Solve the problem.Assume that f(x) is a function such that  ? 1 for all n and all x and let pn(x) be the nth-degree Taylor polynomial for f at 0. Use Taylor's formula for the remainder to find the smallest value of n such that the error in the approximation of f(6) by pn(6) is guaranteed to be less than 0.001.

A. n = 13
B. n = 20
C. n = 6
D. n = 25


Answer: B

Mathematics

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The following table shows the cubic inches C of air remaining in a leaky balloon t seconds after the leaking started.

 t 0 3 6 9 C 828 717 621 402?
A: Explain in practical terms the meaning of .
B: Use the average rate of change from  to   to estimate  at . Round your answer to two decimal places. C: Use your answer from part B to estimate the amount of air remaining in the balloon after 5 seconds. Round your answer to two decimal places.

What will be an ideal response?

Mathematics

Determine whether or not the function is one-to-one.{(1, 27), (2, 40), (3, 55), (4, 55), (5, 21)}

A. Yes B. No

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Find the domain of the rational function.g(x) = 

A. {x|x ? 6, x ? 7} B. all real numbers C. {x|x ? -6, x ? -7, x ? -2} D. {x|x ? -6, x ? -7}

Mathematics

Multiply and simplify.511 ? 5-3

A. 511 B. 55 C. 53 D. 58

Mathematics