Question

Determine the absolute error (as a decimal) and the relative error (as a percentage) in approximating the following integral using the midpoint rule with n: A) Absolute error is the difference between the exact and approximate values; Relative error is the absolute error divided by the exact value.

B) Absolute error is the absolute value of the difference between the exact and approximate values; Relative error is the absolute error divided by the exact value.

C) Absolute error is the percentage difference between the exact and approximate values; Relative error is the absolute error multiplied by 100.

D) Absolute error is the relative difference between the exact and approximate values; Relative error is the absolute error multiplied by 100.

Answer 1

The correct answer is B) Absolute error is the absolute value of the difference between the exact and approximate values; Relative error is the absolute error divided by the exact value.

Step-by-step explanation:

The correct answer is B) Absolute error is the absolute value of the difference between the exact and approximate values; Relative error is the absolute error divided by the exact value.
The absolute error is calculated by taking the absolute value of the difference between the exact and approximate values of the integral. The relative error is then obtained by dividing the absolute error by the exact value and multiplying by 100 to express it as a percentage.