Mathematics: The Cat is a high-speed catamaran auto ferry that operates between City A and City B. The Cat can make the in about 3.5 hours at a speed of 56 mph About how far apart are City A and City B?

If the integral converges, then so will the sum.Let , so that . Then the integral isso the sum converges by the integral test (to some number less than 1/2)....

The Cat is a high-speed catamaran auto ferry that

Ответ:

tiaholmes31

04.10.2021

Mathematics

196

Step-by-step explanation:

56*3.5=196

plz mark as brainliest

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Ответ:

rashawng2005

18.10.2022

Mathematics

$\displaystyle\sum_{n=1}^\infty\frac2{(2n+1)^3}$

If the integral converges, then so will the sum.

Let y=2x-1

, so that $\mathrm dy=2\,\mathrm dx$ . Then the integral is

$\displaystyle\int_1^\infty\frac{\mathrm dy}{y^3}=\lim_{c\to\infty}\int_1^c\frac{\mathrm dy}{y^3}$
$\displaystyle=\lim_{c\to\infty}-\frac1{2y^2}\bigg|_{y=1}^{y=c}$
$\displaystyle=\lim_{c\to\infty}-\frac1{2c^2}+\frac1{2\times1^2}$
$=\dfrac12$

so the sum converges by the integral test (to some number less than 1/2).

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The Cat is a high-speed catamaran auto ferry that operates between City A and City B. The Cat can make the in about 3.5 hours at a speed of 56 mph About how far apart are City A and City B?

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