Pre-Calc: Need Help
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Eliminate the parameter.
x = square root of t, y = 4t + 1
y = 4square root of x + 1, x ≥ 0
y = 4square root of x - 1, x ≥ 0
y = 4x2 - 1
y = 4x2 + 1
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OpenStudy (anonymous):
\[x=\sqrt{t}\\x^2=t\] is a start
OpenStudy (anonymous):
so would it be the 4th answer? y= 4X^2 +1?
OpenStudy (loser66):
yup
OpenStudy (anonymous):
and does that make this one:
Eliminate the parameter.
x = t2 + 3, y = t2 - 2
y = x-5?
OpenStudy (loser66):
yup
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OpenStudy (anonymous):
Do you know this last one?
Eliminate the parameter.
x = 5 cos t, y = 5 sin t
OpenStudy (loser66):
you get rid t of by square both sides of them, add them together and use trig cos^2 +sin^2 =1to simplify the stuff
OpenStudy (anonymous):
so how would we get both sin and cos in the same equation?
OpenStudy (loser66):
x^2 =25cos^2t
y^2= 25sin^2t
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x^2+y^2 =25 (cos^2 t + sin^2 t) =25
that is your final answer.
OpenStudy (anonymous):
thanks
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