-(;) > Let 7 (t) = < - 5ť² + 3, t² – 3t, In| a. Determine the coordinates of the point on the curve traced out by r(t) when t = 5. b. Find a direction vector for the line tangent to the graph of r at the point where t = 5 c. Find a parametric equation of the line tangent to 7(t) at t =5 x(t) = 122 – 50t y(t) = %3D z(t)

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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Let 7(t) = < - 5t² + 3, t² – 3t, In|
5
a. Determine the coordinates of the point on the curve traced out by r(t) when t = 5.
b. Find a direction vector for the line tangent to the graph of r at the point where t = 5
c. Find a parametric equation of the line tangent to 7 (t) at t =5
x(t) = - 122 – 50t
y(t)
z(t) :
Question Help: D Video
Transcribed Image Text:Let 7(t) = < - 5t² + 3, t² – 3t, In| 5 a. Determine the coordinates of the point on the curve traced out by r(t) when t = 5. b. Find a direction vector for the line tangent to the graph of r at the point where t = 5 c. Find a parametric equation of the line tangent to 7 (t) at t =5 x(t) = - 122 – 50t y(t) z(t) : Question Help: D Video
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