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GATE 2019: Engineering Mathematics Rapid Revision Quiz (App update required to attempt this test)
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Question 1
Expressing the complex no. 2 + 5i in polar form, determine the approximate value of angle θ.
Question 2
The events A1 and A2 occur with probabilities 0.6 and 0.8 respectively. At least one of them occurs with a probability of 0.9. The probability that both A1 and A2 will occur is ____.
Question 3
Find the solution for multiplication of two complex no. of the form a+ib and c+id. Take a = 2, b = 3, c = 4 and d = 5.
Question 4
Find the value ,where ‘C’ is the circle |z| = 3 is equal to;
Question 5
Consider a signal x (t) given by , then x(t) is given by
Question 6
The solution to the differential equation where k is a constant, subjected to the boundary conditions u(0) = 0 and u(L) = U. is
Question 7
Estimate the root of the equation to four decimal accuracy by employing the Newton-Raphson method starting with an initial guess of x0 = 0.
Question 8
Newton-Raphson method is used to find the roots of the equation. . If the initial guess is , then the value of x after iteration is ____
Question 9
If is the solution of the differential equation then is ____.
Question 10
The value of along a closed path is equal to where The correct path is
Question 11
A six-face fair dice is rolled a large number of times. The mean value of the outcomes is ______.
Question 12
The maximum of the three eigen values for the matrix given below is ________
Question 13
Consider the differential equation The general solution with constant c is
Question 14
The volume of an object expressed in spherical co-ordinates is given by ;
The value of the integral is
Question 15
The integral is evaluated along the circle traversed in counter clockwise direction. The integral is equal to
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