(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

Answer:
3
Step-by-step explanation:
X goes first
Answer: 50
Step-by-step explanation:
Step 1: 60% = .60
Step 2: 30 = .60Y
Step 3: Divide both sides of the equation by .30 to isolate the variable Y.
30/.60 = .60/.60Y
50=Y
Therefore, 30 is 60% of 50.
Answer:
g(4)=19
Step-by-step explanation:
Plug 4 in for x:
4^2+3=16+3=19
Therefore, g(4)=19
Pick any number. Write it in place of 'x'. If the result is a true statement, then your number is a solution of the equation. Do it again with a different number. Then do it again. Does it matter what your number is ?