The Trapezoidal Rule (HSC SSCE Mathematics Advanced): Quizzes
📚Quizzes
Practise the questions
10 questions from this quiz
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Practise the questions
10 questions from this quiz
When is the trapezoidal rule needed for experimental data?
When is the trapezoidal rule needed for experimental data?
When only measured values are known
What is using one subinterval if and ?
What is using one subinterval if and ?
When does the trapezoidal rule give the exact value of an integral?
When does the trapezoidal rule give the exact value of an integral?
When the function is linear
How does dividing an interval into more subintervals affect accuracy?
How does dividing an interval into more subintervals affect accuracy?
Improves the accuracy
For a concave up curve, does the trapezoidal rule overestimate or underestimate?
For a concave up curve, does the trapezoidal rule overestimate or underestimate?
Overestimates
If , does the trapezoidal rule overestimate or underestimate?
If , does the trapezoidal rule overestimate or underestimate?
Underestimates
If for , is the curve concave up or down?
If for , is the curve concave up or down?
Concave up
In the formula with subintervals, how many times do middle values appear?
In the formula with subintervals, how many times do middle values appear?
Twice
What is the width of each subinterval when dividing into parts?
What is the width of each subinterval when dividing into parts?
Should subintervals have equal width when using the trapezoidal rule?
Should subintervals have equal width when using the trapezoidal rule?
Yes, unless instructed otherwise