   Chapter 12.3, Problem 47E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# Memorization The rate of vocabulary memorization of the average student in a foreign language course is given by d v d t = 40 t + 1 where t is the number of continuous hours of study, 0   < t ≤   4 , and v is the number of words. How many words would the average student memorize in 3 hours?

To determine

To calculate: The count of the words that the average student can memorize in 3 hours where the rate of vocabulary memorization of the average student in a foreign language course is given by

dvdt=40t+1

Where; t is the number of continuous hours of study, 0t4 and v is the number of words.

Explanation

Given Information:

The rate of vocabulary memorization of the average student in a foreign language course is given by

dvdt=40t+1; where t is the number of continuous hours of study, 0t4 and v is the number of words.

Formula used:

The logarithm formula is

u1u'dx=u'udu=ln|u|+C; where u is a function of x.

Calculation:

Rewrite dvdt=40t+1 as dv=40t+1dt

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