Are the following statements true or false? ? ? ? 1. The line parametrized by x = 7, y = 5t, z = 6 + t is parallel to the x-axis. 2. The parametric curve x = (3t+4)², y = 5(3t+ 4)² − 9, for 0 ≤ t ≤ 3 is a line segment. 3. A parametrization of the graph of y = ln(x) for x > 0 is given by x = et, y = t for -∞

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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Are the following statements true or false?
?
?
?
1. The line parametrized by x = 7, y = 5t, z = 6 + t is parallel to the x-axis.
2. The parametric curve x = (3t+ 4)², y = 5(3t + 4)² − 9, for 0 ≤ t ≤ 3 is a line segment.
3. A parametrization of the graph of y = ln(x) for x > 0 is given by x = et, y = t for -∞ <t<∞.
Transcribed Image Text:Are the following statements true or false? ? ? ? 1. The line parametrized by x = 7, y = 5t, z = 6 + t is parallel to the x-axis. 2. The parametric curve x = (3t+ 4)², y = 5(3t + 4)² − 9, for 0 ≤ t ≤ 3 is a line segment. 3. A parametrization of the graph of y = ln(x) for x > 0 is given by x = et, y = t for -∞ <t<∞.
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