Consider the vector-valued function 4t-8 [{m(3. In(3-t), 5,31²-8 8 R(t) 4-1² (0, -1,4), 1. Find the domain of R. 2. Show that R is continuous at t = 2. 5 2 EXIC Car 12 t = 2 t = 2.

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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Consider the vector-valued function
4t
(In(3-1). 4-5,3²-8).
Ŕ(t)
(0, -1,4),
1. Find the domain of R.
2. Show that is continuous at t = 2.
3. Evaluate (Rof)'(-1) if f(t) = ².
t#2
t = 2.
Transcribed Image Text:Consider the vector-valued function 4t (In(3-1). 4-5,3²-8). Ŕ(t) (0, -1,4), 1. Find the domain of R. 2. Show that is continuous at t = 2. 3. Evaluate (Rof)'(-1) if f(t) = ². t#2 t = 2.
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