differential calculus: asymptote to curve r = a cos(b)
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Re: differential calculus
Then look at the definition of assymptote (in your textbook or class-notes) and tell us what you think.
First get an idea about the "looks" of the curve - by using your graphing calculator.karan said:
Then look at the definition of assymptote (in your textbook or class-notes) and tell us what you think.
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Dr. Flim-Flam
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Assuming polar coordinates, a and b are constants, then r = acos(b), r² =(acos(b))², r² = x² + y²,
x² + y² = (acos(b))². Let (acos(b))² = c². Then x² + y² = c², a circle with center at the origin and radius c.
Can you take it from here? What asymptotes does a circle have?
Note: If b = ?/2 +?k, k an integer, then we have a point at the origin.
x² + y² = (acos(b))². Let (acos(b))² = c². Then x² + y² = c², a circle with center at the origin and radius c.
Can you take it from here? What asymptotes does a circle have?
Note: If b = ?/2 +?k, k an integer, then we have a point at the origin.