Question

The line y=-2x+b is tangent to the curve y= 1/3x^2-4x-3. Determine b.

Answer 1

take the derivative

Answer 2

I would, but this is precalc

Answer 3

oh oops then it is much harder

Answer 4

:(

Answer 5

you set the two expression equal

Answer 6

you will get a quadratic equation somehow
if it is tangent, then the quadratic equation must have only one solution

Answer 7

that means the discriminant must be equal to zero,
from that you can solve for b

Answer 8

ohhh thanks

Answer 9

yw
if the latex was working maybe i could work this out, but i can't do it without writing it
hope the instructions are more or less clear