NPTEL Problem Solving Through Programming in C Week 11 Quiz Assignment | NPTEL Swayam Assignment Answers
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MCQs (multiple choice questions) Nptel Week 11 Quiz Answers:
Q.1: Which are true about interpolation?
I. It is a process for finding a value between two points on a line or curve.
II. Interpolation provides a mean for estimating functions at the intermediate points.
Options are:
a) Only I
b) Only II
c) Both I & II
d) None of the above
Answer is: (c) Both I & II
Q.2: A Lagrange polynomial passes through three data points as given below
Options are:
a) 12.78
b) 13.08
c) 15.20
d) 11.36
Answer is: (c) 15.20
Q.3: The value of integration x^2e^2x by using one segment trapezoidal rule is
Options are:
a) 5446.3
b) 5336.2
c) 4986.5
d) 5278.4
Answer is: (a) 5446.3
Q.4: To solve ordinary differential equation
Options are:
a) Option (a)
b) Option (b)
c) Option (c)
d) Option (d)
Answer is: (b) Option (b)
Q.5: Given ....., and using a step size of h=0.2, Find the value of y(0.7) using Runge-Kutta 4th order method is.
Options are:
a) 2.8634
b) 2.5546
c) 2.1865
d) 1.9856
Answer is: (b) 2.5546
Q.6: What will be the area under curve using the Trapezoidal Rule
Options are:
a) 4.3829
b) 5.4863
c) 6.3427
d) 3.2857
Answer is: (d) 3.2857
Q.7: The real root of the equation 5x-2cosx-1=0 (up to two decimal accuracy) is
Options are:
a) 0.45 to 0.47
b) 0.47 to 0.49
c) 0.41 to 0.43
d) 0.53 to 0.56
Answer is: (d) 0.53 to 0.56
Q.8: Which is/are false?
I. The bisection method is guaranteed to work for finding roots of all continuous
functions.
II. Trapezoidal rule is technique for approximating the indefinite integral.
III. Lagrange polynomial is used for Polynomial Interpolation
Options are:
a) Only I
b) Only II
c) II and III
d) None of the above are false
Answer is: (b) Only II
Q.9: Find the root of x^4-x-10-0 approximately upto 5 iterations using Bisection
Method. Let a = 1.5 and b = 2.
Options are:
a) 1.68
b) 1.92
c) 1.86
d) 1.66
Answer is: (c) 1.86
Q.10: Match the following
A. Newton Method 1. Integration
B. Lagrange Polynomial 2. Root finding
C. Trapezoidal Method 3. Differential Equation
D. RungeKutta Method 4. Interpolation
Options are:
a) A-2, B-4, C-1, D-3
b) A-3, B-1, C-2, D-4
c) A-1, B-4, C-3, D-2
d) A-2, B-3, C-4, D-1
Answer is: (a) A-2, B-4, C-1, D-3
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