Question

CALCULUS 2 help! IM LOST :(

Determine the intersection points of y =-x^2+9 and y = 5. Then find the area bounded by this parabola and this line.

Answer 1

1/ intersection points: let them equal, solve for x, you will have x = \(\pm 2\)
so, the intersection points are the limit of the integral
2/ the area will be \[\int_{-2}^2 (-x^2+9-5)dx =\int_{-2}^2 (-x^2+4)dx \] =.....
I think you are OK, now