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icang [17]
3 years ago
8

Which figured demonstrates a translation?

Mathematics
1 answer:
natulia [17]3 years ago
8 0

the one where they are diagonal from one another


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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
True or False, if two triangles can be moved so that they line up perfectly , they are congruent
Lyrx [107]

True.


If the two triangles line up perfectly they are congruent.


Hope this helps!

7 0
3 years ago
Andre received $60 for his birthday and put it in his piggy bank. Each week, he puts 3 more dollars in his bank. The amount of m
My name is Ann [436]

96 → B

substitute w = 12 into the equation D = 3w + 60

D = (3 × 12 ) + 60 = 36 + 60 = 96


8 0
3 years ago
Plz do this ill mark brainly and its worth 15 points plz​
Vlada [557]

Answer:

Step-by-step explanation:

9. discount is 9 dollars. sale price is 36 dollars

10. discount is 135 dollars sale price is 315

11. discount is 7.20 dollars, sale price is 41.80

12. discount is 37.50. sale price is 112.50

13. discount is 590. sale price is 870

14. discount is 42. sales price is 42

15. discount is 32.50. sales price is 292.50

16. discount is 29.75. sales price is 56.25

17. The similarities is that there's a difference in the original price, usually in a percentage. The difference is that a markup is a increase whereas a discount is a decrease

3 0
3 years ago
Read 2 more answers
Question 10(Multiple Choice Worth 5 points)
MAVERICK [17]
So u have-27, positive 36
4 0
3 years ago
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