
Concept explainers
(a)
To find:
The height in order to maximize the intensity of illumination.
(a)

Answer to Problem 65RE
The light pole should be
Explanation of Solution
Given:
The equation is
Concept used:
If the quantities
For some constant
That is y varies inversely proportional as
The constant
Calculation:
The original equation given in order utilize variable that can be easily solved the given diagram
Now after substituting
Differentiating with respect to
Using the zero product property of the equation
The light pole should be
(b)
To find:
The rate of change of the intensity of the light equation.
(b)

Answer to Problem 65RE
The value for the rate of the intensity of the light at the point on the woman’s back is
Explanation of Solution
Given:
The equation is
Concept used:
If the quantities
For some constant
That is y varies inversely proportional as
The constant
Calculation:
The original equation given in order utilize variable that can be easily solved the given diagram
Now after substituting
Using the zero product property of the equation
The light pole should be
The equation is
Differentiating with respect to
The value for the rate of the intensity of the light at the point on the woman’s back is
Chapter 4 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
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- Explain the relationship between 12.3.6, (case A of 12.3.6) and 12.3.7arrow_forwardExplain the key points and reasons for the establishment of 12.3.2(integral Test)arrow_forwardUse 12.4.2 to determine whether the infinite series on the right side of equation 12.6.5, 12.6.6 and 12.6.7 converges for every real number x.arrow_forward
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