there is a line through the origin that divides the region bounded by the parabola y= 8x-2x^2 and the x-axis into two regions of equal area. What is the slope of the line?
there is a line through the origin that divides the region bounded by the parabola y= 8x-2x^2 and the x-axis into two regions of equal area. What is the slope of the line?
I can't figure it out. I don't know how to start
calculate the area in quad I bounded by the parabola and the x-axis, call that area .
let the line be
find the intersection of the line and parabola in quad I ...
x-values of intersection are and
evaluate the integral and solve for ... have fun with the algebra.