Recent content by Squiller

Homework Statement f(x) = 4x-x2 Question: Find the equations of the lines that pass through P(2,7) and are tangent to the graph of f(x). (P is not on f(x).) Thats all the problem states. Homework Equations f(x) = 4x-x2 Point (2,7) The Attempt at a Solution Ive tried...

f(x) = 4x-x2 Question: Find the equations of the lines that pass through P(2,7) and are tangent to the graph of f(x). (P is not on f(x).) Thats all the problem states. Ive tried finding f'(x) and plugging f' into the Line equation y=mx+b. y=(4-2x)x+b. Then plugging in Point P...

In order to find the equation of a line that is tangent to f(x) and goes through point P on f, you got to find the derivative of f(x) at P, but how would you go about solving a problem where you have to find the equation of a line tangent to f(x) that goes through point P, but P is NOT on the...

I can't seem to figure this out, its very simple. I am just unsure as to how to o about it. Could someone please solve it, showing the method. No calculator either. thanks Lim as x-> -2 ; (x+2) / (x3+8)

other forces are the air resistance and the gravitational pull, but why would an object travel less then 9.8 m/s/s if its in freefall ?

In science we had to build a device which, when dropped 3 stories onto cement, should not allow an egg inside inside of it to crack. One of the follow up questions says : Why should your device accelerate slightly slower than the gravitational acceleration of 9.8 m/s/s " - I can't understand why...