Hey, thanks tiny-tim for your time and reply :), since I posted this I've had a good attempt at a solution... Let me know what you think perhaps?
(x+40.5)^2 + (y+1.5)^2 = (405/2)^0.5
I did this, as you said, by completing the square:
i worked with this equation: x^2 + 81x + y^2 + 3y + 1440 =...
Hey guys, this is my problem:
find the cartesian equation of the locus:
|z-12i|/|z+36|=3
So far I've got here:
introduce z=x+iy then collect terms gives:
√(x2+(y-12)2)=3√((x+36)2+y2)
Squaring both sides I get:
x2+(y-12)2=9(x+36)2+9y2
This is where I am stumped... I've...
I get where you have your limits by maximising sin in the range of 0-pi, giving r^2= 2 or 3... I've never done cylindrical coordinates before? We've never encountered them in lessons yet. Worrying
I am asked to consider the following graph:
r2=a+sin(θ), where a=2
I have a picture of this plot, which I have attached,
We are asked to find the area of the upper 'cresent' of the curve, contained at the top
How would I go about calculating that?
I've found that if I plot...
I do get it now, i was just expecting it to be more rigorous that's all, as the other stuff I've been looking at is induction etc, i was expecting something along the same lines, that's all. I can do induction reasonably well etc. however, thanks for your time =)
Thanks DonAntonio and mathman for your replies and help. I think I get where you're coming from, but I'm not the best Mathematician in the world (Below 1st year university level Id say)...
A little more explanation/algebra would be great...
I was thinking, that, if I got my inequalities as i...
Not sure if this is the correct place to put this question, but here it goes (sorry about the vague title, but not sure how to describe it):
We are asked to consider two rational fractoins, for example:
a/b & x/y
We are now asked to do the following:
(a + x)/(b + y)
Now, we are...