Find the first four terms of the Taylor series for the function.f(x) = e3x, centered at x = 0
A. 1 + 9x + 
x2 + 
x3 + ...
B. 1 + 3x + 
x2 + 
x3 + ...
C. 1 + 3x + 
x2 + 
x3 + ...
D. 1 + 3x + 
x2 + 9x3 + ...
Answer: C
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Use synthetic division to divide the first polynomial by the second.x4 - 3x3 + x2 + 5x - 8
x - 1
A. x3 - 2x2 + x + 4 + 
B. x3 - 2x2 + x + 6 + 
C. x3 + 2x2 - x + 6 - 
D. x3 - 2x2 - x + 4 - 
Find the indicated term or coefficient of the binomial expansion.Find the 4th term of the expansion of (x + 3y)14.
A. 9828x11y3 B. 3276x3y11 C. 9828x3y11 D. 3276x11y4
Evaluate the function as indicated.Find g(b) when g(x) = 
.
A. 
B. (b - 3)(b - 4)
C. 
D. 
Solve the problem.A person's salary is $34,000 for the first year and increases by 5% at the end of each year. Compute the person's total earning for 18 years.
A. $724,192.81 B. $906,362.73 C. $956,501.08 D. $612,043.17