Given that dydt=y−ty+tdydt=y−ty+t with the initial condition y=1,t=0y=1,t=0 find the 3rd term in Taylor series when t=0.3 and y//= 0.2.
zaasmi
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MTH603 Quiz 3 Solution and Discussion -
MTH603 Quiz 3 Solution and Discussion@zaasmi said in MTH603 Quiz 3 Solution and Discussion:
In Runge – Kutta Method, we do not need to calculate higher order derivatives and find greater accuracy.
R.K Methods do not require prior calculation of higher derivatives of y(x) ,as the Taylor method does. Since the differential equations using in applications are often complicated, the calculation of derivatives may be difficult
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MTH603 Quiz 3 Solution and DiscussionIn Runge – Kutta Method, we do not need to calculate higher order derivatives and find greater accuracy.
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MTH603 Quiz 3 Solution and Discussion@zaasmi said in MTH603 Quiz 3 Solution and Discussion:
Multistep method does not improves the accuracy of the answer at each step.
Multistep methods attempt to gain efficiency by keeping and using the information from previous steps rather than discarding it. Consequently, multistep methods refer to several previous points and derivative values.
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MTH603 Quiz 3 Solution and DiscussionMultistep method does not improves the accuracy of the answer at each step.
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MTH603 Quiz 3 Solution and DiscussionIf yn+1=yn+16(K1+2K2+2k3+k4)yn+1=yn+16(K1+2K2+2k3+k4) then, K2K2 is:
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MTH603 Quiz 3 Solution and DiscussionGiven that dydt=t+y√dydt=t+y with the initial condition y0=1att0=0y0=1att0=0 Using Modified Euler’s method, for the range 0⩽t⩽0.60⩽t⩽0.6, h = 0.1 is
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MTH603 Quiz 3 Solution and Discussion@zaasmi said in MTH603 Quiz 3 Solution and Discussion:
Euler’s method is only useful for a few steps and small step sizes; however Euler’s method together with Richardson extrapolation may be used to increase the ____________.
Order accuracy is the percentage of all ecommerce orders that are fulfilled and shipped to their final destination without error, such as a mis-pick of an item or incorrect unit quantity. Order accuracy is an important metric to track because it highly impacts customer satisfaction.
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MTH603 Quiz 3 Solution and DiscussionEuler’s method is only useful for a few steps and small step sizes; however Euler’s method together with Richardson extrapolation may be used to increase the ____________.
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MTH603 Quiz 3 Solution and DiscussionGiven that dydt=y−ty+tdydt=y−ty+t with the initial condition y=1.01 at t=0.01. Using Euler’s method, y at t= 0.04, h=0.05, the value of y(0.05) is
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MTH603 Quiz 3 Solution and Discussion@zaasmi said in MTH603 Quiz 3 Solution and Discussion:
Generally, Adams methods are superior of output at many points is needed.
The Adams methods are useful to reduce the number of function calls, but they usually require more CPU time than the Runge-Kutta methods.
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MTH603 Quiz 3 Solution and DiscussionGenerally, Adams methods are superior of output at many points is needed.
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mdworkerMdworker is short for metadata server worker. And mds is short for metadata server. They are processes used by Spotlight to index your Mac. So, for example, if you copied lots of data to your Mac from somewhere else, you would notice mds and mdworker running in Activity Monitor.
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CS201 Assignment 3 Solution and DiscussionCS201 ASSIGNMENT 3 SOLUTION SPRING 2021
#include <iostream> using namespace std; #define PI 3.14159265 class Circle { private: double radius; public: void setRadius(); void computeAreaCirc(); Circle(); ~Circle(); }; Circle::Circle() { radius = 0.0; } void Circle::setRadius() { radius = 5.6; } void Circle::computeAreaCirc() { cout << "Area of circle is: " << PI * (radius * radius) << endl; cout << "Circumference of circle is: " << 2 * PI * radius << endl; } Circle::~Circle() { } class Rectangle { private: double length; double width; public: void setLength(); void setWidth(); void computeArea(); Rectangle(); ~Rectangle(); }; Rectangle::Rectangle() { length = 0.0; width = 0.0; } void Rectangle::setLength() { length = 5.0; } void Rectangle::setWidth() { width = 4.0; } void Rectangle::computeArea() { cout << "Area of Rectangle: " << length * width << endl; } Rectangle::~Rectangle() { } main() { cout<<"********************SCIENTIFIC CALCULATOR********************"<<endl; cout<<""<<endl; int run = 1; string option, choice; while(run) { cout << "\nOPTION 1 for computing Area and Circumference of the circle" << endl; cout << "OPTION 2 for computing Area of the Rectangle" << endl; cout << "Select your desired option(1-2): "; cin >> option; if(option == "1") { Circle nCircle; nCircle.setRadius(); nCircle.computeAreaCirc(); cout << "Do you want to perform anyother calculation(Y/N):"; cin >> choice; if(choice == "Y" || choice == "y") { continue; } else { break; } } else if(option == "2") { Rectangle nRectangle; nRectangle.setLength(); nRectangle.setWidth(); nRectangle.computeArea(); cout << "Do you want to perform anyother calculation(Y/N):"; cin >> choice; if(choice == "Y" || choice == "y") { continue; } else { break; } } else { cout << "Invalid Option!, Option should be from (1-2)" << endl; } } }
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MTH603 Assignment 2 Solution and Discussion@zaasmi said in MTH603 Assignment 2 Solution and Discussion:
@zaasmi said in MTH603 Assignment 2 Solution and Discussion:
Assignment NO. 2 MTH603 (Spring 2021)
Maximum Marks: 20
Due Date: July 30, 2021DON’T MISS THESE: Important instructions before attempting the solution of this assignment:
• To solve this assignment, you should have good command over 23 - 30 lectures.
Try to get the concepts, consolidate your concepts and ideas from these questions which you learn in the 23-30 lectures.
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• Write your ID on the top of your solution file.
Don’t use colourful back grounds in your solution files.
Use Math Type or Equation Editor Etc. for mathematical symbols.
You should remember thatif we found the solution files of some students are same then we will reward zero marks to all those students.
Try to make solution by yourself and protect your work from other students, otherwise you and the student who send same solution file as you will be given zero mark.
Also remember that you are supposed to submit your assignment in Word format any other like scan images etc. will not be accepted and we will give zero mark corresponding to these assignments.Question 1:
Find the first and second derivative of function f(x) at x=1.5 if:x 1.5 2.0 2.5 3.0 3.5 4.0 f(x) 3.375 7.000 13.625 24.000 38.875 59.000 MARKS 10
Question 2:
Using Newton’s forward interpolation formula, find the value of function f(1.6) if:
x 1 1.4 1.8 2.2 f(x) 3.49 4.82 5.96 6.5 MARKS 10
MTH603 Assignment 2 Solution Spring 2021-converted.docx MTH603 Assignment 2 Solution Spring 2021.pdf