM dz Compute the partial derivative. OP %3D dx Compute the partial derivative. ƏN dx Compute the partial derivative. ƏM ду Select the correct choice below and fill in any answer boxes within your choice. (1,2,3) 2xy dx + (x - z°) dy - 6yz° dz = O A. (0,0,0) (Type an exact answer.) B. The differential form is not exact.
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