Show that the differential form in the integral is exact. Then evaluate the integral. (1,2,3) 5 5x¹y dx + (x³ -z¹) dy - 4yz³ dz (0,0,0) Compute the paruar derivative. ƏM = 0 əz Compute the partial derivative. ap = 0 ax Compute the partial derivative. ƏN = 5x+ ax Compute the partial derivative. ƏM = 5x ду Select the correct choice below and fill in any answer boxes within your choice. (1,2,3) 5x¹y dx + (x³ - z¹) dy - 4yz³ dz = A. (0,0,0) (Type an exact answer.) B. The differential form is not exact.

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
Section9.4: Total Differentials And Approximations
Problem 10E: Use the total differential to approximate each quantity. Then use a calculator to approximate the...
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Show that the differential form in the integral is exact. Then evaluate the integral.
(1,2,3)
5
5x¹y dx + (x³ -z¹) dy - 4yz³ dz
(0,0,0)
Compute the paruar derivative.
ƏM
= 0
əz
Compute the partial derivative.
ap
= 0
ax
Compute the partial derivative.
ƏN
= 5x+
ax
Compute the partial derivative.
ƏM
= 5x
ду
Select the correct choice below and fill in any answer boxes within your choice.
(1,2,3)
5x¹y dx + (x³ -z¹) dy - 4yz³ dz = [
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) 5 5x¹y dx + (x³ -z¹) dy - 4yz³ dz (0,0,0) Compute the paruar derivative. ƏM = 0 əz Compute the partial derivative. ap = 0 ax Compute the partial derivative. ƏN = 5x+ ax Compute the partial derivative. ƏM = 5x ду Select the correct choice below and fill in any answer boxes within your choice. (1,2,3) 5x¹y dx + (x³ -z¹) dy - 4yz³ dz = [ A. (0,0,0) (Type an exact answer.) B. The differential form is not exact.
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