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3 years ago

How many customers were younger than 35?

Mathematics

1 answer:

GenaCL600 [577]3 years ago

3 0

Answer:

Explanation:

if 0 = 10 than 1 = 20 and 2=30

so we count all the numbers from 0-2

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Evaluate the integral using the indicated trigonometric substitution. (use c for the constant of integration.) x^3 / sqrt x^2 +

slava [35]

$\displaystyle\int\frac{x^3}{\sqrt{x^2+49}}\,\mathrm dx$

Taking $x=7\tan\theta$ gives $\mathrm dx=7\sec^2\theta\,\mathrm d\theta$ , so that the integral becomes

$\displaystyle\int\frac{(7\tan\theta)^3}{\sqrt{(7\tan\theta)^2+49}}(7\sec^2\theta)\,\mathrm d\theta$
$=\displaystyle7^4\int\frac{\tan^3\theta\sec^3\theta}{\sqrt{49\tan^2\theta+49}}\,\mathrm d\theta$
$=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sqrt{\tan^2\theta+1}}\,\mathrm d\theta$
$=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sqrt{\sec^2\theta}}\,\mathrm d\theta$
$=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{|\sec\theta|}\,\mathrm d\theta$

When $\sec\theta>0$ , we have

$=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sec\theta}\,\mathrm d\theta$
$=\displaystyle7^3\int\tan^3\theta\sec^2\theta\,\mathrm d\theta$

and from here we can substitute $u=\tan\theta$ to proceed from here.

Quick note: When we set $x=7\tan\theta$ , we are implicitly enforcing $-\dfrac\pi2$ just so that the substitution can be undone later via $\theta=\tan^{-1}\dfrac x7$ . But note that over this domain, we automatically guarantee that $\sec\theta>0$ , so the absolute value bars can be dropped immediately.

6 0

3 years ago

What can be one centimter long A. ANT B. CAT C. BEAR D. DOG

Lilit [14]

One centimeter is less than 1 inch. So there's only one thing on the choices that is less than 1 inch. That would be the answer.

8 0

4 years ago

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5, 7, 11, 15, 21 is an infinite series. True or False

Gekata [30.6K]

Answer:

True

Step-by-step explanation:

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4 years ago

Solve: 10 sin^2(X) - 3sin(X) - 1 = 0

Svetlanka [38]

Answer:

(2u - 1)(5u + 1) =0

Step-by-step explanation:

The two subtractions in the equation means that it will be a plus and a minus and 10u would not get -3 nor -1

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3 years ago

Solve for x pleaseeee fast

SashulF [63]

Answer:

x = 76

Step-by-step explanation:

-4( x - 26 ) = -200

-4x + 104 = -200

-4x = -304

x = 76

Hopefully this helps!

Brainliest please?

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3 years ago

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