The average student enrolled in the 20-week Court Reporting I course at the American Institute of Court Reporting progresses according to the rule

where measures the rate of change in the number of words/minute of dictation the student takes in machine shorthand after weeks in the course. Assuming that the average student enrolled in this course begins with a dictation speed of 62 words/minute, find an expression that gives the dictation speed of the student after weeks in the course.

Question

The average student enrolled in the 20-week Court Reporting I course at the American Institute of Court Reporting progresses according to the rule
​   ​
where  measures the rate of change in the number of words/minute of dictation the student takes in machine shorthand after  weeks in the course. Assuming that the average student enrolled in this course begins with a dictation speed of 62 words/minute, find an expression  that gives the dictation speed of the student after  weeks in the course.

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The Answer of The average student enrolled in the 20-week Court Reporting I course at the American Institute of Court Reporting progresses according to the rule
​   ​
where  measures the rate of change in the number of words/minute of dictation the student takes in machine shorthand after  weeks in the course. Assuming that the average student enrolled in this course begins with a dictation speed of 62 words/minute, find an expression  that gives the dictation speed of the student after  weeks in the course.

The Average Student Enrolled in the 20-Week Court Reporting I