We were working on finding the area between these three functions in class:
$y=\sqrt{32x}$ $y=4-6x$ $y=x^2$ My question is, is it possible to rotate the coordinate plane so that the x axis matches the linear line of y=4-6x? Would doing this make the integration more or less difficult?
The reason I ask is that you can do something "similar" to this when analyzing the forces acting on an object at rest on an inclined plane.