Chapter 10: Q. 47 (page 695)

In Problems 45 – 48, use a graphing utility to graph the curve defined by the given parametric equations.
$x = 4 \sin t - 2 \sin (2 t), y = 4 \cos t - 2 \cos (2 t)$

Short Answer

Expert verified

The graph is shown in the figure.

Step by step solution

Step 1. Given Information

The given parametric equations are

$x = 4 \sin t - 2 \sin (2 t), y = 4 \cos t - 2 \cos (2 t)$

Step 2. Drawing a Graph

Step 1. Enter the equation $x = 4 \sin t - 2 \sin (2 t), y = 4 \cos t - 2 \cos (2 t)$ with the graphic utility in the PARametric mode.

Step 2. Select the viewing window. The interval $[0, 2 π]$ , so we select the following square viewing window:

$T_{m i n} = 0, T_{m a x} = 2 π, T_{s t e p} = 0.1 X_{m i n} = - 8, X_{m a x} = 8, X_{s c l} = 1 Y_{m i n} = - 8, Y_{m a x} = 8, Y_{s c l} = 1$

Step 3. Finally select Graph

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In Problems 45 – 48, use a graphing utility to graph the curve defined by the given parametric equations.
$x = 4 \sin t - 2 \sin (2 t), y = 4 \cos t - 2 \cos (2 t)$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Drawing a Graph

One App. One Place for Learning.

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In Problems 45 – 48, use a graphing utility to graph the curve defined by the given parametric equations.x=4sint-2sin2t,y=4cost-2cos2t

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Drawing a Graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Theoretical and Mathematical Physics

Applied Mathematics

Logic and Functions

Geometry

Mechanics Maths

Study anywhere. Anytime. Across all devices.

In Problems 45 – 48, use a graphing utility to graph the curve defined by the given parametric equations.
$x = 4 \sin t - 2 \sin (2 t), y = 4 \cos t - 2 \cos (2 t)$