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.For approximately what values of x can tan-1 x be replaced by 
with an error of magnitude no greater than 
?
A. |x| < 0.11960 B. |x| < 0.08395 C. |x| < 0.11699 D. |x| < 0.08182
Mathematics
Perform the indicated operation. Simplify your answers. 
+ 
A. 
B. 
C. 
D. 
Mathematics
Verify that the matrix is invertible and find its inverse.A = 
A. A-1 = 
B. A-1 = 
C. A-1 = 
D. A-1 = 
Mathematics
Find the value of the constant k that makes the function continuous.f(x) = 
A. k = 14 B. k = 2 C. k = 8 D. k = 6
Mathematics