(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

find the cumference of the loop 9x^2=4y^3 from (0,0) to (2/3, 1)

2. Relevant equations

length of curve square root (1+(dx/dy)^2)dy or square root ((dx/dt)^2 + (dy/dt)^2) dt

3. The attempt at a solution

i said x=9t/4 and y= (9t^(2/3))/4

then i found that 0≤t≤8/27

so after finding dy/dt and dx/dt i pluged that into that lengh of curve formula

the answer should be (4(square root 3))/3

But i m not getting the answer....

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# Finding the circumference of the loop in parametrics

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