Numerical Methods

Numerical Methods

University - Professional Development

15 Qs

quiz-placeholder

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Numerical Methods

Numerical Methods

Assessment

Quiz

Mathematics

University - Professional Development

Hard

Created by

IECEP UDM

Used 12+ times

FREE Resource

15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

The necessary condition for the McLaurin expansion to be true for function f(x) is __________

f(x) should be continuous

f(x) should be differentiable

f(x) should exists at every point

f(x) should be continuous and differentiable

2.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

The value of f(1) can be deduced using Taylor series.

True

False

3.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

Let τa(f(x)) denote the Taylor series of the polynomial f(x) centered at a. Which of the following exactly happens after the Taylor series is formed?

τa(f(x)) = f(x)

The Taylor series has the effect of scaling GRAPH OF f(x)

The Taylor series transforms the origin

Scaled up graph obtained by factor of a

4.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

A function f(x) which is continuous and differentiable over the real domain exists such that f(n) (x) = [f(n + 1) (x)]2, f(0) = a and f(1)(0) = 1.

True

False

5.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

Find the value of √10

3.1633

3.1623

3.1632

3.1645

6.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

Expand f(x) = 1x about x = 1.

1 – (x-1) + (x-1)2 – (x-1)3 + ….

1 + (x-1) + (x-1)2 + (x-1)3 + ….

1 + (x-1) – (x-1)2 + (x-1)3 + ….

1 – (x+1) + (x+1)2 – (x+1)3 + ….

7.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

An infinite series that can be thought of as a polynomial with an infinite number of terms, such as 1 + x + x2 + x3 +⋯…

Taylor Series

Power Series

Numerical Series

Maclaurin Series

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