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# Answer: Working with parametric equations Consider the ISBN: 9780321570567 2

## Solution for problem 9E Chapter 10.1

Calculus: Early Transcendentals | 1st Edition

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Problem 9E

Working with parametric equations Consider the following parametric equations.

a. Make a brief table of values of t, x, and y.

b. Plot the points in the table and the full parametric curve, indicating the positive orientation (the direction of increasing t).

c. Eliminate the parameter to obtain an expiation in x and y.

d. Describe the curve.

x = −t + 6, y = 3t − 3; −5 ≤ t ≤ 5

Step-by-Step Solution:

Solution 9EStep 1:

Table of the values of t, x and y:   -5 11 -18 -4 10 -15 -3 9 -12 -2 8 -9 -1 7 -6 0 6 -3 1 5 0 2 4 3 3 3 6 4 2 9 5 1 12

Step 2:

Plot of the points in the table and indication of positive orientation: Step 3 of 4

Step 4 of 4

##### ISBN: 9780321570567

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