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Gate 2021: Engineering Mathematics Quiz 11 (App update required to attempt this test)
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Question 1
For the Runge kutta method of order 4, the truncation error is of order
Question 2
The velocity V (m/s) of a car at a distance ‘s’ from a point on its path is given by the table:
The time taken in second (s) to travel 60m by using Simpson’s 1/3 rule is:
![](https://gradeup-question-images.grdp.co/liveData/PROJ24716/1547100385809690.png)
The time taken in second (s) to travel 60m by using Simpson’s 1/3 rule is:
Question 3
The values of function 𝑓(x) at 5 discrete poets are given below:
using Trapezoial rule with step size or 0.1, the value or
is_______
![Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2015-P2_files\image055.jpg](https://gs-question-images.grdp.co/1458371889079320.jpg)
using Trapezoial rule with step size or 0.1, the value or
![Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2015-P2_files\image056.png](https://gs-question-images.grdp.co/145837188975610.png)
Question 4
By using Simpson's 1/3rd rule find
by taking a width of 1
![](https://gradeup-question-images.grdp.co/liveData/PROJ23968/1544178717403810.png)
Question 5
While evaluating integral with Simpson’s 3/8th rule
This question can have multiple correct solution.
The error with the integrating interval are:
![](https://gradeup-question-images.grdp.co/liveData/PROJ5923/1514542639458334.png)
This question can have multiple correct solution.
The error with the integrating interval are:
Question 6
The value of integral
calculated using simpson’s 1/3rd Rule, with 10 subintervals is use the table given below.
![](https://gradeup-question-images.grdp.co/liveData/PROJ20528/1534766514309789.png)
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Nov 27ESE & GATE CE