Answer the question.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 ii
B. i and iii
C. i, ii, and iii
D. iii only
Answer: B
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Factor completely. If the polynomial cannot be factored, say it is prime.10y2 + 45y - 25
A. 5(2y + 1)(y - 5) B. 5(2y - 1)(y + 5) C. (10y - 5)(y + 5) D. prime
Use mathematical induction to prove the following.6 + 12 + 18 + . . . + 6n = 3n(n + 1)
What will be an ideal response?
The Richter scale converts seismographic readings into numbers for measuring the magnitude of an earthquake according to this function M(x) = log 
, where x0 = 10-3.What is the magnitude of an earthquake whose seismographic reading is 6.5 millimeters at a distance of 100 kilometers from its epicenter? Round the answer to the nearest tenth.
A. 3.8 B. 2.4 C. 2.8 D. 812.9
Solve the problem.Melinda wanted to know the total number of hours she worked this week. Her time card indicated the following hours: Monday, 5.19 hours; Tuesday, 1.51 hours; Thursday, 3.18 hours. How many hours has Melinda worked?
A. 8.88 hr B. 10.88 hr C. 9.88 hr D. 9.78 hr