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4 years ago

Need help with number 2 please

Mathematics

1 answer:

miss Akunina [59]4 years ago

7 0

A the answer is 9.76
B: he paid with 10 dollar bill you have to subtract 10.00-9.76 he received 24 cents back!

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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

Ok i have to identify the slope and the y intercept

LuckyWell [14K]

Answer:

m=2

b=-3

Step-by-step explanation:

standard form of the slope equation

y=mx+b

m=2

b=-3

8 0

3 years ago

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vlada-n [284]

Volume of the cylinder is 480 cm³ (rounded off to the nearest tenth)

Step-by-step explanation:

Step 1: Find volume of the cylinder when radius = 4 cm and height = 9.5 cm

Volume = πr²h = 3.14 × 4² × 9.5

= 3.14 × 16 × 9.5 = 477.28 cm³ ≈ 480 cm³

3 0

3 years ago

Substitution for -3x+y=-9

shtirl [24]

Answer:

y=3x-9

Step-by-step explanation:

4 0

3 years ago

Choose the verbal descriptions that would best be modeled by polynomial functions. (Able to pick more than one)

mafiozo [28]

Answer:

i think it is AAAAA

Step-by-step explanation:

6 0

4 years ago

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