Inequalities question: Sketch the region of the in the x-y plane within which the inequalities y(x-2)^2 and y

Question

Inequalities question: Sketch the region of the in the x-y plane within which the inequalities y>(x-2)^2 and y<x are satisfied. Determine the area of the region.

campbell_st · Answer

just use this site, it makes life easy to graph things https://www.desmos.com/calculator

campbell_st · Answer

so then find the points of intersection a and b

then its 

$$\int\limits_{a}^{b} (x) dx - \int\limits_{a}^{b} (x^2) dx$$

hope it helps

anonymous · Answer

i have done the graph but i don't know the limits of integration

anonymous · Answer

as its two inequalities how should i find the boundaries?

anonymous · Answer

or what is a and b in the equation?

campbell_st · Answer

so what values of x do the 2 curves intersect at..?

campbell_st · Answer

you should be able to tell that from the graph

anonymous · Answer

i have solved it as an equation y=x and y=(x-2)^2 and the answer i get is -1 and 4 which i put as the boundaries

campbell_st · Answer

wow... I would have thought the curves intersect at x = 1 and x = 4

anonymous · Answer

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