how do i find the intersections of the functions f(x)=e^(-x/2) and g(x)=1+sin(2x)?

Question

anonymous · Answer

Set the two functions equal to each other and solve for the variable to find that particular intersection point. For this one, it might be easier to do with a graphing calculator and using the "Intersect" function.

anonymous · Answer

if you set them equal and try to solve you bury the variable in the second function behing more functions making even more difficult. If I use the graphing calculator method will it give me an accurate enough interval for an integral?

anonymous · Answer

Yes, using a graphing calculator to find the intersection point, and keeping about 3 or 4 decimal places, is usually enough to carry out definite integrals. That's actually how they'd expect you do to a problem like this on a real calculus exam.

anonymous · Answer

okay i was just over worried about being precise i guess