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MTH603 Practice Questions for Lecture No. 1-3

MTH603 - Numerical Analysis

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asad last edited by zaasmi

Question 1:
Convert the decimal number 80 into its binary equivalent.
Question 2:
Convert the binary number 2 (11001100) to its decimal equivalent.
Question 3:
Find the relative error when 17 is considered upto four decimal places.
Question 4:
Find the interval in which atleast one root of the equation 3 2 xx x    2 10 lies.
Question 5:
Find the real root of the equation 4 x x    10 0 in the interval [1, 2] by bisection method upto
two iterations.

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MTH603 Quiz 2 Solution and Discussion
MTH603 - Numerical Analysis • mth603 quiz 2 solution discussion fall 2019 • • zareen

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@zainab-ayub said in MTH603 Quiz 2 Solution and Discussion:

Mth603 ka koi student hai tu plz yeh question bta dy kis trha solve ho ga Given the following data x:1 2 5 y:1 4 10 Value of 1st order divided difference f[2 , 5] is

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mth603 final term solved papers by moaaz
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SOLVED MTH603 Assignment 1 Solution and Discussion
MTH603 - Numerical Analysis • mth603 assignment 1 solution spring 2022 solution and discussion • • cyberian

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MTH603 Grand Quiz Solution and Discussion
MTH603 - Numerical Analysis • mth603 grand quiz solution discussion spring 2020 • • zaasmi

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@zaasmi said in MTH603 Grand Quiz Solution and Discussion:

A series 16+8+4+2+1 is replaced by the series 16+8+4+2, then it is called

Each number in the sequence is half the value of the number receding it. So the common difference in the series is dividing by two.

16÷2=8

8÷2=4

4÷2=2

2÷2=1

1÷2=½

The answer is ½ or 0.5

When you keep dividing by two, you will notice an interesting pattern: the denominator continues to increase by two, while the numerator value remains the same. That’s fascinating because in natural, whole numbers the numbers in the series would decrease by two.

1/4 , 1/8 , 1/16 etc.
MTH603 Assignment 1 Solution and Discussion
MTH603 - Numerical Analysis • assignment assignment 1 discussion fall 2020 mth603 solution • • zareen

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@zareen said in MTH603 Assignment 1 Solution and Discussion:

Question #2: Solve the system of linear equations with the help of Gaussian elimination method.
2x + y + z = 9;3x −2y + 4z = 9;x +y-2z = 3

System of Linear Equations entered :

[1] 2x + y + z = 9
[2] 3x - 2y + 4z = 9
[3] x + y - 2z = 3

Solve by Substitution :

// Solve equation [3] for the variable y

[3] y = -x + 2z + 3

// Plug this in for variable y in equation [1]

[1] 2x + (-x +2z+3) + z = 9
[1] x + 3z = 6
// Plug this in for variable y in equation [2]

[2] 3x - 2•(-x +2z+3) + 4z = 9
[2] 5x = 15
// Solve equation [2] for the variable x

[2] 5x = 15

[2] x = 3
// Plug this in for variable x in equation [1]

[1] (3) + 3z = 6
[1] 3z = 3
// Solve equation [1] for the variable z

[1] 3z = 3

[1] z = 1
// By now we know this much :

x = 3
y = -x+2z+3
z = 1
// Use the x and z values to solve for y
y = -(3)+2(1)+3 = 2

Solution :
{x,y,z} = {3,2,1}
MTH603 Assignment 1 Solution and Discussion
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MTH603 Quiz 2 Solution and Discussion
MTH603 - Numerical Analysis • mth603 quiz 2 solution discussion spring 2020 • • zaasmi

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@zaasmi said in MTH603 Quiz 2 Solution and Discussion:

While solving a system of linear equations by Gauss Jordon Method, after all the elementary row operations if there lefts also zeros on the main diagonal then which of the is true about the system?

