1. ## Finding the limit

Hello,
This is a question from a past exam. Any help would be appreciated. What does x(t) and y(t) mean here?
Thanks

2. Originally Posted by igodspeed
Hello,
This is a question from a past exam. Any help would be appreciated. What does x(t) and y(t) mean here?
Thanks
x(t) means that x is a function of t. Ditto y(t). They are parametric equations of a curve.

3. If i had to solve just the first part, how would i solve it.

4. Originally Posted by igodspeed
I don't get why did you say it is wrong? If i had to solve just this, how would i solve it.
Substitute $\displaystyle y = mx$ and try taking the limit as x approaches 0.

5. What i did was i substituted y for x and so i got x to the power of 4 and on the bottom i have x squared and x to 6 then when i find the limit, the ans is zero. is this wrong? then on the second one i did the same for y as x=y.

6. Originally Posted by igodspeed
perhaps. But what i did was i substituted y for x and so i got x to the power of 4 and on the bottom i have x squared and x to 6 then when i find the limit, the ans is zero. is this wrong? then on the second one i did the same for y as x=y.
The question says for ALL lines passing through the origin. You did it for exactly two such lines.

7. ok i solved it. now i got the value for m and n so could can i write it parametically? 2rd question?

8. Originally Posted by igodspeed
ok i solved it. now i got the value for m and n so could can i write it parametically? 2rd question?
What have you done? Have you substituted the expressions for x and y into the function? Simplified? etc.