Find the following for the given equation. r(t) = (e-t, 8t², 3 tan(t)) (a)_r'(t) = <-e¯¹,16t, 3 sec²(t) > (b) r"(t) = (c) Find r'(t).r"(t). -2t c4 (1) tan (1) + 256t + 27 sec X X
Find the following for the given equation. r(t) = (e-t, 8t², 3 tan(t)) (a)_r'(t) = <-e¯¹,16t, 3 sec²(t) > (b) r"(t) = (c) Find r'(t).r"(t). -2t c4 (1) tan (1) + 256t + 27 sec X X
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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Transcribed Image Text:Find the following for the given equation.
r(t) = (e-t, 8t², 3 tan(t))
(a)_r'(t) = < −e¯¹,16t, 3 sec²(t) >
(b) r"(t) = <et, 16, 9 sec²
2
<e¯t, 16, 9 sec² (t) tan(t) >
(c) Find r'(t).r"(t).
-2t
-e
c4 (1) tan (1)
+ 256t + 27 sec
X
X
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