Question 1 by the vector equation Let C be a curve defined ·7· r(t)= <4t³ – 8t, 4t³ + 5t, e4t³-8t. a) [ Show that the point P(16,42, e¹6) lies on the curve C. b) Find parametric equations for the tangent line to the curve C at the point P.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 1ECP: Sketch and describe the orientation of the curve given by the parametric equations...
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Question 1
by the vector equation
Let C be a curve defined
r(t)= <4t³ – 8t, 4t³ + 5t, e4t³–8t
a) [
Show that the point
P(16,42, e¹6)
16
7°
lies on the curve C.
b)
Find parametric equations for the
tangent line to the curve C at the point P.
Transcribed Image Text:Question 1 by the vector equation Let C be a curve defined r(t)= <4t³ – 8t, 4t³ + 5t, e4t³–8t a) [ Show that the point P(16,42, e¹6) 16 7° lies on the curve C. b) Find parametric equations for the tangent line to the curve C at the point P.
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