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GATE 2018 Exam: Engineering Math Quiz 2
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Question 1
Function f is known at the following points
The value 
computed using the trapezoidal rule is
Question 2
Consider the following statements.
S1: f(x) = x5 + 3x - 1 is an increasing function for all values of x.
S2: f(x) = 1-x3-x9 is decreasing function for all values of x where x
0.
Which of the above statements are TRUE.
S1: f(x) = x5 + 3x - 1 is an increasing function for all values of x.
S2: f(x) = 1-x3-x9 is decreasing function for all values of x where x
0. Which of the above statements are TRUE.
Question 3
Consider the following matrix B.
If B is invertible, which one of the following could be first coloum of B-1
If B is invertible, which one of the following could be first coloum of B-1
Question 4
Fifteen coupons are numbered, 1, 2, 3, .....15. Seven coupons are selected at random one at a time with replacement. Find the probability the largest number appearing on the coupon is 9's..
Question 5
Each of the nine words in the sentence ”The quick brown fox jumps over the lazy dog” is written on a separate piece of paper. These nine pieces of paper are kept in a box. One of the pieces is drawn at random from the box. The expected length of the word drawn is _____________. (The answer should be rounded to one decimal place.)
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