Student A starts with $100 in the bank and makes $5 a day. Student B starts with $50 and makes $7 a day. Assuming the students save their money, when will they have the same amount of money ?
<em>Hey</em><em>!</em><em>!</em><em>!</em>
<em>In</em><em> </em><em>ques</em><em>tion</em><em> </em><em>no</em><em>.</em><em>4</em><em>,</em><em> </em><em>we</em><em> </em><em>have</em><em> </em><em>to </em><em><u>subtract</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>equation</u></em><em><u>.</u></em>
<em>In</em><em> </em><em>ques</em><em>tion</em><em> </em><em>no</em><em>.</em><em>5</em><em> </em><em>we</em><em> </em><em>have</em><em> </em><em>to</em><em><u> </u></em><em><u>add</u></em><em><u> </u></em><em><u>the </u></em><em><u>equation</u></em><em><u>.</u></em>
<em>Hope </em><em>it</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>you</em><em>.</em><em>.</em><em>.</em>
<h3>
<em><u>Have</u></em><em><u> </u></em><em><u>a</u></em><em><u> </u></em><em><u>great</u></em><em><u> </u></em><em><u>day</u></em></h3>
Answer: 
This is the same as writing 7*Ln( e^(2x) + 10) + C
=======================================================
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:
The answer is 2
Step-by-step explanation:
Rate of change of function is given by :

For function y = 6,
rate of change =

because the function is independent of x.
For function y = 2·x + 7,
rate of change =

So, the rate of change of 2 is greater than rate of change of function 1 by 2 - 0 = 2.
B !!!!!!!!!!!!!!!!!!!!!!!!!