Find the Taylor series for the given function. Give the interval of convergence.f(x) = 
A. 2 - 2x2 + 2x4 - 2x6 + . . . + (-1)n2x2n + . . . ; (-1, 1)
B. 2 - 2x2 + 2x4 - 2x6 + . . . + (-1)n2x2n + . . . ; (-?, ?)
C. 2 - 2x + 2x2 - 2x3 + . . . + (-1)n 2xn + . . . ; (-1, 1)
D. 2 - 
x2 + 
x4 - 
x6 + . . . + 
x2n + . . . ; (-1, 1)
Answer: A
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Provide an appropriate response.Consider the following preference schedule.
If the winner is decided by plurality, which of the following fairness criteria is violated?
A. Fairness Criterion 1 B. Fairness Criterion 4 C. Fairness Criterion 3 D. All of these
Graph the hyperbola.
- 
= 1
A. 
B. 
C. 
D. 
Simplify completely. If the fraction is improper, write it as a mixed number.
A. 1
B. 1
C. 
D. 2
Factor as completely as possible. If unfactorable, indicate that the polynomial is prime.16 -(x + 3y)2
A. (4 + x - 3y)(4 - x - 3y) B. (4 + x + y)(4 - x - y) C. (4 + 3xy)(4 - 3xy) D. (4 + x + 3y)(4 - x - 3y)