Q 8. Sketch the curves defined by the... [FREE SOLUTION]

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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.
$x = \sin h t$ , $y = \cos h^{2} t$ , $t 鈭� R$

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:

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91影视

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

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.

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91影视

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

Applied Mathematics

Logic and Functions

Geometry

Pure Maths

Discrete Mathematics

Probability and Statistics

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.
$x = \sin h t$ , $y = \cos h^{2} t$ , $t 鈭� R$