Find the Taylor series for the given function. Give the interval of convergence.f(x) = ln (1 - 2x2)
A. -2x2 - 2x4 - . . . - x2n+2 - . . . ;
B. -2x2 + 2x4 - . . . + x2n+2 - . . . ;
C. -2x2 - 2x4 - . . . - x2n+2 - . . . ;
D. -2x2 + 2x4 - . . . + x2n+2 - . . . ;
Answer: C
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Find the Taylor polynomial of order 3 based at a for the given function.arctan 3x; a = -1
A. arctan 3 + (x + 1) +
(x + 1)2 +
(x + 1)3
B. arctan 3 + (x + 1) +
(x + 1)2 +
(x + 1)3
C. -arctan 3 + (x + 1) +
(x + 1)2 +
(x + 1)3
D. -arctan 3 + (x + 1) +
(x + 1)2 +
(x + 1)3
Match the graph to one of the polar equations.
A. r = 2 sin ? B. r = 2 cos ? C. r = 1 D. r sin ? = 1
Combine like terms to simplify the expression.4t + 4s - 8t + s
A. 5s - 4t B. 3s - 4t C. 4s - 4t D. 5s + 12t
Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point.f(x) = -4x2 + 4x
A. minimum;
B. minimum;
C. maximum;
D. maximum;