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Let F(t) = < 5t + 5, t - 2t, 2 In < 5t' + 5,f – t, a. Determine the coordinates of the point on the curve traced out by r(t) when t - 4. b. Find a direction vector for the line tangent to the graph of r at the point where t - 4 c. Find a parametric equation of the line tangent to F(t) at t -4 z(t) - 325 + 240t y(t) = %3D z(t)

Let F(t) = < 5t + 5, t - 2t, 2 In < 5t' + 5,f – t, a. Determine the coordinates of the point on the curve traced out by r(t) when t - 4. b. Find a direction vector for the line tangent to the graph of r at the point where t - 4 c. Find a parametric equation of the line tangent to F(t) at t -4 z(t) - 325 + 240t y(t) = %3D z(t)

Algebra & Trigonometry with Analytic Geometry
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 F(t) = < 5t + 5, t - 2t, 2 In 5t° + 5, – t, a. Determine the coordinates of the point on the curve traced out by r(t) when t - 4. b. Find a direction vector for the line tangent to the graph of r at the point where t - 4 c. Find a parametric equation of the line tangent to F(t) at t -4 z(t) - 325 + 240t y(t) = %3D z(t) = Question Help: DVideo Add Work Submit Question
Transcribed Image Text:Let F(t) = < 5t + 5, t - 2t, 2 In 5t° + 5, – t, a. Determine the coordinates of the point on the curve traced out by r(t) when t - 4. b. Find a direction vector for the line tangent to the graph of r at the point where t - 4 c. Find a parametric equation of the line tangent to F(t) at t -4 z(t) - 325 + 240t y(t) = %3D z(t) = Question Help: DVideo Add Work Submit Question
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