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Sedaia [141]
3 years ago
14

Can someone help me?It's urgent and thank you!

Mathematics
1 answer:
torisob [31]3 years ago
3 0

Answer:

x = 4 is the answer

PLease give a brainliest

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Find the indefinite integral. (Use C for the constant of integration.) <br> e2x 25 e4x dx.
Sladkaya [172]

Answer:

The solution is  \frac{1}{10} * tan^{-1}[\frac{e^{2x}}{5} ] +  C

Step-by-step explanation:

From the question

    The function given is  f(x) =  \frac{e^{2x}}{ 25 + e^{4x}} dx

The  indefinite integral is  mathematically represented as

          \int\limits  {\frac{e^{2x}}{ 25 + e^{4x}}} \, dx

Now  let  e^{2x} =  u

=>   \frac{du}{dx} 2e^{2x}

=>   2 e^{2x}dx =  du

So

\int\limits  {\frac{e^{2x}}{ 25 + e^{4x}}} \, dx =  \int\limits  {\frac{1}{ 2(25 + u^2)} } \, du

= \frac{1}{2} \int\limits  {\frac{1}{ 25 + u^2)} } \, du

=  \frac{1}{2} \int\limits  {\frac{1}{ 5^2 + u^2)} } \, du

= \frac{1}{2} \frac{tan^{-1} [\frac{u}{5} ]}{5}  +  C

Now substituting for  u

\frac{1}{10} * tan^{-1}[\frac{e^{2x}}{5} ] +  C

3 0
3 years ago
Factor 3x^3 - 15x^2 + 18x.
Usimov [2.4K]

Step-by-step explanation:

3 x^3-15x^2+18x 3(x^3-5x^2+6x)

8 0
3 years ago
X^2+2x+9=(x+1)^2+n What is n? ​
Sav [38]

Answer:

I believe that the answer is 'n=8'.

5 0
3 years ago
Read the analogy below. simile : figurative language :: isosceles : triangle what type of analogy is this?
Lena [83]
1) The set of words represented in the first task is definitely ''<span>member and class '' type of analogy. That's pretty easy, it reminds of definitions  : simile is one of type of the figurative language and </span><span>isosceles is one of the types of triangles.

2) What about the next set, I am pretty sure that the gap should be filled with </span>jaywalking : offense :: bottle : container. I think that these words represent consequences, so jaywalking soneer or later will be spotted and it would have become an offence, and bottle will spent the rest of its life in the container.
<span>
Hope that helps!</span>
3 0
3 years ago
Use IDEAL to solve the following problems (WORTH 50 POINTS)
Dima020 [189]
So pythagrorean theorem is the ideal way and easiest way to solve this

a^2+b^2=c^2

8.5^2+11^2=x^2
72.25+121=193.25
square root of 193.25=13.9014 or 13.9 in


9.5^2+15^2=x^2
90.25+225=315.25
square root of 315.25=17.7553 or 17.8 ft
8 0
4 years ago
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