Solve the problem.Show that df = -
dx +
dy -
dz is exact.
What will be an ideal response?
Answers will vary.
Mathematics
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Calculate the circulation of the field F around the closed curve C.F = - x2yi -
xy2j; curve C is r(t) = 5 cos ti + 5 sin tj, 0 ? t ? 2?
A. 0
B. -
C. -
D. -
Mathematics
Evaluate the integral by making a substitution and then using a table of integrals.
A. + 8 ln
+ C
B. + 8 sin-1
+ C
C. + 8 ln
+ C
D. 8 sin-1 + C
Mathematics
Use unit ratios or conversion factors to change to the units indicated. Round to the nearest tenth, if necessary.42 L to quarts
A. 44.5 qt B. 50.4 qt C. 19.1 qt D. 39.7 qt
Mathematics
Find the specified vector or scalar.v = 7i + 2j; Find 4v.
A. 11i + 6j B. 28i + 8j C. 11i + 2j D. 28i + 2j
Mathematics