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3 years ago

Can anyone help plz and thx

Mathematics

1 answer:

mina [271]3 years ago

7 0

It is 3y2-10y-8
hope this helps :)

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Use integration by parts to find the integrals in Exercise.<br> ∫^3_0 3-x/3e^x dx.

Viefleur [7K]

Answer:

8.733046.

Step-by-step explanation:

We have been given a definite integral $\int _0^3\:3-\frac{x}{3e^x}dx$ . We are asked to find the value of the given integral using integration by parts.

Using sum rule of integrals, we will get:

$\int _0^3\:3dx-\int _0^3\frac{x}{3e^x}dx$

We will use Integration by parts formula to solve our given problem.

$\int\ vdv=uv-\int\ vdu$

Let $u=x$ and $v'=\frac{1}{e^x}$ .

Now, we need to find du and v using these values as shown below:

$\frac{du}{dx}=\frac{d}{dx}(x)$

$\frac{du}{dx}=1$

$du=1dx$

$du=dx$

$v'=\frac{1}{e^x}$

$v=-\frac{1}{e^x}$

Substituting our given values in integration by parts formula, we will get:

$\frac{1}{3}\int _0^3\frac{x}{e^x}dx=\frac{1}{3}(x*(-\frac{1}{e^x})-\int _0^3(-\frac{1}{e^x})dx)$

$\frac{1}{3}\int _0^3\frac{x}{e^x}dx=\frac{1}{3}(-\frac{x}{e^x}- (\frac{1}{e^x}))$

$\int _0^3\:3dx-\int _0^3\frac{x}{3e^x}dx=3x-\frac{1}{3}(-\frac{x}{e^x}- (\frac{1}{e^x}))$

Compute the boundaries:

$3(3)-\frac{1}{3}(-\frac{3}{e^3}- (\frac{1}{e^3}))=9+\frac{4}{3e^3}=9.06638$

$3(0)-\frac{1}{3}(-\frac{0}{e^0}- (\frac{1}{e^0}))=0-(-\frac{1}{3})=\frac{1}{3}$

$9.06638-\frac{1}{3}=8.733046$

Therefore, the value of the given integral would be 8.733046.

6 0

3 years ago

Which operation would help solve for w?

Vilka [71]

Answer:

B. Divide each side by 8

Step-by-step explanation:

Here is how:

8w ÷ 8 = 72 ÷ 8

w = 72 ÷ 8

w = 9

6 0

3 years ago

What are the coordinates of A', the image of A(-3, 4), after a rotation of 180 about the 10. origin? (4, -3) B (-4, -3) C (3, 4)

nataly862011 [7]

Answer:

( 4 , -3)

Step-by-step explanation:

4 0

2 years ago

Do this yaayayyayaya brainliest for all thanks so much!!

Ugo [173]

Answer: -5 - (-10 )= 5

Step-by-step explanation:

The arrows on the number line stops at -5 and -10 so you subtract -5 minus -10 and get your anwser 5

3 0

3 years ago

A bucket full of milk is 80cl,how many litres are in 15 of such

PIT_PIT [208]

Answer:

1.2 liters

Step-by-step explanation:

1 bucket has a volume of 80 cL.

15 buckets have a volume of 15 * 80 cL = 120 cL

1 L = 100 cL

120 cL * (1 L)/(100 cL) = 1.2 L

5 0

3 years ago