The question asked that while solving a system of linear equations where ghost Children method, after all the elementary operations, if their lives are all widows on the main diagonal, then which of the following history in the system. So first we have to know about the Gaussian elimination method. So Gaussian elimination is the name of the matter. We used to perform the three types of metrics. Cooperation on an undocumented metrics coming from a linear system of equations in order to find the solutions for such a system. This technique is also cultural reduction and it conjures up two stages forward elimination and backs institutions. The forward elimination estates refers to the road except needed to simplify the metrics in questions into the chloroform such states has the proposed to demonstrate if the system of equations for trade in the metrics have a unique possible solutions infinitely many solutions or just no solutions at all, he found that the system has no solutions, then there is no reason to continue the reduction the magic through the next states. So according to the given a statement, the correct officer is an officer and a. That each system me how infinitely many solutions. Thank you This after applying all the elementary row operations on the system. If the main diagonal is still conjures of zeros, that means that the system may have infinitely many solar cells. Thank you
MTH603 Quiz 3 Solution and Discussion
MTH603 - Numerical Analysis • mth603 quiz 3 solution discussion fall 2019 • • zareen

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@zaasmi said in MTH603 Quiz 3 Solution and Discussion:

Euler’s Method numerically computes the approximate ________ of a function.

Euler’s method is a numerical tool for approximating values for solutions of differential equations.

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MTH603 Practice Questions for Lecture No. 1-3

MTH603 Quiz 2 Solution and Discussion MTH603 - Numerical Analysis • mth603 quiz 2 solution discussion fall 2019 • • zareen

mth603 final term solved papers by moaaz MTH603 - Numerical Analysis • mth603 final term solved papers by moaaz • • cyberian

SOLVED MTH603 Assignment 1 Solution and Discussion MTH603 - Numerical Analysis • mth603 assignment 1 solution spring 2022 solution and discussion • • cyberian

MTH603 Grand Quiz Solution and Discussion MTH603 - Numerical Analysis • mth603 grand quiz solution discussion spring 2020 • • zaasmi

MTH603 Assignment 1 Solution and Discussion MTH603 - Numerical Analysis • assignment assignment 1 discussion fall 2020 mth603 solution • • zareen

MTH603 Assignment 1 Solution and Discussion MTH603 - Numerical Analysis • mth603 assignment 1 solution discussion spring 2020 • • zareen

MTH603 Quiz 2 Solution and Discussion MTH603 - Numerical Analysis • mth603 quiz 2 solution discussion spring 2020 • • zaasmi

MTH603 Quiz 3 Solution and Discussion MTH603 - Numerical Analysis • mth603 quiz 3 solution discussion fall 2019 • • zareen

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MTH603 Quiz 2 Solution and Discussion
MTH603 - Numerical Analysis • mth603 quiz 2 solution discussion fall 2019 • • zareen

mth603 final term solved papers by moaaz
MTH603 - Numerical Analysis • mth603 final term solved papers by moaaz • • cyberian

SOLVED MTH603 Assignment 1 Solution and Discussion
MTH603 - Numerical Analysis • mth603 assignment 1 solution spring 2022 solution and discussion • • cyberian

MTH603 Grand Quiz Solution and Discussion
MTH603 - Numerical Analysis • mth603 grand quiz solution discussion spring 2020 • • zaasmi

MTH603 Assignment 1 Solution and Discussion
MTH603 - Numerical Analysis • assignment assignment 1 discussion fall 2020 mth603 solution • • zareen

MTH603 Assignment 1 Solution and Discussion
MTH603 - Numerical Analysis • mth603 assignment 1 solution discussion spring 2020 • • zareen

MTH603 Quiz 2 Solution and Discussion
MTH603 - Numerical Analysis • mth603 quiz 2 solution discussion spring 2020 • • zaasmi

MTH603 Quiz 3 Solution and Discussion
MTH603 - Numerical Analysis • mth603 quiz 3 solution discussion fall 2019 • • zareen