In the theory of learning, the rate at which a subject is memorized is assumed to be
Question:
In the theory of learning, the rate at which a subject is memorized is assumed to be proportional to the amount that is left to be memorized. Suppose M denotes the total amount of a subject to be memorized and A(t) is the amount memorized in time t > 0. Determine a differential equation for the amount A(t).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 57% (7 reviews)
Given M denotes the total amount of subject to be memoriz...View the full answer
Answered By
Shaik Mukheet ahmed
One of my greatest passions in life is teaching.The kind of logic and imagination we use in maths and physics respectively interests me a lot.I have 16 months of experience in teaching .
0.00
0 Reviews
10+ Question Solved
Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1305965720
11th edition
Authors: Dennis G. Zill
Question Posted:
Students also viewed these Mathematics questions
-
In Problem 19, what is a differential equation for the displacement x(t) if the motion takes place in a medium that imparts a damping force on the spring/ mass system that is proportional to the...
-
The rate at which a drug is absorbed into the bloodstream is modeled by the first-order differential equation dC/dt = a - bC(t) Where a and b are positive constants and C(t) denotes the concentration...
-
In Problem 21, the mass m(t) is the sum of three different masses: m(t) = m p + m v + m(t), where mp is the constant mass of the payload, m v is the constant mass of the vehicle, and mf (t) is the...
-
Explain why each of the following statements about profit-maximizing competitive firms is incorrect. Restate each one correctly. a. A competitive firm will produce output up to the point where price...
-
For each of the following transactions for the SkyBlue Corporation, give the accounting equation effects of the adjustments required at the end of the month on December 31, 2014: a. Collected $2,400...
-
Your firm needs a computerized machine tool lathe which costs $40,000 and requires $11,000 in maintenance for each year of its 3-year life. After three years, this machine will be replaced. The...
-
Find the value of \(m\) for which the wall shear stress is independent of the principal flow direction. Find the value of \(m\) for which the boundary-layer thickness is a constant.
-
A city has developed a plan to provide for future municipal water needs. The plan proposes an aqueduct that passes through 500 feet of tunnel in a nearby mountain. Two alternatives are being...
-
Blending finished 128,000 barrels in June and transferred them to Packaging. At the end of June, there were 12,600 barrels in work in process inventory. The units were 60 percent complete with...
-
Prior to @Home Network's merger with Excite for $6.7 billion, Excite's market value was about $3.5 billion. The new company combined the search engine capabilities of one of the best-known brands (at...
-
In Problem 25 assume that the rate at which material is forgotten is proportional to the amount memorized in time t > 0. Determine a differential equation for the amount A(t) when forgetfulness is...
-
Suppose a hole is drilled through the center of the Earth and a bowling ball of mass m is dropped into the hole, as shown in the following figure. Construct a mathematical model that describes the...
-
Mrs. Norman has the following sources of income: Social security benefits $10,000 Interest income 5,000 Dividend income 5,000 Tax-exempt interest income 14,000 Mrs. Norman is 68 years of age, a...
-
Add 200 W to this and change sources citations to foot notes while keeping the APA style: Apple Inc. v. Pepper: Antitrust Law, App Stores, and the Technology Industry The rapid expansion of the...
-
When building a chair, a carpenter uses 2 pounds of wood and 3 ounces of glue. If the carpenter has 3 pounds of wood and 6 ounces of glue, how many chairs can he build? (Please show your work.) With...
-
It's Thursday morning, and you wake up at 7:40, realizing you're going to be late for your 8:00 class. You've already been late twice, and your professor has made it clear the next time, he's...
-
How does company culture make Salesforce.com a good place to work? Salesforce.com provides meaningful work through empowerment and innovation, community, and generous employee benefits....
-
The Stand Hotel has 100 rooms, two restaurants, an events center and 3 bars. The current departments, each of which has a manager, are room service, housekeeping, reception, catering and functions....
-
What LCL and UCL should we use instead of (1) if, instead of xÌ, we use the sum x 1 + · · · + x n of the sample values? Determine these limits in the case of Fig. 537....
-
As water moves through the hydrologic cycle, water quality changes are common because of natural phenomena or anthropogenic pollution. Using Figure 11.1, describe how water-quality changes occur...
-
In problem use the method of undetermined coefficients to solve the given system. 1 1 1 X' = 0 2 3 X + e4t 2/ -1 0 0 5/
-
In problem use (1) to find the general solution of the given system. o 0 0 X' = 3 0 0 x \5 1 0/
-
In problem solve the given linear system. -2 5 X'= 2 4,
-
Milligan's Backyard Storage Kits, a mail order company, sells a variety of backyard storage unit kits and landscaping decorations to its customers. Although the company makes a profit, David...
-
1. If you think about then Guest Services Essentials class, what do you believe to be the biggest change in your customer service practice? 2. Name and describe two customer service techniques to...
-
Packaging Waste & Recycling UK, 2013('000 tonnes) 2,260 Total Packaging Waste Total Recycled 4,000 3,868 3,459 3,000 2,339 2,000 1,639 1,029 1,000 806 714 462 436 23 0 0 Metal Glass Wood Paper...
Study smarter with the SolutionInn App