Kris and Julio played a card game.Together, they scored 36 points in one game. Kris scored 2 times as many points as Julio. How
2 answers:
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(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