If F(x)=X^2-3x+7. Determine the point on the graph of F where the tagent line to the curve is horzontal. Then find the equation of this particular tangent line.
2006-07-20 14:30:58 · 9 answers · asked by Anonymous in Education & Reference ➔ Homework Help
If you are in Calculus then to find the horizontal line find the derivative and set it equal to zero.
The derivative is 2x -3, so 2x - 3 = 0 -> x = 3/2
Since the equation of any horizontal line is y = Constant
The horizontal line you are looking for is y = 3/2
If you are not in calculus find the vertex of the parabola and find the horizontal line running thought that.
The vertex is B/(-2A) or -3/(-2*1) or 3/2
The the answers the same.
2006-07-20 14:38:42 · answer #1 · answered by theFo0t 3 · 0⤊ 0⤋
Ok tangent to the curve is the derivative, and in this case the derivative must equal zero.
2x - 3 = 0
x = 1.5
the equation of the tangent line is y = 2x -3 I think
Hope this helps
2006-07-20 14:44:04 · answer #2 · answered by keats27 4 · 0⤊ 0⤋
you need to take the derivative of this equation, equal that to 0 to find your point where the tangent line id horizontal to your curve. and the formula for the equation is y=ax+b... good luck
2006-07-20 14:36:02 · answer #3 · answered by Natasha B 4 · 0⤊ 0⤋
Take the derivative and you get 2/3. You can take it from here. Just graph it.
2006-07-20 14:36:15 · answer #4 · answered by fenx 5 · 0⤊ 0⤋
I really like the answers where people try to be helpful and not just cuss or say something ignorant.
2006-07-20 14:38:07 · answer #5 · answered by Anonymous · 0⤊ 0⤋
um 3? lol
2006-07-20 14:32:42 · answer #6 · answered by Anonymous · 0⤊ 0⤋
go ask mom
2006-07-20 14:33:32 · answer #7 · answered by ricstr03 2 · 0⤊ 0⤋
do yr own f*uckin homework bi*ch
2006-07-20 14:35:03 · answer #8 · answered by Ashley h 1 · 0⤊ 0⤋
Do your own f*cking homework............
2006-07-20 14:32:37 · answer #9 · answered by Ted Hose 1 · 0⤊ 0⤋