Does the following series converge or diverge? State which t…

Does the following series converge or diverge? State which test you use and show all work. ∑ n = 1 ∞ 1 6 n 8 + n 11 {“version”:”1.1″,”math”:”\sum\limits_{n=1}^\infty \frac{1}{6n^8 + n^{11}}”}(Show all sufficient work in steps, use the technique or method discussed in this course and include the name of test you used.)

Part A (5 points) Suppose fx{“version”:”1.1″,”math”:”fx”} is…

Part A (5 points) Suppose fx{“version”:”1.1″,”math”:”fx”} is a function which has continuous derivatives. Furthermore, the following are true: f ( 0 ) = − 2 f ′ ( 0 ) = 3 f ″ ( 0 ) = 1 f ‴ ( 0 ) = − 6 {“version”:”1.1″,”math”:”\begin{align*} f(0) &= -2 \\[5pt] f'(0) &= 3 \\[5pt] f”(0) &= 1 \\[5pt] f”'(0) &= -6 \end{align*}”} Find the third-degree Maclaurin polynomial for fx{“version”:”1.1″,”math”:”fx”}. Write your answer in the first answer box. Part B (2 points) Approximate f12{“version”:”1.1″,”math”:”f12″} using the Maclaurin polynomial you found in Part A. Write your answer in the second answer box. Hint: Do your algebra using fractions instead of decimals — it will be easier. (Show all sufficient work in steps and use the technique or method discussed in this course. )

Determine if the following series converges or diverges: ∑…

Determine if the following series converges or diverges: ∑ k = 1 ∞ ( − 1 ) k k 3 k 6 + 1 {“version”:”1.1″,”math”:”\sum\limits_{k=1}^\infty (-1)^k \frac{k^3}{\sqrt{k^6 + 1}}”}(Show all sufficient work in steps, use the technique or method discussed in this course and include the name of test you used.)

A company’s mission—which explains how, and for whom, it cre…

A company’s mission—which explains how, and for whom, it creates value—is an increasingly important part of its employee value proposition. A 2018 survey by LinkedIn, a job-networking website, found that __________ of respondents aged 22 to 37 would be open to a lower salary in order to work for a company whose mission they strongly endorsed; __________ of respondents aged 54 to 72 would be open to such a pay cut.

Find the mass of a length of one-dimensional wire that is 5…

Find the mass of a length of one-dimensional wire that is 5 feet long and has a density function  ρ ( x ) = x 2 + 4 x     ounces feet {“version”:”1.1″,”math”:”\rho (x) = x^2 + 4x ~~\frac{\text{ounces}}{\text{feet}}”}Note: Leave your answer as a fully-reduced fraction.