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) = 6e −0.05t 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 60 words/min, find an expression N(t) that gives the dictation speed of the student after t weeks in the course.

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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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) = 6e −0.05t

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 60 words/min, find an expression N(t) that gives the dictation speed of the student after t weeks in the course.

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