Question 41
Compute the coordinates of the intersection points of the graphs of the function $f(x)=x^{4}-2 x^{3}-7 x+2$ and the function $g(x)=3 x^{3}-8 x^{2}-1$. Write down the slope of the line through these two intersection points. Compute the tangent of the smaller of the angles between this line and the line with equation $3 x+2 y-11=0$.