Question 1 Let C be a curve defined by the vector equation r(t)= <8t³ - 9t, 8t³ +7t, e8³-917. Show that the point a) lies on the curve C. b) at the point P. P(1, -15, e) Find parametric equations for the tangent line to the curve C

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question 1
Let C be a curve defined by the vector equation
r(t)= <8t³ — 9t, 8t³ +7t, e81³-91>.
Show that the point
a)
lies on the curve C.
b)
at the point P.
P(1, -15, e)
Find parametric equations for the tangent line to the curve C
Transcribed Image Text:Question 1 Let C be a curve defined by the vector equation r(t)= <8t³ — 9t, 8t³ +7t, e81³-91>. Show that the point a) lies on the curve C. b) at the point P. P(1, -15, e) Find parametric equations for the tangent line to the curve C
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