- #1
Miike012
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I am having difficulty finding the length of the curve represented by parametric equations. The difficulty comes from not knowing how to determine if the curve transverses once, twice,... in a given interval.
The only solution I can think of is (say x = g(t) and y = f(t) and y = F(x) on interval [a,b] )
Look at graph x = g(t) and determine on the interval [a,b] if there are any values of x that repeat
If so then the graph y = F(x) on [a,b] may transverse more than once,
next look at the graph y = f(x) and determine if and y values repeat.
Then from these values one should be able to determine if the graph y =F(x) overlaps its self... but I know there must be a better method...
Help please.
The only solution I can think of is (say x = g(t) and y = f(t) and y = F(x) on interval [a,b] )
Look at graph x = g(t) and determine on the interval [a,b] if there are any values of x that repeat
If so then the graph y = F(x) on [a,b] may transverse more than once,
next look at the graph y = f(x) and determine if and y values repeat.
Then from these values one should be able to determine if the graph y =F(x) overlaps its self... but I know there must be a better method...
Help please.