Answer:
2.44
Step-by-step explanation:
12 1/2 / 5 =2.44
Unfortunately, Nicholas' steps in simplifying the fraction is not reflected in the question. However, the general idea of the simplifying fraction is to find the greatest common factor (GCF) of both the numerator and the denominator. In this case, the GCF is 10. Then, divide both numbers by the GCF. The answer for this item should be 2/3.
Because he always felt jumpy
(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: This is correct already.
Step-by-step explanation: