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jimen113
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[SOLVED] area problem
find c>0 such that the area of the region enclosed by the parabolas y=x^2-c^2 and y=c^2-x^2 is 180.
Do I need to use the formula for the area of the circle?
I graphed both functions and I can clearly see that they are symmetrical parabolas one upward and one downward parabolas.
Then, I tried to work backwards and find the integral. [tex]\int[/tex](2x[tex]^{}2[/tex]-2c[tex]^{}2[/tex])dx
Homework Statement
find c>0 such that the area of the region enclosed by the parabolas y=x^2-c^2 and y=c^2-x^2 is 180.
Homework Equations
Do I need to use the formula for the area of the circle?
The Attempt at a Solution
I graphed both functions and I can clearly see that they are symmetrical parabolas one upward and one downward parabolas.
Then, I tried to work backwards and find the integral. [tex]\int[/tex](2x[tex]^{}2[/tex]-2c[tex]^{}2[/tex])dx