Find the first four terms of the Taylor series for the function.f(x) = x3, centered at x = 6
A. 216 + 36(x - 6) + 36(x - 6)2 + (x - 6)3 + ...
B. 216 + 108(x - 6) + 18(x - 6)2 + (x - 6)3 + ...
C. 6 + 3(x - 6) + (x - 6)2 + (x - 6)3 + ...
D. 864 + 108(x - 6) + 12(x - 6)2 + (x - 6)3 + ...
Answer: B
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Graph the pair of parametric equations in the rectangular coordinate system.x = 2t - 1, y = t2 + 1; -4 ? t ? 4 
A. 
B. 
C. 
D. 
Solve the initial value problem.Differential Equation: 
= (t4 + 4t2)i + 4tjInitial Condition: r(0) = -5i + 2j
A. r(t) = 
i + (t2 + 2)j
B. r(t) = 
i + (2t2 + 2)j
C. r(t) = 
i + 2t2j
D. r(t) = 
i + (2t2 - 5)j
Rewrite the expression with a positive rational exponent. Simplify, if possible.121/9 ? 128/9
A. 121/9
B. 
C. 12
D. 128/81
Factor the sum or difference of two cubes.x3 + 512
A. (x - 8)(x2 + 8x + 64) B. (x - 512)(x2 - 1) C. (x + 8)(x2 + 64) D. (x + 8)(x2 - 8x + 64)