   Chapter 12.1, Problem 42E

Chapter
Section
Textbook Problem

# Identifying a Common CurveIn Exercises 39 and 40, use a computer algebra system to graph the vector-valued function and identify the common curve. r ( t ) = − 2 sin t i + 2 cos t j + 2 sin t k

To determine

To graph: The space curve represented by the vector value function, r(t) = 2sint i+2cost j+2sint k.

Explanation

Given:

The equation r(t) = 2sint i+2cost j+2sint k.

Graph:

Consider the provided vector equation,

r(t) = 2sint i+2cost j+2sint k

Here,

x=2sint …...…... (1)

y=2cost …...…... (2)

z=2sint …...…... (3)

Draw the space curve of the provided vector equation by the use of maple software:

Input:

Output:

Input:

Now verify the curve obtained through the maple by substituting points on the curve

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