3. In 1917, L.L. Thurstone, a pioneer in quantitative learning theory proposed a model of the number of successful acts per unit time, A, that a person could accomplish after , practice sessions. Suppose that the function reflecting this information is given by A(n)=- 55(n+1) n+8 a) Is A(n)increasing or decreasing over time? Does this make sense? b) What does A(n) approach as n increases? c) Sketch a graph of the function. d) How many practice sessions would it take for the person to be able to perform 20 successful acts? Answers: 3a) increasing b) 55 c) 3
3. In 1917, L.L. Thurstone, a pioneer in quantitative learning theory proposed a model of the number of successful acts per unit time, A, that a person could accomplish after , practice sessions. Suppose that the function reflecting this information is given by A(n)=- 55(n+1) n+8 a) Is A(n)increasing or decreasing over time? Does this make sense? b) What does A(n) approach as n increases? c) Sketch a graph of the function. d) How many practice sessions would it take for the person to be able to perform 20 successful acts? Answers: 3a) increasing b) 55 c) 3
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Expert Solution
Step 1
A model for number of successful acts is given as,
where n is the number of practice session.
(a) To Check: A(n) is increasing or decreasing.
(b) To Find: Value of A(n), as n increases.
(c) To Sketch: The graph of this function.
(d) To find: Number of practice sessions when successful acts are 20.
Step by step
Solved in 4 steps with 1 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,