Consider the parametric equations x(1) = 1 + 3r², y(1) = 4 + 2r°, 0sts1. a. What is the length of this curve? b. What is the slope of the tangent line to the curve when t= 0.5? c. Write the equation of this line.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 11T
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Consider the parametric equations x(t) = 1+ 31, y(t) = 4 +2t°, 0sts1.
a. What is the length of this curve?
b. What is the slope of the tangent line to the curve when t= 0.5?
c. Write the equation of this line.
Transcribed Image Text:Consider the parametric equations x(t) = 1+ 31, y(t) = 4 +2t°, 0sts1. a. What is the length of this curve? b. What is the slope of the tangent line to the curve when t= 0.5? c. Write the equation of this line.
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