Ok thanks adobe. I have managed to prove that the line FN and PA are perpendicular.
What is the property of the parabola that you mention in the 2nd paragraph? I have barely done any work on this type of stuff in the past so I am not sure about it. Is it that the line FP is always the same...
Firstly note that there are 2 terms. 18t^2 and -2. These are both divisible by 2, so take a 2 to the front of the brackets and write it like:
2(9t^2 -1)
This will not factorise any further.
You can write this as x(3t-2s)+5y(3t-2s) by simply taking the x and y terms out of each individual term...
Can somebody please help me with this question. I keep thinking I have made some progress on it and it turns out to be totally useless work. Spent almost 2 days struggling over this problem and 2 others and they have to be done for Monday. I have scanned in the question below...
Here's the question:
Consider the equation:
Ax^2+Cy^2+Dx+Ey+F=0
Consider the cases AC>0, AC=0 and AC<0 and show that they lead to an ellipse, parabola and hyperbola respectively, except for certain degenerate cases. Discuss these degenerate cases and the curves that arise from them
Don't...
I don't see how you have come to this conclusion.Or are you just trying to say that for it to work those angles must be equal but you have not yet proved it?
Again, are you just saying that this must be true (in which case I understand why that is), or are you trying to claim that you have...
I'm hopelessly stuck on this question. Any help will be greatly appreciated.
Prove that if we have a parabolic mirror with focus at F and axis of symmetry the x-axis, then a light ray emmited from F will be reflected parallel to the x-axis.
To prove this consider the parabola y^2=4px (where...
Really struggling with this question on my homework, can anybody help out? According to google the answer is 4.81047738 but I need to know how to get there.
Thanks for your help,
Pete.