Find the Taylor series for the given function. Give the interval of convergence.f(x) = 
A. 1 + x2 +
x4 +
x6 + . . . +
x2n + . . . ; (-?, ?)
B. 1 + x2 +
x4 +
x6 + . . . +
x2n + . . . ; (-4, 4)
C. 1 + 42x2 + 44x4 + 46x6 + . . . + 42nx2n + . . . ; (-?, ?)
D. 1 + 4x + x2 +
x3 + . . . +
xn + . . . ; (-?, ?)
Answer: A
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Find the intervals on which the function is increasing and the intervals on which the function is decreasing.f(x) = - x2 + 7x - 7
A. Increasing on ; decreasing on
B. Increasing on ; decreasing on
C. Increasing on ; decreasing on
D. Increasing on ; decreasing on
Use the figure to answer
If in the figure above, DE = 5 and CE = 2, find DC.
Factor.6z2 - 5z - 6
A. (3z - 2)(2z + 3) B. (3z + 2)(2z - 3) C. (6z + 1)(z - 6) D. (6z + 2)(z - 3)
Identify all the values of the variable for which the expression is undefined.
A. - 10 B. 10 C. 10, - 10 D. 2, - 10