   Chapter 5.4, Problem 54E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# A honeybee population starts with 100 bees and increases at a rate of n′(t) bees per week. What does 100 + ∫ 0 15 n ′ ( t )   d t represent?

To determine

To represent: The integral function 100+015n'(t)dt.

Explanation

Given information:

The initial honeybee population is n(0)=100.

The rate of increase in bees population per week is n'(t).

The integral function is 100+015n'(t)dt (1)

The net change theorem is shown below:

abF'(x)dx=F(b)F(a)

Here, the rate of change of the function [y=F(x)] with respect to x is F'(x)

Change in y represents change of x from a to b as F(b)F(a)

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Study Guide for Stewart's Multivariable Calculus, 8th 