Find the Taylor series generated by f at x = a.f(x) = x3 + 5x2 - 2x - 2, a = -4
A. (x + 4)3 + 7(x + 4)2 + 6(x + 4) - 22
B. (x + 4)3 - 7(x + 4)2 + 10(x + 4) + 22
C. (x + 4)3 + 7(x + 4)2 + 10(x + 4) - 22
D. (x + 4)3 - 7(x + 4)2 + 6(x + 4) + 22
Answer: D
You might also like to view...
Solve the problem.The sum of twice a number and 14 less than the number is the same as the difference between -22 and the number. What is the number?
A. -3 B. -4 C. -1 D. -2
Answer each question appropriately.Suppose the velocity of a body moving along the s-axis is 
= 9.8t - 6.Is it necessary to know the initial position of the body to find the body's displacement over some time interval? Justify your answer.
A. Yes, integration is not possible without knowing the initial position. B. No, the initial position is necessary to find the curve s= f(t) but not necessary to find the displacement. The initial position determines the integration constant. When finding the displacement the integration constant is subtracted out. C. No, displacement has nothing to do with the position of the body. D. Yes, knowing the initial position is the only way to find the exact positions at the beginning and end of the time interval. Those positions are needed to find the displacement.
Find the derivative of the function at the given value of x using a graphing utility. If necessary, round to four decimal places.f(x) = x sin(8x); x = 9
A. -69.6336 B. 2284.3294 C. -69.3875 D. -2284.3294
Solve. Assume the exercise describes a linear relationship.In 2005, John invested $18,000 in the stock market. By 2010 his investment had grown to $21,700. Find an equation relating time and the value of the investment. If the market continues to grow at the same rate, how much will be in his account in 2017? Give your answer to the nearest dollar.
A. $21,701 B. $25,400 C. $23,181 D. $26,880