Solve the problem.Assume the curl of a vector field F is zero. Can one automatically conclude that the circulation  for all closed paths C? Explain or justify your answer.

What will be an ideal response?


No, the region containing C may not be simply connected, in which case Stokes' Theorem does not apply.

Mathematics

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Use power series operations to find the Taylor series at x = 0 for the given function.f(x) = x10ex

A.
B.
C.
D.

Mathematics

Find an equation in point-slope form of the line having the specified slope and containing the point indicated.m = 4, (8, -8)

A. y + 8 = 4(x + 8) B. y + 8 = 4(x - 8) C. y - 8 = 4(x - 8) D. y - 8 = 4(x + 8)

Mathematics

Round the whole number to the given place value.659 to the nearest ten

A. 760 B. 650 C. 670 D. 660

Mathematics

Perform the desired operation. Write the answer in the form a + bi.(2 - 3i)2

A. -5 - 12i B. 13 - 12i C. 4 - 12i + 9i2 D. -5

Mathematics