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Andreas93 [3]
2 years ago
13

Someone help worth 5 points :( help?

Mathematics
2 answers:
Tcecarenko [31]2 years ago
5 0

Answer:

29

Step-by-step explanation:

harkovskaia [24]2 years ago
4 0

Answer:

29

Step-by-step explanation:

Since 3x and 87 are the same length, all we need to do is 87 divided by 3.

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Find the indefinite integral using the substitution provided.
Nady [450]

Answer:  7\text{Ln}\left(e^{2x}+10\right)+C

This is the same as writing 7*Ln( e^(2x) + 10) + C

=======================================================

Explanation:

Start with the equation u = e^{2x}+10

Apply the derivative and multiply both sides by 7 like so

u = e^{2x}+10\\\\\frac{du}{dx} = 2e^{2x}\\\\7\frac{du}{dx} = 7*2e^{2x}\\\\7\frac{du}{dx} = 14e^{2x}\\\\7du = 14e^{2x}dx\\\\

The "multiply both sides by 7" operation was done to turn the 2e^(2x) into 14e^(2x)

This way we can do the following substitutions:

\displaystyle \int \frac{14e^{2x}}{e^{2x}+10}dx\\\\\\\displaystyle \int \frac{1}{e^{2x}+10}14e^{2x}dx\\\\\\\displaystyle \int \frac{1}{u}7du\\\\\\\displaystyle 7\int \frac{1}{u}du\\\\\\

Integrating leads to

\displaystyle 7\int \frac{1}{u}du\\\\\\7\text{Ln}\left(u\right)+C\\\\\\7\text{Ln}\left(e^{2x}+10\right)+C\\\\\\

Be sure to replace 'u' with e^(2x)+10 since it's likely your teacher wants a function in terms of x. Also, do not forget to have the plus C at the end. This is a common mistake many students forget to do.

To verify the answer, you can apply the derivative to it and you should get back to the original integrand of \frac{14e^{2x}}{e^{2x}+10}

4 0
2 years ago
Please help!! ill give BRAINLIEST!!!
docker41 [41]
1. Rhombus
2. Rectangle
3. Trapezoid
4. False
5. True
6. False
7. True
8. True
7 0
3 years ago
Identify the terms and like terms in the question 3n+7-n-3
Temka [501]

Answer:

like terms: (3n,-n),(7,-3)

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
the value of a car depreciates by 18% per year work out the current value of a car brought 4 years ago
svlad2 [7]
5600
20000*.18= 3600
3600*4= 14400
14400- 20000= 5600
7 0
3 years ago
Please help!posted picture of question
DerKrebs [107]
The question states the the graph is non-vertical. This mean the graph is either rise of falling. This also means that the value of function is not same at more than one value of x.

Another hint the question gives us is that the graph is a straight line. So this means we have a straight line rising or falling with some angle or a slope. This signifies a linear function. 

It would have been a non-function if the line was a vertical one.
It would have been a non-linear function if the line was not straight. 
The graph of exponential function is not straight. 

Hence the answer to this question is Linear Function
6 0
3 years ago
Read 2 more answers
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