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Expert-verified Found in: Page 695 ### Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465 # In Problems 27–34, find two different parametric equations for each rectangular equation$y={x}^{3}$

Two different parametric equations are $y={t}^{3}andy=t$

See the step by step solution

## Step 1. Given Equation

$y={x}^{3}$

## Step 2. Solve for getting parametric equations .

let us assume that $x=t$

then putting the value of x in given equation we get $y={t}^{3}$$-\infty \le t\le \infty$---------(1)

again solving given equation for x

we get $x={y}^{\frac{1}{3}}$

Now again let us assume that $x={t}^{\frac{1}{3}}$

we get $y={\left({t}^{\frac{1}{3}}\right)}^{3}=t$$-\infty \le t\le \infty$---(2) ### Want to see more solutions like these? 