# 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 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 .

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.

Add and .

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 .