Answer: 
This is the same as writing 7*Ln( e^(2x) + 10) + C
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Explanation:
Start with the equation 
Apply the derivative and multiply both sides by 7 like so

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:

Integrating leads to

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 
Answer:
No
Step-by-step explanation:
Given that:
Total number of cups of trail mix available for camping trip = 
Amount of one serving contains =
cups
Number of people at the trip = 12
To find:
Whether each person will be able to get the servings?
Solution:
Here, we can find the total number of servings by dividing the total number of cups of trail mix with the amount of one serving.
First of all, let us convert the mixed fraction into fractional number.

Therefore, total number of servings available as per the given quantities:

So, With this type of servings Zoey will be able to serve only 8 people.
Therefore, there is not enough servings.
Step-by-step explanation:
Number of red marbles in bag = r. b = 10-rProbability of first marble being red: r/10Second marble being red: (r-1)/9total probability = 2/15 = (r-1)*r/90r = 4b = 6