Find the Taylor series for the given function. Give the interval of convergence.f(x) = 
A. 7 + 63x + . . . + (-1)n 7 ? 9nxn + . . . ;
B. 7x + 63x2 + . . . + (-1)n 7 ? 9nxn+1 + . . . ;
C. 7x - 63x2 + . . . + (-1)n 7 ? 9nxn+1 + . . . ;
D. 7 - 63x + . . . + (-1)n 7 ? 9nxn + . . . ;
Answer: D
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Solve the problem.A bird flies from its nest 2 km in the direction 1° north of east, where it stops to rest on a tree. It then flies 5 km in the direction 1° south of west and lands atop a telephone pole. With an xy-coordinate system where the origin is the bird's nest, the x-axis points east, and the y-axis points north, at what point is the telephone pole located?
A. (-4.999, -0.08726) B. (2.000, 0.03490) C. (-3.000, -0.05236) D. (-1.621, -1.019)
Transform the equation to a form without an xy-term by a rotation of axes. Graph the curve.5x2 - 6xy + 5y2 - 8 = 0
A.
B.
C.
D.
Add or subtract. Express the answer as a mixed number.10 - 6
A. 16
B. 15
C. 3
D. 3
Find the tax refund or tax due for the following people. The letter following the name indicates the marital status. Assume a 52-week year and that all married people are filing jointly. Use $4050 for each personal deduction, a standard deduction of $6300 for single taxpayers, $12,600 for married taxpayers filing jointly, and $9300 for head of household and the tax rate schedule.
A. $685.96 due B. $2,662.22 due C. $2,662.22 refund D. $685.96 refund