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seropon [69]
3 years ago
11

Pls help ASAP I will give brainless ​

Mathematics
1 answer:
allsm [11]3 years ago
4 0

Answer:

Step-by-step explanation:

1st one

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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
3 years ago
Two apples and three peaches cost $1.65. three apples and two peaches cost $1.60. what is the cost of one peach
marta [7]
Apples = $.30
Peaches = $.60

You can get this by setting up a system of equations that looks like this. 

2x + 3y = 1.65
3x + 2y = 1.60

Where x is the amount of apples and y is the number of peaches. Then you can solve using any of the methods (I would suggest elimination for ease). 
7 0
3 years ago
The 2 in 21 represents how many times the value of the 2 in 82?
anyanavicka [17]

Answer:

10 times as much

Step-by-step explanation:

the 2 in 82 is worth 2 ones while the 2 in 21 is worth 10 ones

4 0
2 years ago
Read 2 more answers
The ratio of the number of peas Julia had to the number of peas Vlada had was 3:2. After Julia gave Vlada 15 peas, she still had
inn [45]
J:V = 3:2

3:2 x 40 = 120:80

J: 120-15 = 105
V:  80+15 = 95

J:V is now 105:95

The original amount of peas that Julia had at first was 120.
3 0
3 years ago
Read 2 more answers
If a rectangular prism is sliced vertically by a plane, what is the shape of the resulting two dimensional figure?
Romashka [77]
I think 2 triangular prisms.
8 0
3 years ago
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