The hypotenuse of a right triangle has one end at the origin and one end on the curve
y = x^(1/8)

http://www.webassign.net/userimages/Models006.JPG?db=v4net&id=155909

Express the area of the triangle as a function of x.

Question

The hypotenuse of a right triangle has one end at the origin and one end on the curve 
y = x^(1/8)

http://www.webassign.net/userimages/Models006.JPG?db=v4net&id=155909

Express the area of the triangle as a function of x.

anonymous · Answer

let a be the end at the origin and b, the end on y^8=x. Area of triangle will be the whole region bounded by the curve and the line y=0 all minus the area bounded by the curve and the line y=xf(b)/b