Perform the operation indicated. Simplify.
- 
A.
B.
C.
D.
Answer: B
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Using Green's Theorem, find the outward flux of F across the closed curve C.F =(x2 + y2)i + (x - y)j ; C is the rectangle with vertices at (0, 0), (1, 0), (1, 9), and
A. 0 B. -72 C. 90 D. 18
Find the first three nonzero terms of the Maclaurin series for the given function and the values of x for which the series converges absolutely.f(x) = cos x -
A. -6 + 7x + x2 + ..., -1 < x < 1
B. -6 - 7x - x2 - ..., -1 < x < 1
C. -6 - 7x + x2 - ..., -1 < x < 1
D. -6 - x - x2 - ..., -1 < x < 1
Find the distance between the pair of points. Where appropriate, give an approximation to three decimal places.(-291,1292) and (977, -436)
A. ? 1859.188
B. ? 1529.889
C. ? 2143.317
D. ? 1096.965
Use a Venn diagram to answer the question.A survey of a group of 113 tourists was taken in St. Louis. The survey showed the following:63 of the tourists plan to visit Gateway Arch;48 plan to visit the zoo;9 plan to visit the Art Museum and the zoo, but not the Gateway Arch;13 plan to visit the Art Museum and the Gateway Arch, but not the zoo;17 plan to visit the Gateway Arch and the zoo, but not the Art Museum;9 plan to visit the Art Museum, the zoo, and the Gateway Arch;15 plan to visit none of the three places.How many plan to visit the Art Museum only?
A. 98 B. 35 C. 13 D. 59