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aivan3 [116]
3 years ago
14

The price of an 18​-minute phone call is 1.60​$. What is the price of an 18​-minute phone​ call?

Mathematics
1 answer:
Finger [1]3 years ago
7 0
$1.60 for an 18 minute phone call. That would be $0.20 a minute.
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How do you integrate arctan(x dx? i think that if you simplify the integral you get:?
Temka [501]
Integration by parts will help here. Letting u=\arctan x and \mathrm dv=\mathrm dx, you end up with \mathrm du=\dfrac{\mathrm dx}{1+x^2} and v=x. Now

\displaystyle\int\arctan x\,\mathrm dx=uv-\int v\,\mathrm du
\displaystyle\int\arctan x\,\mathrm dx=x\arctan x-\int\frac x{1+x^2}\,\mathrm dx

For the remaining integral, setting y=1+x^2 gives \dfrac{\mathrm dy}2=x\,\mathrm dx, so

\displaystyle\int\frac x{1+x^2}\,\mathrm dx=\frac12\int\frac{\mathrm dy}y=\frac12\ln|y|+C=\frac12\ln(1+x^2)+C

Putting everything together, you end up with

\displaystyle\int\arctan x\,\mathrm dx=x\arctan x-\frac12\ln(1+x^2)+C
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3 years ago
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The answer to the question is 3 8/33
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aleksandr82 [10.1K]
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4 years ago
*<br> Simplify the expression:<br> (-6p+7). -4
Art [367]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Jenny thinks that the expression below is equal to x²-4. If you agree, show that she is correct. If you disagree, show that she
sergiy2304 [10]

Answer:

Jenny is wrong the correct answer is x²+ 4 - 4 x.

Step-by-step explanation:

Given that

(x-2)³∕x-2

(x-2)³∕(x-2) =(x-2) (x-2)²∕(x-2)

(x-2)³∕(x-2) = (x-2)²

As we know that

(a-b)² = a²+b² - 2 ab

So

(x-2)² = x²+ 2² - 2 ˣ 2 ˣ x =  x²+ 4 - 4 x

(x-2)² =  x²+ 4 - 4 x

It means that

(x-2)³∕(x-2) = (x-2)² =  x²+ 4 - 4 x

So Jenny is wrong the correct answer is x²+ 4 - 4 x.

8 0
3 years ago
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