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dy/dx - = 1 - y,y(0) = 0 is an example of

dy dx = 1 - y,y(0) = 0 is an example of Answer An ordinary differential equation A partial differential equation A polynomial equation None of the given choices

MTH603 - Numerical Analysis

In Double integration, the interval [a, b] should be divided into [c, d) should be divided into --sub intervals of size k. --subintervals of size h and the interval

In Double integration, the interval [a, b] should be divided into [c, d) should be divided into --sub intervals of size k. --subintervals of size h and the interval Answer equal, equal equal, unequal unequal, equal unequal, unequal

MTH603 - Numerical Analysis

The (n + 1) th difference of a polynomial of degree n is...

The (n + 1) th difference of a polynomial of degree n is… Answer 0 Constant n +1

MTH603 - Numerical Analysis

Let P be any real number and h be the step size of any interval. Then the relation between h and P for the backward difference is given by

Let P be any real number and h be the step size of any interval. Then the relation between h and P for the backward difference is given by Answer x-x, = Ph x- x, = P x + x, = Ph (x - x,)h= P

MTH603 - Numerical Analysis

In integrating $\int_{0}^{\frac{2}{2}} \cos x d x$ by dividing the interval into four equal parts, width of the interval should be

In integrating $\int_{0}^{\frac{2}{2}} \cos x d x$ by dividing the interval into four equal parts, width of the interval should be Answer $\frac{\pi}{2}$ $\pi$ $\frac{\pi}{8}$

MTH603 - Numerical Analysis

In fourth order Runge-Kutta method K 4

In fourth order Runge-Kutta method K 4 is given by Answer k4 = hf(xn th,yn + kz) k4 = hf(xn + 2h, + 2kz) None of the given choices k4 = hf(x, — h,Yn — kz)

MTH603 - Numerical Analysis

In fourth order Runge-Kutta method k2

In fourth order Runge-Kutta method k2 is given by Answer ^2-“/”“” З’Уп 3’ k2 = 45(-12.30-42)

MTH603 - Numerical Analysis

What is the Process of finding the values outside the interval (Xo,x,) called?

What is the Process of finding the values outside the interval (Xo,x,) called? Answer interpolation iteration Polynomial equation extrapolation

MTH603 - Numerical Analysis

When we apply Simpson's 3/8 rule, the number of intervals n must be

When we apply Simpson’s 3/8 rule, the number of intervals n must be Answer Even Odd Multiple of 3 Page 177 Similarly in deriving composite Simpson’s 3/8 rule, we divide the interval of integration into n sub-intervals, where n is divisible by 3, and applying the integration formula Multiple of 8

MTH603 - Numerical Analysis

Milne's P-C method is a multi step method where we assume that the solution to the given initial value problem is known at past --equally spaced points.

Milne’s P-C method is a multi step method where we assume that the solution to the given initial value problem is known at past –equally spaced points. Answer 2 1 3 4 1

MTH603 - Numerical Analysis

The truncation error in Adam's predictor formula is ....-times more than that in corrector formula

The truncation error in Adam’s predictor formula is …-times more than that in corrector formula Answer 10 11 12 13

MTH603 - Numerical Analysis

To apply Simpson's 3/8 rule, the number of intervals be

Answer 10 11 12 13

MTH603 - Numerical Analysis

Which formula is useful in finding the interpolating polynomial?

Given the following data Which formula is useful in finding the interpolating polynomial? Answer Lagrange’s interpolation formula X 1 2 5 9 f(x) 2 0 30 132 Page 135 Newton’s forward difference interpolation formula Newton’s backward difference interpolation formula None of the given choices

MTH603 - Numerical Analysis

Rate of change of any quantity with respect to another can be modeled by

Answer An ordinary differential equation A partial differential equation A polynomial equation None of the given choices

MTH603 - Numerical Analysis

Romberg's integration method is ------ than Trapezoidal and Simpson's rule.

Answer more accurate less accurate equally accurate none of the given choices

MTH603 - Numerical Analysis

In integrating f, e2* dx by dividing into eight equal parts, width of the interval should be......

Answer 0.250 0.500 0.125 0.625

MTH603 - Numerical Analysis

To apply Simpson's 1/3 rule, valid number of intervals are?

7 8 5 3 Page 177 The Simpson’s 1/3 rule, we have used two sub-intervals of equal width. In order to get a composite formula, we shall divide the interval of integration [a, b] Into an even number

MTH603 - Numerical Analysis

Newton's divided difference interpolation formula is used when the values of the independent variable are

Equally spaced Not equally spaced Constant None of the above

MTH603 - Numerical Analysis

If there are (n+1) values of y corresponding to (n+1) values of x, then we can represent the function f(x) by a polynomial of degree

If there are (n+1) values of y corresponding to (n+1) values of x, then we can represent the function f(x) by a polynomial of degree

MTH603 - Numerical Analysis

MTH603 Assignment 1 Solution and Discussion

Re: MTH603 Assignment 1 Solution and Discussion Assignment No. 1 MTH603 (Spring 2022) Total Marks: 20 Due Date: 8th June, 2022 DON’T MISS THESE: Important instructions before attempting the solution of this assignment: • To solve this assignment, you should have good command over 1-8 lectures. • Upload assignments properly through the LMS, No Assignment will be accepted through email. • Write your ID on the top of your solution file. Don’t use colored backgrounds in your solution files. Use Math Type or Equation Editor, etc. for mathematical symbols. You should remember that if the solution files of some students are finding the same (copied), we will reward zero marks to all those students. Make a solution by yourself and protect your work from other students, otherwise both original and copied assignments will be awarded zero marks. Also remember that you are supposed to submit your assignment in Word format, any other format like scanned images, etc. will not be accepted and be awarded zero marks Question 1 Find a real root of the equation 2x+cos⁡(x)+e^x=0 using Bisection Method using Newton Raphson Method Also compare the results and comment which of the methods performs better and which is worst. You will consider x_0=-0.6557 as a best approximation while comparing the roots. Note: In each of the above methods,you are required to perform three iterations. Spring 2022_MTH603_1.docx

MTH603 - Numerical Analysis

What is the Process of finding the values outside the interval (Xo,x,) called?

Solved MTH603 - Numerical Analysis

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zaasmi
Cyberian's Gold
wrote on last edited by zaasmi

#1

What is the Process of finding the values outside the interval (Xo,x,) called?
Answer
interpolation
iteration
Polynomial equation
extrapolation
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What is the Process of finding the values outside the interval (Xo,x,) called?
Answer
interpolation
iteration
Polynomial equation
extrapolation
Z Offline
Z Offline
zaasmi
Cyberian's Gold
wrote on last edited by

#2

@zaasmi said in What is the Process of finding the values outside the interval (Xo,x,) called?:

What is the Process of finding the values outside the interval (Xo,x,) called?
Answer
interpolation
iteration
Polynomial equation
extrapolation

The process of finding the values outside the interval is called extrapolation.

So, the correct answer is extrapolation.

Extrapolation involves estimating values beyond the known data points, while interpolation estimates values within the range of known data.
Discussion is right way to get Solution of the every assignment, Quiz and GDB.
We are always here to discuss and Guideline, Please Don't visit Cyberian only for Solution.
Cyberian Team always happy to facilitate to provide the idea solution. Please don't hesitate to contact us!
[NOTE: Don't copy or replicating idea solutions.]
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