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user100 [1]
2 years ago
13

Evaluate intergral 10xe exponent 10x dx​

Mathematics
2 answers:
Aleks [24]2 years ago
7 0

Answer:

((10x-1)e^(10x))/10 + C

Step-by-step explanation:

10 integral (xe^(10x)) dx

Integrate by parts f=x f'=1 / g'=e^(10x) g= (e^(10x))/10

(xe^(10x)/10) - integral (e^(10x)/10) dx

Solving integral (e^(10x)/10) dx :

1/100 integral (e^u) du

= e^u/1000 = e^(10x)/100

(xe^(10x)/10)-(e^(10x)/100)

10 integral (xe^(10x)) dx

= xe^(10x)- (e^(10x))/10

= xe^10x - (e^(10x))/10 + C

= ((10x-1)e^(10x))/10 + C

Shtirlitz [24]2 years ago
5 0

Answer:

for this type of question, integral by parts should be used . This involves using the formula for intregation by parts:

intudv=uv-intvdu.  

lets first break apart the x and e10x into two parts - "u" and "v"

where u = x.

however, we need to find the value of v. in order to do this, we can integrate dv/dx in order to get to v.  

the value of dv/dx is : e10x

 

u = x             dv/dx = e10x

 

as seen in the formula, you need to have a value for u, dv, v and du.  

therefore in order to get du you must differentiate u:

u = x    

du/dx = 1

du = 1dx = dx

du = dx

 

in order to get v you need to integrate dv/dx:

\displaystyle \inte10x dx = 1/10 x10x

now that we have both parts, we can put this back into the formula.  

 

intudv=uv-intvdu.  

 

\displaystyle \intxe10x = x * 1/10e10x  - \displaystyle \int1/10e10x dx

Step-by-step explanation:

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3264 and 16,415

Step-by-step explanation:

136 x 24= 3264

245 x 67 = 16,415

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2 years ago
Camila Cabello wants to order cheesecakes over the internet. Each cheesecake costs $15.99 and shipping for the entire order is
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Answer:

she can purchase 5 cheesecakes

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15.99*5=79.95

if we add 9.99 for the shipping of thw whole order

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6 0
2 years ago
0=-20.5x+16.35x-0.1245
Pachacha [2.7K]

The value of x in the given equation -20.5x+16.35x -0.1245 = 0\\ is 0.03

<u>Step-by-step explanation:</u>

The given equation is that -20.5x+16.35x -0.1245 = 0\\

<u>The steps to be followed to solve the equation are :</u>

Add the like terms together to reduce the equation in a simplified form.

Here, there are two x terms and they must be reduced to a single term.

For this, add the both terms together so that the equation is simplified into one x term and a constant term.

⇒ (-20.5x+16.35x) - 0.1245 = 0

⇒ 4.15x-0.1245 = 0

To eliminate the constant term on the left side of the equation, add 0.1245 on both sides.

⇒ 4.15x -0.1245+0.1245 = 0.1245

⇒ 4.15x = 0.1245

Now, the equation is further simplified by dividing 4.15 on both sides,

⇒ 4.15x / 4.15 = 0.1245/4.15

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Therefore, the value of x is 0.03

7 0
3 years ago
(9 – 23) + |47 – 16|
laiz [17]

You answer is: 17

Or otherwise B. is your correct answer.

(9 - 23) = -(14)

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5 0
3 years ago
These cylinders are similar. Find the volume of
Basile [38]

Answer:

V_s=85\ cm^3

Step-by-step explanation:

Let V_s\ and\ V_b be the volumes of the smaller and bigger cylinder.

The formula for the volume of a cylinder is given by :

V=\pi r^2 h

As the two triangles are similar, the cube of their ratio would equal the ratio of their volume i.e.

\dfrac{V_s}{V_b}=(\dfrac{h_s}{h_b})^3\\\\\dfrac{V_s}{V_b}=(\dfrac{3}{5})^3\\\\\dfrac{V_s}{V_b}=0.216\\\\V_s=393\times 0.216\\\\V_s=84.8\\\\or\\\\V=85\ cm^3

So, the volume of the smaller cylinder is equal to 85\ cm^3.

3 0
2 years ago
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