The average student enrolled in the 20-week Court Reporting I course at the American Institute of Court Reporting progresses according to the rule N'(t) = 3e-0.1t (0

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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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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The average student enrolled in the 20-week Court Reporting I course at the American Institute of Court Reporting progresses
according to the rule
-0.1t
N'(t)
= 3e
(0 <t < 20),
where N'(t) measures the rate of change in the number of words per minute of dictation the student takes in machine shorthand
after t weeks in the course.
Assuming that the average student enrolled in this course begins with a dictation speed of 65 words/min, find an expression (t)
that gives the dictation speed (in words/min) of the student after t weeks in the course.
N(t) :
Transcribed Image Text:The average student enrolled in the 20-week Court Reporting I course at the American Institute of Court Reporting progresses according to the rule -0.1t N'(t) = 3e (0 <t < 20), where N'(t) measures the rate of change in the number of words per minute of dictation the student takes in machine shorthand after t weeks in the course. Assuming that the average student enrolled in this course begins with a dictation speed of 65 words/min, find an expression (t) that gives the dictation speed (in words/min) of the student after t weeks in the course. N(t) :
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