Solve the problem.Consider the counterclockwise integral where C is a closed path in a region where Green's Theorem applies. To evaluate the integral, should one use the flux-divergence form or the circulation-flow form of Green's theorem? Explain.

What will be an ideal response?


Both forms give the same result.

Mathematics

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Provide an appropriate response.Given that f(x) = 6 and g(x) = 3x + 1, find (f ? g)(5).

A. 20 B. 32 C. 28 D. 24

Mathematics

Solve the problem.A study of grocery buying habits in a particular region stated that for the years 2001 - 2005, the annual number of new family-run grocery stores can be estimated by the model  where x is the number of years after 2000. Graph this model by hand and use the graph to predict the number of family-run stores that will start up in 2008.

A. 1130 stores

B. 830 stores

C. 2290 stores

D. 1630 stores

Mathematics

Find the sum of the geometric series.Express the answer as a fraction.

A.
B. 8857
C.
D.

Mathematics

Find the specified value of the objective function f on the given region.Minimum of f = 7x + 3y

A. 36 B. 0 C. 16 D. 24

Mathematics