Concept explainers
(a)
To find:
(a)
Answer to Problem 12RE
Explanation of Solution
Given information:
The interval
The Riemann Sum
Theorem Used:
Definite Integral as limit of Riemann Sum:
If
That is
Limit of the given Riemann Sum is
Comparing it with standard equation in (1)
That is,
Since the given interval is
∴
(b)
To find:
(b)
Answer to Problem 12RE
Explanation of Solution
Given information:
The interval
The Riemann Sum
Theorem Used:
Definite Integral as limit of Riemann Sum:
If
That is
Limit of the given Riemann Sum is
Comparing it with standard equation in (1)
That is,
Since the given interval is
∴
(c)
To find:
(c)
Answer to Problem 12RE
Explanation of Solution
Given information:
The interval
The Riemann Sum
Theorem Used:
Definite Integral as limit of Riemann Sum:
If
That is
Limit of the given Riemann Sum is
Comparing it with standard equation in (1)
That is,
Since the given interval is
∴
(d)
To find:
(d)
Answer to Problem 12RE
Explanation of Solution
Given information:
The interval
The Riemann Sum
Theorem Used:
Definite Integral as limit of Riemann Sum:
If
That is
Limit of the given Riemann Sum is
Comparing it with standard equation in (1)
That is,
Since the given interval is
∴
(e)
To find:
(e)
Answer to Problem 12RE
Explanation of Solution
Given information:
The interval
The Riemann Sum
Theorem Used:
Definite Integral as limit of Riemann Sum:
If
That is
Limit of the given Riemann Sum is
Comparing it with standard equation in (1)
That is,
Since the given interval is
∴
Chapter 6 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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