Chapter 10: Q.31. (page 695)

In Problems 27–34, find two different parametric equations for each rectangular equation $y = x^{3}$

Short Answer

Expert verified

Two different parametric equations are $y = t^{3} a n d y = t$

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 $y = t^{3}$ $- \infty \leq t \leq \infty$ ---------(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 $y = {(t^{\frac{1}{3}})}^{3} = t$ $- \infty \leq t \leq \infty$ ---(2)

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In Problems 27–34, find two different parametric equations for each rectangular equation $y = x^{3}$

Short Answer

Step by step solution

Step 1. Given Equation

Step 2. Solve for getting parametric equations .

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In Problems 27–34, find two different parametric equations for each rectangular equationy=x3

Short Answer

Step by step solution

Step 1. Given Equation

Step 2. Solve for getting parametric equations .

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Statistics

Calculus

Discrete Mathematics

Applied Mathematics

Decision Maths

Study anywhere. Anytime. Across all devices.

In Problems 27–34, find two different parametric equations for each rectangular equation $y = x^{3}$