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>
Fraction are ratio of two integers. It will take Amen 20 days to do the task alone
<h3>Proporions and fractions</h3>
From the given question, we have the following information
Let the number of days Amen can take to complete a task be x
If Payson is thrice as fast as Amen at completing a task, then the number of das Payson takes will be 3x
If they both pick up a task together, and complete it in 5 days, then;
1/x + 1/3x = 1/5
Find the LCM
3+1/3x = 1/5
4/3x = 1/5
Cross multiply
3x = 20
Determine the time taken by Amen:
x =20/3
This shows that it will take Amen 20 days to do the task alone
Learn more on proportions here: brainly.com/question/19994681
Answer: someone please answer :(((
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