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3 years ago

Given the following formula,solve for tv=u+at

Mathematics

1 answer:

ad-work [718]3 years ago

3 0

Answer:

t=v-u/a

Step-by-step explanation:

t= v-u/a

we must move u to the other side and divide over a

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Use integration by parts to find the integrals in Exercise. ∫^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

If the unit selling price 2.50 and the unit cost 1.00 what action is needed to maintain Thr gross margin percentage when unit co

xxMikexx [17]

Raise the unit selling price .25 cents from $2.50 to $2.75

6 0

3 years ago

Which test point holds true for y − 2x ≤ 1?

Ira Lisetskai [31]

2 - 2 * 0 ≤ 1
2 ≤ 1 

4 - 2 * (-2) ≤ 1 
8 ≤ 1 

4 - 2 * (1) ≤ 1 
2 ≤ 1 

0 - 2 * 5 ≤ 1 
-10 ≤ 1 
(TRUE

3 0

3 years ago

Tanya writes the number 7.05. Bryce says he can write a different number using the same digits. Is he correct?

Bad White [126]

Yes, actually a couple:
different number with same digits (ex):

7.05
7.50
5.07
5.70
0.57
0.75
705
70.5
75
750
570

etc

hope this helps

8 0

3 years ago

Evan typed 72 pages of notes one day. He typed 1 2 of the pages in the morning and 1 3 of the pages in the afternoon. He typed t

Korolek [52]

Answer:

60 pages

Step-by-step explanation:

Evan types a total of 72 pages a day.

In the morning he typed 1/2 pages or 72/2 = 36 pages.

In the afternoon he typed 1/3 pages or 72/3 = 24 pages.

Together, he typed 36 + 24 = 60 pages in the morning and afternoon.

7 0

3 years ago