Chapter 9: Q 8. (page 775)

Sketch the curves defined by the given sets of parametric equations. Indicate the direction of motion on each curve.
$x = \sin h t$ , $y = \cos h^{2} t$ , $t \in R$

Short Answer

Expert verified

The solution is:

Step by step solution

Step 1. Given information.

The given parametric equations are:

$x = \sin h t$ , $y = \cos h^{2} t$

Step 2. Find the values of x and y.

Substitute different $t = - 2, - 1, 0, 1, 2$ (assume) values in the parametric equations.

$(x, y) = (\sin h t, \cos h^{2} t)$

The tabular representation of the points is as follows:

$t$	-2	-1	0	1	2
$x$	-3.62	-1.17	0	1.17	3.62
$y$	14.13	2.37	1	2.37	14.13

Step 3. Draw the graph of the given parametric equations.

The graphical representation is as follows:

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Sketch the curves defined by the given sets of parametric equations. Indicate the direction of motion on each curve.
$x = \sin h t$ , $y = \cos h^{2} t$ , $t \in R$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find the values of x and y.

Step 3. Draw the graph of the given parametric equations.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Theoretical and Mathematical Physics

Discrete Mathematics

Calculus

Logic and Functions

Decision Maths

Study anywhere. Anytime. Across all devices.

Sketch the curves defined by the given sets of parametric equations. Indicate the direction of motion on each curve.x=sinht,y=cosh2t,t∈R

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find the values of x and y.

Step 3. Draw the graph of the given parametric equations.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Theoretical and Mathematical Physics

Discrete Mathematics

Calculus

Logic and Functions

Decision Maths

Study anywhere. Anytime. Across all devices.

Sketch the curves defined by the given sets of parametric equations. Indicate the direction of motion on each curve.
$x = \sin h t$ , $y = \cos h^{2} t$ , $t \in R$