MTH603 Quiz 3 January 2026

Question:

To improve the accuracy of the derivative of the function, which of the following method is more helpful?

1. Central Difference
2. Interpolation
3. Extrapolation
4. Divided Difference

Correct answer: Central Difference

Copied: 1/6/2026, 10:40:02 AM

Question:

The area of a trapezoid is obtained by adding the area of a …………and a triangle.

A. None of the given choices

B. Rectangle

C. Circle D. Square Copied: 1/6/2026, 10:57:27 AM

Question:

Given the following data

Which of the following is the Cote’s number (weighting coefficient) for the function: f(x) = x+1 in the interval [0,1]?

1. 3/2
2. -3/2
3. 1/2
4. -1/2

Correct answer: 3/2

Copied: 1/6/2026, 10:41:58 AM

Question:

points first

A. none

B. 59

C. 82 D. 76 Copied: 1/6/2026, 10:42:29 AM

Question:

In Simpson’s 3/8 rule, the global error is of ………………

A. None of the given choices B. O(h3)

C. O(h4)

D. O(h2)

Copied: 1/6/2026, 10:43:00 AM

Question:

At which of the following points the Maximum value of 2nd derivative of function f(x) = -(2/x) in the interval:[1,4] exits?

1. At x=4
2. At x=2
3. At x=3
4. At x=1

Correct answer: At x=4

Copied: 1/6/2026, 10:43:22 AM

Question:

We prefer ………over the Lagrange’s interpolating method for economy of computation.

A. Newton’s forward difference method B. None of the given choices C. Newton’s backward difference method

D. Newton’s divided difference method

Copied: 1/6/2026, 10:43:41 AM