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3 years ago

Please help! I’ll also give brainliest! Thank you!

Mathematics

1 answer:

Vladimir79 [104]3 years ago

5 0

Hi, sadly I am
not sure. Do you maybe mind explaining what rooster or your lesson is? Comment to me and Ill be glad to help!

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g find all the values of p for which the following functions are improperly integrable on the indicated domain. be sure to prove

mel-nik [20]

Answer:

1. In order to make the integral improper $p$ must be 1.

2. In order to make the integral improper $p$ must be 1.

Step-by-step explanation:

Using the rules of integration we get that for

$f(x)= \frac{1}{x^p}$

$\int\limits_{0}^{1} \frac{1}{x^p} \, dx = \frac{x^{1-p}}{(1-p)} \, |\limits_{0}^{1} = \frac{1}{1-p} - 0 = \frac{1}{1-p}$

Therefore in order to make that integral improper $p$ must be 1.

If p = 1 then you would have a 1/0 indeterminate form.

2. Using the of integration, specifically substitution we get that for

$f(x) = \frac{1}{x(ln(x)^p)}$

$\int\limits_{e}^{\infty} \frac{1}{x(ln(x))^p} \, dx = \frac{(ln(x))^{1-p}}{1-p} \, |\limits_{e}^{\infty}$

For $p \geq 1$ we would have

$\int\limits_{e}^{\infty} \frac{1}{x(ln(x))^p} \, dx = \frac{1}{p-1}$

And the problem is the same. If $p=1$ we would have a 1/0 indeterminate form.

5 0

3 years ago

Celia can make one batch of lemonade using 2 cups of lemon juice and 3 cups of water. In the space below, show or explain how sh

statuscvo [17]

Multiply it by 4 then it would taste the same as the one batch

3 0

3 years ago

Read 2 more answers

Write the equation. Solve for x.

strojnjashka [21]

Answer:

X = 3

Step-by-step explanation:

First count the amount of X's. There are 5 and it is plus two. Both sides should be equal in value so you have to set up your equation.

5x + 2 = 17

Then Solve For X

5x + 2 = 17

Subtract 2 from both sides

5x = 15

Divide by 5

X = 3

Check your answer

5(3) +2 = 17

15 + 2 = 17

17 = 17

It is correct!

7 0

3 years ago

I need help on 18, thank you!

adelina 88 [10]

I think the answers are: a = 60°, b = 45°, c = 36°.

5 0

3 years ago

The triangle shown below has an area of 16 units^2<br> Find x.

Oduvanchick [21]

Answer:

8 units squared

Step-by-step explanation:

Here's the formula of a triangle

base*height divided by 2

So, we know that the base is 4.

We have to work backwards.

16*2 is 32

32 divided by 4 is 8.

Now let's see

8*4 is 32 divided by 2 is 16!

Hope you understand :)

4 0

3 years ago

Read 2 more answers