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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Change 9 5/8 to an improper fraction.

a. 14/8 b. 77/8 c. 49/8 d. 53/8 e. 50/8

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Use a vertical shift to graph the function.y = 2 cos  + 2 

A.

B.

C.

D.

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Evaluate the series.

A.
B.
C.
D.

Mathematics

Write the number in scientific notation.An music album sells 575,000 copies.

A. 5.75 × 103 B. 5.75 × 10-4 C. 5.75 × 105 D. 5.75 × 104

Mathematics