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Achiever Study Plan ESE-2018: Engineering Mathematics Quiz 1
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Question 1
Given a vector field F = y2 xax - yzay -x2az, the one integral .dl evaluated along a segment on the x-axis from x = 1 to x = 2 is
Question 2
Let f(x) = x ex. The maximum value of the function in the interval (0, ∞) is
Question 3
Roots of the algebraic equation x3 + x2 + x +1 = 0 are
Question 4
F(x, y) = (x2 + xy). It’s line integral over the straight line from (x, y) = (0, 2) to (x, y) = (2, 0) evaluates to
Question 5
A fair coin is tossed three times in succession. If the first toss produces a head, then the probability of getting exactly two heads in three tosses is:
Question 6
The solution of the variables and for the following equations is to be obtained by employing the Newton-Raphson iterative method. Given initial values of (x1, x2) be (0,1)
Equation (i) 10x2sinx1 - 0.8 = 0
Equation (ii) 10x22 - 10x2 cosx1 - 0.6 = 0
Equation (i) 10x2sinx1 - 0.8 = 0
Equation (ii) 10x22 - 10x2 cosx1 - 0.6 = 0
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Mar 14ESE & GATE EE