- #1

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I do not know how to do this exercise:

Find a vector valued function f that traces out the given curve in the indicated direction.

4x

^{2}+9y

^{2}=36. a- Counterwise b- clockwise

Thanks

- Thread starter brad sue
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- #1

- 281

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I do not know how to do this exercise:

Find a vector valued function f that traces out the given curve in the indicated direction.

4x

Thanks

- #2

quasar987

Science Advisor

Homework Helper

Gold Member

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Here's an idea: First rewrite the equation (which is probably one of an ellipse) as (2x)² + (3y)² = 6². This strangely resembles the equation of a circle. In fact, if we perform the changes of variable w = 2x and z = 3y, then the equation (2x)² + (3y)² = 6² <==> w² + z² = 6² is that of a circle of radius 6

- #3

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x=a*cos(t)

y=a*sin(t)

Where a is the radius and as t increase in the positive direction the circle is traced out in a counter-clockwise direction.....

With that and the information quasar987 gave you, you should be able to figure out what to do...

Good luck

- #4

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Thanks to you bothTownsend said:

x=a*cos(t)

y=a*sin(t)

Where a is the radius and as t increase in the positive direction the circle is traced out in a counter-clockwise direction.....

With that and the information quasar987 gave you, you should be able to figure out what to do...

Good luck

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