(a)
To find : The area under the parabolic graph.
(a)
Answer to Problem 70E
The answer: Area
Explanation of Solution
Given information:
The figure is:
And the function is
Calculation:
Area:
Therefore, the required area under the parabolic graph is
(b)
To find : The height of the arch.
(b)
Answer to Problem 70E
The answer:
Explanation of Solution
Given information:
The figure is:
And the function is
Calculation:
The vertex of the parabola's
A parabola's vertex with the formula
For ,
So, the vertex is at:
Put
Therefore, the required height of the arch is
(c)
To prove : The area is two-thirds the base times the height.
(c)
Explanation of Solution
Given information:
The figure is:
And the function is
Calculation:
Hence the base is equal to
Area:
That is the value for the area found in part
Chapter 5 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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