MTH603 Final Term MCQs Set 3 by VU Topper RM

Q1. Vu-Topper RM (1 marks)

At which of the following point the derivatives or slopes the functions f(x) = x – 2 and g(x) = x + 2 may differ?

1. differ for every value of ‘x’
2. does not differ for any value of ‘x’
3. x = 2
4. x = -2

Correct answer: x = 2

Q2. Vu-Topper RM (01 marks)

In Simpson’s rule, we assume that f(x) is continuous on [a, b] and we divide [a, b] into an ………… number n of subintervals of equal length. A. Odd

B. Even

C. Prime D. None of the given choices

Q3. Vu-Topper RM (01 marks)

Geometrically, in Simpson’s 1/3 Rule, we find the area of -------- strip/strips at time under a curve of given function.

A. Three

B. five C. one D. two

Q4. Vu-Topper RM (01 marks)

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

1. Extrapolation Page 1
2. Interpolation
3. Divided difference
4. Central difference

Correct answer: Extrapolation Page 1

Q5. Vu-Topper RM (01 marks)

To take the derivative of f(x) = 2x in the interval [-3,3], which of the following partition of subintervals will be suitable?

1. Equally spaced
2. Unequally spaced
3. Union of equally spaced and unequally spaced intervals.
4. Any arbitrary partition will work

Correct answer: Equally spaced

Q6. Vu-Topper RM (01 marks)

While employing Trapezoidal and Simpson Rules to evaluate the double integral numerically, by using Trapezoidal and Simpson rule over --------. A. Plane region B. Both C. None

D. Real line

Q7. Vu-Topper RM (01 marks)

While employing Trapezoidal and Simpson Rules to evaluate the double integral numerically, by using Trapezoidal and Simpson rule with respect to -------- variable/variables at time A. Single B. Both C. None D. Double

Q8. Vu-Topper RM (01 marks)

Which of the following method is simplest one to integrate numerically a given tabular function but give more error?

1. Simpson’s 3/8 Rule
2. Simpson’s 1/3 Rule
3. Trapezoidal method
4. Rectangular method

Correct answer: Trapezoidal method

Q9. Vu-Topper RM (01 marks)

Simpson’s 3/8 rule is based on fitting ……………… points by a cubic. A. Two B. Three

C. Four Page 169

D. None of the given choices

Q10. Vu-Topper RM (01 marks)

We can improve the accuracy of trapezoidal and Simpson’s rules using

A. Simpson’s 1/3 rule B. Simpson’s 3/8 rule

C. Richardson’s extrapolation method Page 178

D. None of the given choices

Q11. Vu-Topper RM (01 marks)

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: 1/2

Q12. Vu-Topper RM (01 marks)

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

A. Rectangle

B. Square C. Circle D. None of given