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ISRO EXAM 2017 : Engineering Mathematics Quiz- 17

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Question 1

where P is a vector, is equal to

Question 2

For |x| <<1, cot h(x) can be approximated as:

Question 3

In the Taylor series expansion of ex about x = 2, the coefficient of (x – 2)4 is

Question 4

A deck of 5 cards (each carrying a distinct number from 1 to 5) is shuffled thoroughly. Two cards are then removed one at a time from the deck. What is the probability that the two cards are selected with the number on the first card being one higher than the number on the second card?(Assume card not replaced)

Question 5

The definite integral is evaluated using Trapezoidal rule with a step size of 1. The correct answer is

Question 6

The area enclosed between the straight line y = x and the parabola y = x2 in the x – y plane is

Question 7

Strokes theorem connects

Question 8

The infinite series
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Question 9

The inverse Laplace transform of is

Question 10

The divergence of the vector field is
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Oct 11ESE & GATE EC