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Q.31.

Expert-verifiedFound in: Page 695

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 $y={t}^{3}andy=t$

$y={x}^{3}$

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)

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