Find the center of mass (x,y) of the region bounded by the graphs of f(x)=4-x^2 and g(x)=x+2.
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Another hint: take a triangular piece of paper. From each corner, draw a line to the middle of the opposite side. Each line will intersect at a particular point. That point is your center of mass.
First draw the curves
Then compute the intersects of the 2 curves by solving Spoiler: r \:x=1" alt="(x-1)(x+2)=0 \implies x=-2 \r \:x=1" />
The coordinates of the center of mass G are given by the formula
You can see that the area is defined by :
x between -2 and 1 ; y between (x+2) and 4-x² (see green line)
thanks but i dont understand double integers
Originally Posted by mikegar813 thanks but i dont understand double integers You mean that you haven't studied double integrals ?
we have not learned double interals sorry
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