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Final Quiz 1

This document contains a 10 question quiz on numerical differentiation and integration. It tests concepts like using Lagrange interpolation to find function values, determining the number of segments in numerical integration methods, identifying closed and open integration methods, and knowing properties of techniques like the trapezoidal rule and Simpson's 1/3 rule. Students must select the correct answer from True or False options for each question.

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Erick Garcia
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357 views3 pages

Final Quiz 1

This document contains a 10 question quiz on numerical differentiation and integration. It tests concepts like using Lagrange interpolation to find function values, determining the number of segments in numerical integration methods, identifying closed and open integration methods, and knowing properties of techniques like the trapezoidal rule and Simpson's 1/3 rule. Students must select the correct answer from True or False options for each question.

Uploaded by

Erick Garcia
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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6/9/2021 Final Quiz 1

Home / My courses /
UGRD-MATH6330-2033T /
Week 11: Numerical Differentiation & Integration (Part 2) /
Final Quiz 1

Question 1
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Using Lagrange interpolation, with data given below compute for f(1.5)

x0 = 0                          f(x0) = 2
x1 = 3                          f(x1) = 7
the solution is f(1.5) = 4.5

Select one:
True

False

Question 2
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If the interval of the function is given as 0 to pi, for n = 6 segments, each node or segments will be 

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True

False

Question 3
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In numerical integration, when both the end points of the interval of integration are used as nodes in the methods, the methods are called
closed type methods

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True

False

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6/9/2021 Final Quiz 1

Question 4
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The degree of the polynomial for the 10 sample values or data points is equal to 10.

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True

False

Question 5
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For both the Trapezoidal and Simpson’s 1/3 rule , using more strips will give better approximation of the curve.

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True

False

Question 6
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Using Newton’s interpolation, with data given below to compute for f(1.5)

x0 = 0                          f(x0) = 2
x1 = 3                          f(x1) = 7

x2 = 5                          f(x2) = 9
The first order from x0 = 3 to x1 = 5 has a value of 1

Select one:
True

False

Question 7
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Numerical integrations such as Trapezoidal and Simpson’s 1/3 rule should have intervals that are uniform.

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True

False

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6/9/2021 Final Quiz 1

Question 8
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The approximate integral of   will give a value of 0.1786

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True

False

Question 9
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For a two segment trapezoidal rule, it will use the points similar to the ones used by Simpson’s 1/3 rule.

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True

False

Question 10
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Simpson’s 1/3 rule uses a second degree polynomial formed by the two points of the original function.

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True

False

◄ W11: Lesson 8 - Numerical Differentiation & Integration (Part 2) - Video Lecture

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W12: Lesson 9 - Application of Algorithms in Programming Languages - Module ►

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