The values go up by 2. So your answer would be 20.
3 divided by 8 and 17 divided by 30
I don't agree with his statement. The first part says that he was paid $9.20 for the first 40 hours so we multiply them (9.20 x 40) to get 368. Then it says that he was paid 1.5 times that rate for every hour after that. The rate is "$9.20 per hour" so you find 1.5 times $9.20. You multiply $9.20 by 1.5 to get $13.80 per hour. Now you have to find how much money he got after the initial 40 hours. It says he worked 42.25 hours, and we already figured out how much money he got the first 40 hours ($368). So for the remaining 2.25 hours, Mr.Evens is paid $13.80 an hour. So we multiply 2.25 by $13.80 to get $31.05. To find out the total amount of money accumulated, we add. $368 + $31.05 is $399.05 which means that Mr.Evens is not correct. Hope this helped :]
(a) The differential equation is separable, so we separate the variables and integrate:



When x = 0, we have y = 2, so we solve for the constant C :

Then the particular solution to the DE is

We can go on to solve explicitly for y in terms of x :

(b) The curves y = x² and y = 2x - x² intersect for

and the bounded region is the set

The area of this region is
