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Engineering Maths · Q25

Numerical Methods

Engineering and GATE · Engineering Maths · question 25

Q25

A 2nd degree polynomial, f(x) has values of 1, 4 and 15 at x = 0, 1 and 2, respectively. The integral _0^2 f ( x ) dx is to be estimated by applying the trapezoidal rule to this data. What is the error (defined as "true value - approximate value") in the estimate?

A 2nd degree polynomial, f(x) has values of 1, 4 and 15 at x = 0, 1 and 2, respectively. The integral   is to be estimated by applying the trapezoidal rule to this data. What is the error (defined as "true value - approximate value") in the estimate?
A.
Answer
B.
C.
0
D.

Answer: Option A

Solution

Answer: Option A
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