Find 7¹(t), given r(t) = = r' (t) = (-5 ln(5t), 5√√3t, -5e-5t).

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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Find '(t), given r(t)
r' (t) =
=
2-5t).
-5 ln(5t), 5√3t, -5e
Transcribed Image Text:Find '(t), given r(t) r' (t) = = 2-5t). -5 ln(5t), 5√3t, -5e
Expert Solution
Step 1: Introduce to the given vector

Given vector is as follows,

r with rightwards arrow on top open parentheses t close parentheses space equals space open angle brackets table row cell negative 5 space ln left parenthesis 5 t right parenthesis comma end cell cell 5 square root of 3 t end root comma end cell cell negative 5 e to the power of negative 5 t space end exponent end cell end table close angle brackets

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