Concept explainers
a.
Find the equation to represent the height of the horse h as a function of time t seconds.
a.
Answer to Problem 41PPS
The equation is
Explanation of Solution
Given: It is given in the question that a horse on a carousel goes up and down three times as the carousel makes one complete rotation. The maximum height of the horse is
Concept Used:
In this, use the concept of general equation of sine
Calculation: Let the equation be
First find the midline h,
Since, the amplitude is the difference between midline and maximum and minimum value.
It takes
So, the period is
Since,
Put the above value in the equation
The equation is
Conclusion:
The function is
b.
Draw the graph of the function.
b.
Explanation of Solution
Given:
It is given in the question that the function is
Graph:
Interpretation:
Here, put the function
c.
Calculate height of the horse after eight seconds.
c.
Answer to Problem 41PPS
The height of the horse is
Explanation of Solution
Given:
It is given in the question that the function is
Concept Used:
In this, use the concept of substituting the given value in the function and get the solution.
Calculation: Here, the function
Substitute the value
Conclusion:
The height of the horse is
Chapter 13 Solutions
Algebra 2
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