## Questions by Seth from West Bloomfield, MI

A curve y=f(x) defined for values of x>0 goes through the point (1,0) and is such that the slope of its tangent line at (x, f(x)) is \displaystyle \frac{8}{x^{2}} - \frac{7}{x^{7}}, for x>0...

A cylinder is inscribed in a right circular cone of height \displaystyle 11 inches and radius (at the base) equal to \displaystyle 6 inches. What are the dimensions of such a cylinder that has maximum...