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GATE 2019: Engineering Mathematics Rapid Quiz-2 (App update required to attempt this test)

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Question 1

Consider the following partial differential equation for u(x,y) with the constant

Solution of this equation is

Question 2

Consider the following function. f(x)=x³-6x² + 11x - 4
Find x₂ using Newton-Raphson method with an initial guess of x₀= 0.3. (Round the answer upto two decimal places).

Question 3

The minimum value of function, f(x,y)=x²+y²+6x+10, is ___.

Question 4

The solution of $Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\05_Engg-Math_BLok_files\image034.png$ is

Question 5

Laplace transform of the function sin ωt is

Question 6

Starting from x₀ =1, one step of Newton-Raphson method in solving the equation x³+ 3x – 7 =0gives the next value (x₁) as

Question 7

The volume of an object expressed in spherical co-ordinates is given by ;

The value of the integral is

Question 8

Consider the following function. f(x)=x³-6x² + 11x - 4
Find x₂ using Newton-Raphson method with an initial guess of x₀= 0.3. (Round the answer upto two decimal places).

Question 9

The average marks of boys in class is 52 and that of girls is 42. The average marks of boys and girls combined is 50. The percentage of boys in the class is

Question 10

The error in numerically computing the integral using the trapezoidal rule with three intervals of equal length between 0 and is_______ .

Question 11

P(0,3), Q(0.5, 4), and R (1,5) are three points on the curve defined by f(x). Numerical integration is carried out using both Trapezoidal rule and Simpson‟s rule within limits x = 0 and x =1 for the curve. The difference between the two results will be.

Question 12

If $Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\05_Engg-Math_BLok_files\image076.png$ , then the value of (a+b) is

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ESE & GATE ME Engineering Mathematics

Apr 2ESE & GATE ME