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## Homework Statement

As I was relearning some concepts in calculus, I came across a section on ellipses. What I don't understand is why a and b in the standard equation of an ellipse govern the length of the minor/major axes. Can anyone shed some light? Thank you very much!

## Homework Equations

## The Attempt at a Solution

I have not attempted a solution, only tried to visualize the results in my head.