Q 2 Sketch the curves defined bythe ... [FREE SOLUTION]

91影视

Chapter 9: Q 2 (page 774)

Sketch the curves defined by
the given sets of parametric equations. Indicate the direction
of motion on each curve.
$x = 3 t + 1, y = - 2 t + 3, t 鈭� [0, 1]$

Short Answer

Expert verified

The required graph is shown below:

Step by step solution

Given information

The parametric curves:

$x = 3 t + 1, y = - 2 t + 3, t 鈭� [0, 1]$

The goal is to draw the parametric curve.

Assume $0, 1$ when drawing the graph for the parametric equations.

Put, e different $t$ values in the parametric equations and find the values of

$x, y$

Find the value of (x,y)

When $t = 0$

$(x, y) = (3 t + 1, - 2 t + 3)$

Put $t = 0$ and simplify:

$(x, y) = (3 路 0 + 1, - 2 路 0 + 3) (x, y) = (1, 3)$

When $t = 1$

$(x, y) = (3 t + 1, - 2 t + 3)$

Put, $t = 1$ and simplify:

$(x, y) = (3 路 1 + 1, - 2 路 1 + 3) (x, y) = (4, 1)$

The tabular representation of the points is as follows

The table is shown below:

$t$	$0$	1
$x$	$1$	$4$
$y$	$3$	$1$

Draw a graphical representation with the help of (x,y) values

The required graph is shown below:

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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.
$x = 3 t + 1, y = - 2 t + 3, t 鈭� [0, 1]$

Short Answer

Step by step solution

Given information

Find the value of (x,y)

The tabular representation of the points is as follows

Draw a graphical representation with the help of (x,y) values

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Statistics

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Study anywhere. Anytime. Across all devices.

91影视

Sketch the curves defined bythe given sets of parametric equations. Indicate the directionof motion on each curve.x=3t+1,y=-2t+3,t鈭�[0,1]

Short Answer

Step by step solution

Given information

Find the value of (x,y)

The tabular representation of the points is as follows

Draw a graphical representation with the help of (x,y) values

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Statistics

Applied Mathematics

Pure Maths

Discrete Mathematics

Geometry

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.
$x = 3 t + 1, y = - 2 t + 3, t 鈭� [0, 1]$