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3 years ago

HELP ASAP

Mathematics

2 answers:

alexandr402 [8]3 years ago

6 0

Answer:

0.2h

Step-by-step explanation:

13/78 = 0.16666666666667

Rounded to the nearest tenth is the 0.2

Bad White [126]3 years ago

4 0

The answer is 6 and heres how:

78/13=6

hope this helps

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Sarah read 64 1/2 pages of her book in 6 hours. What is the average number of pages that Sarah reads per hour?

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Answer:

We conclude that the average number of pages that Sarah reads per hour will be: 10.75 page per hour

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3 years ago

What is the antiderivative of e^x^2?

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Answer: The antiderivative of $e^{x^{2}}$ is $\sqrt{\pi} \sqrt{e^{x^2}-1} +C$ .

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$I=\int{e^{x^2}dx}\\I^2=\int{e^{x^2}dx}\int{e^{x^2}dx}$

Using dawson integral.

$I^2=\int{e^{x^2}dx}\int{e^{y^2}dy}$

$I^2=\int{\int{e^{x^2+y^2}dxdy}}$

Put $x^2+y^2=r^2$

$I^2=\int{\int{e^{r^2}rdrd\theta}}$

$\int_{0}^{2\pi}{d\theta}\int_{0}^{x}{re^{r^2}dr}$

Use substitution method and sunbstitute $r^2=t$ .

$\int_{0}^{2\pi}{d\theta}\int_{0}^{x^2}{\frac{1}{2}e^tdt}$

$I^2=\frac{1}{2}|\theta|_{0}^{2\pi}|e^t|_{0}^{x^2}\\I^2=\frac{1}{2}(2\pi)(e^{x^2}-1)\\I=\sqrt{\pi}\sqrt{e^{x^2}-1}$ .

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