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# stuck on parametric equations watch

1. the parametric equations of a curve are:
x=at² , y = 2at

where a is a real constant and t can take any real value
a) find the cartesian equation of the curve in the form y² = f(x)
b) sketch the curve showing the points where the curve intercepts the axes
c) find the area of the finite region bounded by the curve and the line x=4a
2. LOL! hey wendy! im doin the homework too...

for a) thats easy just substitute in the value when u worked out wat t equals
b) should be alright....just put it into your graphic calculator....altho nothin would come up for me! and c) well i don't know how to do that yet! hehe tryin to work it out tho...

anyone kno about c?? im kinda half way though it at the moment but a bit stuck with the a in the equation....do we substitute a number in place of a or wat??
3. use 'a' in part c.
a) y^2 = 4ax

b)calculate "sensible" values of y, x and plot them,

c) integrate with limits, 4a, and 0
4. hmm i dont seem to be able to get a graph on my calculator
5. Its a y = kx2 graph but you've swapped the x and y axis around.
6. so for c do we intergrate the answer we get for a
7. (Original post by Mr. Pink)
use 'a' in part c.
a) y^2 = 4ax

b)calculate "sensible" values of y, x and plot them,

c) integrate with limits, 4a, and 0
is there anyway of using a graphic calulator to plot this?
8. for this question when we intergrate would the answer be in terms of a
as 4a is one of the limits
9. You can plot this by plotting and then reflecting it in the y=x line.

10. (Original post by AlphaNumeric)
You can plot this by plotting and then reflecting it in the y=x line.

thanks for the help

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