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# GATE EC 2021: Engineering Mathematics Quiz 10 (App update required to attempt this test)

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Question 1

Match the Group-1 to Group-2 with their correct option

[Q] Non – linear algebraic equations

[R] Linear algebraic equations

[S] numerical integration

[2] newton – Rapson method

[3] gauss elimination

[4] Simpson’s rule

**GROUP 1**

[P] 2^{nd}order differential equations[Q] Non – linear algebraic equations

[R] Linear algebraic equations

[S] numerical integration

**GROUP 2**

[1] Range - kutta method[2] newton – Rapson method

[3] gauss elimination

[4] Simpson’s rule

Question 2

A function f (x) is given as

The value of d(x) as evaluated by simpson’s 1/3 rule method

Question 3

Given =x

^{2}-y^{2}, y (0) =1 The value of y(0.1) using Runge-kutta Second order method is (Take h=0.1)Question 4

Find the value of the integral of from 5 to 11 by Simpson’s rule taking number of intervals, n=6.

[Write the answer upto two decimal point]

[Write the answer upto two decimal point]

Question 5

Consider the differential equation , y(1) =2 Find the value of y(2) by first order Euler’s method with step size h = 0.5 is _____?

Question 6

If a root of the equation 3x

^{3}– 4x^{2}– 4x + 7 = 0 is found out using Newton Raphson’s method. If the first assumption for the root is 2.5, then the root after 2 iterations will be- 150 attempts
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Nov 6ESE & GATE EC

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