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3 years ago

Function or not a function?

Mathematics

1 answer:

elixir [45]3 years ago

4 0

yo no se ok yo no se solamente qiero puntos

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Find the integral, using techniques from this or the previous chapter.<br> ∫x(8-x)3/2 dx

Soloha48 [4]

Answer:

$\int x(8-x)^{3/2}dx= -\frac{16}{5} (8-x)^{\frac{5}{2}} +\frac{2}{7} (8-x)^{\frac{7}{2}} +C$

Step-by-step explanation:

For this case we need to find the following integral:

$\int x(8-x)^{3/2}dx$

And for this case we can use the substitution $u = 8-x$ from here we see that $du = -dx$ , and if we solve for x we got $x = 8-u$ , so then we can rewrite the integral like this:

$\int x(8-x)^{3/2}dx= \int (8-u) u^{3/2} (-du)$

And if we distribute the exponents we have this:

$\int x(8-x)^{3/2}dx= - \int 8 u^{3/2} + \int u^{5/2} du$

Now we can do the integrals one by one:

$\int x(8-x)^{3/2}dx= -8 \frac{u^{5/2}}{\frac{5}{2}} + \frac{u^{7/2}}{\frac{7}{2}} +C$

And reordering the terms we have"

$\int x(8-x)^{3/2}dx= -\frac{16}{5} u^{\frac{5}{2}} +\frac{2}{7} u^{\frac{7}{2}} +C$

And rewriting in terms of x we got:

$\int x(8-x)^{3/2}dx= -\frac{16}{5} (8-x)^{\frac{5}{2}} +\frac{2}{7} (8-x)^{\frac{7}{2}} +C$

And that would be our final answer.

8 0

2 years ago

You flip a coin 30 times, about how many times would you expect to tails to appear?

IceJOKER [234]

Answer:15

Step-by-step explanation:

15 times because its half the time

5 0

2 years ago

Read 2 more answers

According to an article in Marketing News, fewer checks are being written at the grocery store checkout than in the past. To det

garik1379 [7]

I dont know man...im tryna answer questions so i can ask mine :(

4 0

3 years ago

Can some one answer this Answer please?

solmaris [256]

Answer
40
Explanation
It’s 40 because if you do 20/3 x 2/2 you will get 40/6

3 0

3 years ago

Can anyone help me find the area of these two pls ?

Rasek [7]

13: 72.25
14: 52
For 14, you need to split the figure into a triangle and rectangle.

5 0

2 years ago