I need some help, this is from a non-calculator wkst.
1) Find the equations of both lines through (2, -3) that are tangent to the parabola
let be a point on the tangent line
then the slope between and is given by
but this formula for the slope must be equal to the formula for the derivative. since the derivative also gives the slope of the tangent line. so that
solving , we find the solutions to be or
so, the slopes of our two tangent lines are given by and
thus, our two lines are:
(1) the line passing through (2,-3) with slope 11
and
(2) the line passing through (2,-3) with slope -1
i leave it to you to find these lines
please, no bumping. it is against the rulesUrgent, please help.
also, do you go to CCNY?