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GATE 2018 Exam: Engineering Math Quiz-3

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Question 1

Consider the following function

Find the points at which f has absolute minimum and absolute maximum repectively.

Question 2

The bisection method is applied to compute a zero of the function f(x) = x4 – x3 – x2 – 4 in the interval [1,9]. The method converges to a solution after _______________ iterations.

Question 3

If the following system has non-trivial solution,
px+ qy+ rz= 0
qx+ ry+ pz= 0
rx+ py+ qz= 0,
then which one of the following options is TRUE?

Question 4

A purchaser of electrical components buys them in lots of size 10. It is his policy to inspect3 components randomlyfrom a lot and to accept the lot only if at most 1 component is defective. If 30 percent of the lots have 4 defective components each and rest of the lots have 1 each, what proportion of the lots does the purchaserreject?

Question 5

If the difference between the expectation of the square of a random variable  and the square of the expectation of the random variable is denoted by R,  , then
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Jun 22GATE & PSU CS