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Quiz I: III B.Sc Physics Numerical Methods and C++ Programming

Total questions: 20

Worksheet time: 30mins

Name
Class
Date
1.

The value of x for which f(x)=0f(x)=0 is called a ______.

a)

Derivative

b)

Root

c)

Limit

d)

Iteration

2.

Equations involving algebraic and exponential functions together are called ______ equations.

a)

Linear

b)

Rational

c)

Transcendental

d)

Polynomial

3.

The Newton–Raphson method requires evaluating the ______ of the function.

a)

Integral

b)

Factor

c)

Derivative

d)

Limit

4.

A polynomial equation involves only ______ powers of x.

a)

Infinite

b)

Fractional

c)

Integral

d)

Negative

5.

The Bisection method always converges because it depends on the ______ theorem.

a)

Rolle’s

b)

Mean-value

c)

Intermediate

d)

Taylor

6.

In the Bisection method, the interval is repeatedly ______.

a)

Multiplied

b)

Halved

c)

Added

d)

Squared

7.

Newton–Raphson method uses a ______ approximation to the curve.

a)

Parabolic

b)

Circular

c)

Tangent

d)

Cubic

8.

The Newton–Raphson method may fail when f(x)=f'(x)= ______.

a)

1

b)

0

c)

2

d)

3

9.

Newton–Raphson method converges ______.

a)

Linearly

b)

Quadratically

c)

Cubically

d)

Logarithmically

10.

Bisection requires the function to change ______ over the interval.

a)

Constant

b)

Value

c)

Sign

d)

Shape

11.

Interpolation with equally spaced points uses Newton ______ formula.

a)

Central

b)

Forward

c)

Limit

d)

Tangent

12.

Fitting a straight line uses the method of least ______.

a)

Values

b)

Roots

c)

Squares

d)

Sums

13.

Least squares method minimizes the sum of squared ______.

a)

Products

b)

Errors

c)

Slopes

d)

Factors

14.

Newton forward interpolation uses ______ differences.

a)

Central

b)

Backward

c)

Forward

d)

Hybrid

15.

In Newton’s forward interpolation formula, the parameter p is defined as

a)

p = x / h

b)

p = (x − x₀) / h

c)

p = h / (x − x₀)

d)

p = x − x₀

16.

The first forward difference of a tabulated function is defined as

a)

Δy = yₙ₊₁ − yₙ₋₁

b)

Δy = yₙ − yₙ₋₁

c)

Δy = yₙ₊₁ − yₙ

d)

Δy = yₙ₊₂ − yₙ

17.

The method of fitting a straight line by least squares assumes the form

a)

y = ax² + bx + c

b)

y = aeᵇˣ

c)

y = ax + b

d)

y = a log x + b

18.

Which feature of C++ makes it suitable for developing large and complex software systems?

a)

Machine-level programming

b)

Object-oriented programming

c)

Platform dependency

d)

Limited library support

19.

While fitting a polynomial curve of degree n using least squares, the number of normal equations formed is

a)

n − 1

b)

2n

c)

n

d)

n + 1

20.

Which of the following statements correctly declares a constant integer in C++?

a)

int const x = 10;

b)

int x = const 10;

c)

const x int = 10;

d)

constant int x = 10;