Learning Curves From experience, Emory Secretarial School knows that the average student taking Advanced Typing will progress according to the rule N(e) = 60t + 180 t + 6 (t2 0) where N(t) measures the number of words per minute the student can type after t weeks in the course. (a) Find an expression for N'(t). N'(t) = (b) Compute N'(t) for t = 1, 3, 7, and 8. (Round your answers to one decimal place.) N'(1) = N'(3) - N'(7) - N'(8) - Interpret your results. This answer has not been graded yet. (c) Sketch the graph of the function N. N N N 60 60 90 90 80 80 50 5아 70 70 40 4아 60 60 50 50 30아 30 40 40 20 20 30 30 20 20 10 10 10 10 2 4 6 10 12 4 6 8 10 12 2 4 6. 8 10 12 2 4 6 8 10 12
Learning Curves From experience, Emory Secretarial School knows that the average student taking Advanced Typing will progress according to the rule N(e) = 60t + 180 t + 6 (t2 0) where N(t) measures the number of words per minute the student can type after t weeks in the course. (a) Find an expression for N'(t). N'(t) = (b) Compute N'(t) for t = 1, 3, 7, and 8. (Round your answers to one decimal place.) N'(1) = N'(3) - N'(7) - N'(8) - Interpret your results. This answer has not been graded yet. (c) Sketch the graph of the function N. N N N 60 60 90 90 80 80 50 5아 70 70 40 4아 60 60 50 50 30아 30 40 40 20 20 30 30 20 20 10 10 10 10 2 4 6 10 12 4 6 8 10 12 2 4 6. 8 10 12 2 4 6 8 10 12
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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Transcribed Image Text:Learning Curves From experience, Emory Secretarial School knows that the average student taking Advanced Typing will progress according to the rule
60t + 180
N(t) =
(t > 0)
t + 6
where N(t) measures the number of words per minute the student can type after t weeks in the course.
(a) Find an expression for N'(t).
N'(t) =
(b) Compute N'(t) for t = 1, 3, 7, and 8. (Round your answers to one decimal place.)
N'(1)
N'(3) =
N'(7) =
N'(8) =
Interpret your results.
This answer has not been graded yet.
(c) Sketch the graph of the function N.
N
90
60
90
60
80
80
50
50
70
70
40
40
60
60
50
50
30
30
40
40
20
20
30
30
20
20
10
10
10
10
2
8
10
12
2
6
8
10
12
4
6
8
10
12
2
4
6
8
10
12
Does it confirm the results obtained in part (b)?
O Yes
O No
(d) What will be the average student's typing speed at the end of the 12-week course?
wpm
to
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