MTH603 Final Term MCQs Set 2 by VU Topper RM

Q1. Vu-Topper RM (1 marks)

Given that with the initial condition Using Modified Euler’s method, for the range , h = 0.1 is

A. 1.2

B. 1.1 C. 2.1 D. 1.0

Q2. Vu-Topper RM (1 marks)

Which of the following is the Global Error for Simpson’s 3/8 Rule while integrating ‘f(x) = Cosx’ in the interval of [0,pi] of equally spaced subinterval of width ‘h =pi/6’ and intermediate point x = pi/2?

1. -pi/80
2. 0
3. pi/80
4. 1

Correct answer: pi/80

Q3. Vu-Topper RM (1 marks)

If , and h= 0.2. Then, of Runge-Kutta method is: A. 0.1 B. 0.4

C. 0.2

D. 0.3

Q4. Vu-Topper RM (1 marks)

The single definite integral of a function is called ……… A. Volume of the curve

B. Area under the curve

C. Length of the curve D. None of the given choices

Q5. Vu-Topper RM (1 marks)

when t=1, y/ =1.2, and h=0.1.

A. 1.2

B. 1.4 C. 1.5 D. 1.3

Q6. Vu-Topper RM (1 marks)

In solving the differential equation By Euler’s method y(0.2) is calculated as A. 0.2

B. 1.01

C. 1.02 D. 0.1

Q7. Vu-Topper RM (1 marks)

Given that with the initial condition and h= o.1. Then, of Runge-Kutta method is: A. 0.3 B. 0.4

C. 0.1

D. 0.2

Q8. Vu-Topper RM (1 marks)

1. 1.45
2. 1.35
3. 1.25
4. 1.15

Correct answer: 1.45

Q9. Vu-Topper RM (1 marks)

1. 0.5
2. 0.4
3. 0.6
4. 0.7

Correct answer: 0.6

Q10. Vu-Topper RM (1 marks)

The step size “h” in numerical integration over the interval [a,b] is defined as

A. h=(b-a)/n

B. h=(b+a)/n C. h=(a-b)/n D. h=(b/a)/n

Q11. Vu-Topper RM (1 marks)

While using the Composite Trapezoidal form for integrating y = f(x) in [0,10] which is subdivided in equally spaced interval of width ‘h =2’, then which of the following is the area of associated trapezoidal strip over subinterval:[2,4] ?

A. (y2 + y4)/2

B. (y2 – y4)/2 C. (y2 – y4) D. (y2 + y4)

Q12. Vu-Topper RM (1 marks)

1. 0.06
2. 0.01
3. 0
4. 0.02

Correct answer: 0.02