Posted by yuen on .
a curve is such that dy/dx = x^2  1
Show that no tagent to this curve is parallel to the line with equation
3x + 2y  4 = 0

calculus 
Reiny,
slope of the given line is 3/2
so x^2  1 must be equal to 3/2
x^2  1 = 3/2
x^2 = 1  3/2 = 1/2
BUT a square of a real number cannot be negative, so no solution,
so no such tangent