The line y=mx+b intersects the parabola y=x^2 at two points A and B. Find the point P on arc AOB that maximizes the area of triangle APB.
I want to see how you guys solve this problem. I wrote an equation for shortest distance between a point on the parabola and the line, then tried to...
Hi everyone.
I tried solving these questions but can't seems to get anywhere. I am not used to questions like these specially word problems. Sorry if this is the wrong section.
Question 1:
The receiver of the satellite dish is at the focus of the parabola dish. The focus is 80 cm from the...
Find the vertex, axis of symmetry, focus, and directrix of each parabola. Indicate whether the vertex is a max. or min. point.
Problem 45.
x=4y^2 - 6y + 15
Each pair of the following three lines cross at a point. Those points are the y-intercept, one of the x-intercepts, and the vertex of a parabola. Can you please explain to me how to find an equation for the parabola? And the other x- intercept?
y+8x=32
y+5x=32
y+3x=12
I have been trying...
I'm having problems solving this particular question
Using matrix calculation to find a general solution for a parabola that passes through points (x1,y1), (x2, y2), (x3, y3).
First I setted my equations
ax1^2+bx2+c=y1
ax2^2+bx2+c=y2
ax3^2+bx2+c=y3
But I've no idea on how I...
Hi,
I was giving a pub quiz type quesstion the other day, which I managed to solve without the use of formulae/mathematics, but it got me thinking about how to solve it mathematically too.
Imagine a chain stretched between two posts, that then droops in the middle, and forms a natural...
I've just finished my pure h/work but the final question has me a bit baffled because in lectures we've only been dealing with parabols where the focus is like (a,0) and the directrix is just y=k where k is a real number. However, for this question we've to find the eqt of the parabola whose...
I'm missing a step somewhere.
Without a calculator, graph y=3x^2-16x-12 by factoring and plotting zeros.
I have gotten as far as (x=-2/3) & (x=6) and know it's a parabola and pointing up because it has the positive x^2 so the graphing is easy enough, except...
The botb says the y-int is...
Hey!
I know that the horizonal and horizontal motion are unrelated, and the velocity remains the same (if there is no air resistance, friction etc)- this correlates with the whole 'shooting a gun and dropping a bullet at the same time, which one will hit the ground first? They will fall at...
Hey! I know that the horizonal and horizontal motion are unrelated, and the velocity remains the same (if there is no air resistance, friction etc)- this correlates with the whole 'shooting a gun and dropping a bullet at the same time, which one will hit the ground first? They will fall at the...
1)Find equations of both lines through point (2,-3) that are tangent to the parabola y=x^2+x.
2)The normal line to a curve c at a point Pis, by defininiton, the line that passes through p and is perpindicular to the tangent line c at P.
Where does the normal line to the parabola y=x^2-x...
find aan equation for he indicated parabola
1.focus(1,2), directrix x+y+1=0
2.vertex(2,0), directrix 2x-y=0
3.vertex(3,0), focus (0,1)
please tell me the steps how to find this 3 parabola equation...