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3 years ago

15

A person drives a car at a constant speed for 4 hours and 30 minutes, traveling 288 miles. Find the speed of the car in miles pe

r hour.

1 answer:

JulsSmile [24]3 years ago

8 0

The speed of the car is 64 mph

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Determine whether the integral is convergent or divergent. ∫[infinity] 2 e^−1/x / x^2 dx : O Convergent O divergent If it is con

monitta

Let $f(x)=e^{-1/x}$ . Then $f'(x)=\frac1{x^2}e^{-1/x}>0$ for all $x\ge2$ , so $f$ is strictly increasing. As $x\to\infty$ , $e^{-1/x}\to e^0=1$ , so $f$ is bounded above by 1. This is to say,

$e^{-1/x}$

and the integral of $\frac1{x^2}$ converges over the same domain, so this integral must also converge by comparison.

We have, by setting $y=-\frac1x$ ,

$\displaystyle\int_2^\infty\frac{e^{-1/x}}{x^2}\,\mathrm dx=\int_{-1/2}^0e^y\,\mathrm dy=e^0-e^{-1/2}=1-\frac1{\sqrt e}$

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2 years ago

BaLLatris [955]

Answer:

160 is the answer please tell me if im wrong

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2 years ago

Azul went snorkeling and he noticed That is the ratio of parrotfish to clown fish what is 4:3 He saw a 20 parrot fish how many C

skelet666 [1.2K]

$\frac{4}{3} = \frac{20}{?}$

$\frac{3 \times 20}{4} = 15$

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3 years ago

Prove the divisibility of the following numbers:<br><br> 7^6+7^5−7^4 by 11

NARA [144]

Answer:

11

Step-by-step explanation:

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2 years ago

Read 2 more answers

X^2 -x-20=0 Solve the equation by completing the square

Igoryamba

X=4
first you add 20 to both sides
then you try all numbers that square to get less than 20 and 4 is the correct one

4 0

3 years ago