Hi guys, I'm having trouble with this word problem. I can figure out how to find the area (part b) once I determine what interval I'm integrating over, but I'm not sure about how to find the interval, or find k where the parabola is tangent to y1.
Thanks.
1. If the curves of and are tangent then they must have the same gradient:
and
2. Taking the right branch of you have to solve for x:
3. Therefore the tangent point is
4. Now determine the interval of the integration part (I would use some symmetry properties of the curves to simplify the calculations)