-3t k Compute the first, second, and third derivatives of r(t) = 3ti + 5 In(t)j + 5e

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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Compute the first, second, and third derivatives of r(t) = 3ti + 5 In(t)j + 5e¯
-3t
15e-31)
first derivative
second derivative
third derivative
(3, ³)
5
3.
t
(0,-
0.
9
10
73
52,45e-31)
9
- 135-3t
X
k
Transcribed Image Text:Compute the first, second, and third derivatives of r(t) = 3ti + 5 In(t)j + 5e¯ -3t 15e-31) first derivative second derivative third derivative (3, ³) 5 3. t (0,- 0. 9 10 73 52,45e-31) 9 - 135-3t X k
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