(a)
To find: The amplitude of the model.
(a)
Answer to Problem 43E
The amplitude of the model is
Explanation of Solution
Given information:
The given model is,
Calculation:
The amplitude is the half of the distance between highest and lowest curve. The highest temperature appears is
The amplitude can be calculated as:
Therefore, the amplitude is
(b)
To find: The period of the model.
(b)
Answer to Problem 43E
The period of the model is
Explanation of Solution
Given information:
The given model is,
Calculation:
The period of the model can be calculated as:
Therefore, the period of the model is
(c)
To find: The horizontal shift of the model.
(c)
Answer to Problem 43E
The horizontal shift of the model is 101.
Explanation of Solution
Given information:
The given model is,
Calculate:
Horizontal shift is the distance of intersection point from the y -axis. From the graph it can be observed that the distance of intersection point from y -axis is 101. So, the horizontal shift of the model is
Therefore, the horizontal shift is
(d)
To find: The vertical shift of the model.
(d)
Answer to Problem 43E
The vertical shift of the model is 25.
Explanation of Solution
Given information:
The given model is,
Calculate:
Vertical shift is the distance of intersection point from the x -axis. From the graph it can be observed that the distance of intersection point from x -axis is 25. So, the vertical shift of the model is 25.
Therefore, the vertical shift of the model is 25.
(e)
To find: The equation of the model.
(e)
Answer to Problem 43E
The equation of the model is
Explanation of Solution
Given information:
The given model is,
Calculate:
The general equation for a function is:
Here,
So, the equation for the model is:
Therefore, the equation of the model is
Chapter 1 Solutions
Calculus: Graphical, Numerical, Algebraic
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