Tocalculate:The trapezoidal rule underestimate
Answer to Problem 31E
The given statement that the trapezoidal rule underestimate
Explanation of Solution
Given information:
The trapezoidal rule underestimate
Formula used:
Calculation:
Given statement is false.
If graph is concave up, trapezoid are above the graph hence approximation is an overestimate.
For this, function must meet the condition that
If graph is concave down, then approximation is an underestimate. For this, function must meet the condition that
For the approximation is exact, function must meet the condition that
Conclusion:
The given statement that the trapezoidal rule underestimate
Chapter 6 Solutions
Calculus: Graphical, Numerical, Algebraic
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