100 Millimeters = 0.1 meters P.S I think you either meant liters or meters
so 0.5 meters = 500 millimeters
0.5 meters would be greater
I guess when you say you want a cartesian equation of the curve, you would have to express them in cartesian coordinates of x and y. Thus, you must get rid of the variable t. The solution is as follows:
x = t⁴
y = ln(t)
e^y = e^(lnt)
e^y = t
Substuting this to the first equation,
x = (e^y)⁴
<em>x = e^4y</em>
Solve by elimination
multiply top by -1
-2x + y = -4
x - y = -2
-x = -6..............so x = 6
2(6) - y = 4
12-y = 4
-8 = -y
so y = 8
(-6,8)
