What is the exact point of intersection of the curves f(x)=x^5-x^3 and g(x)=sin(x), when x>0? This...

What is the exact point of intersection of the curves f(x)=x^5-x^3 and g(x)=sin(x), when x>0? This is for a Calculus II Maple Lab, for the volume of revolution for x>/=0 about x=pi.

Expert Solution

This is graph of both functions showing the point of intersection of both graphs.

Green represents, y=x^5-x^3 ; and

Violet represents, y=sin(x) ;

So Exact point of intersections are (1.228, 0.942) and (-1.228,-0.942) (correct upto 3 decimal place).

I prefer solving integration problems theoretically, so instead of using Maple I solved it using pen, I hope you will be satisfied with what I've done and Thanks for asking questions. Keep asking.

Colby Messinger answered 5 months ago

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