Thread: 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

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.

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

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.

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.

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.

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

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.

Please show all your work and say where you get stuck.