Find the exact coordinates of the centroid for the region bounded by the curves y = x, y = 1/x, y = 0, and x = 2

Witch represents the inverse of the function f(x)=1/4x-12

What is the length of the segment, endpoints of which are intersections of parabolas y=x2? 11 4 x? 7 4 and y=? 7 8 x2+x+ 31 8 ?

What ia the sum if the first 7 terms of the geometric series