Provide an appropriate response.Which of the following statements are false?I) For a function f(x), the Taylor polynomial approximation can always be improved by increasing the degree of the polynomial.II) Of all polynomials of degree less than or equal to n, the Taylor polynomial of order n gives the best approximation of f(x).III) The Taylor series at x = a can be obtained by substituting x - a for x in the corresponding Maclaurin series.
A. I and III
B. I and II
C. I, II, and III
D. III only
Answer: A
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Find the indicated number of terms of the Maclaurin polynomial for f(x) and use it to approximate the function value.f(x) = (1 + 3x)5; f(0.1); 4 terms
A. 3.7105 B. 3.67 C. 3.71293 D. 3.4
Solve the problem.The Mathematics Department is holding an election for department chair. Each member ranks the candidates from first to third. The preference table below shows the results of the ballots with candidates Clark (C), Jones (J), and Smith (S). 
Determine the winner using the Borda count method and if the winner received a majority of first place votes.
A. Smith; Yes B. Jones; Yes C. Smith; No D. Jones; No
Use the real estate amortization table to find the monthly payment for the loan.
What is the monthly payment on a 20-year loan of $57,600 if the annual interest rate is 8%?
A. $499.97 B. $482.11 C. $550.66 D. $464.26
Perform the indicated clock arithmetic.-(11 ? 8) (12-hr clock)
A. 5 B. Does not exist C. 4 D. 12