# Calculus Examples

,
Set up the parametric equation for to solve the equation for .
Rewrite the equation as .
Subtract from both sides of the equation.
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify each term.
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Move the negative in front of the fraction.
Replace in the equation for to get the equation in terms of .
Simplify .
Rewrite as .
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
Simplify each term.
Multiply .
Multiply and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Multiply by .
Multiply .
Multiply and .
Multiply by .
Multiply .
Multiply and .
Multiply by .
Multiply .
Multiply by .
Multiply by .
Multiply and .
Multiply by .
Subtract from .
Simplify each term.
Cancel the common factor of .
Factor out of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Rewrite as .