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GATE 2023 Engg. Mathematics Quiz 10

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Question 1

The divergence of the vector field

at (1,1,1) is

Question 2

The value of k such that f(x) = kx is a probability density function in 0 < x < 1 is _______.

Question 3

In eight throws of a dice, 5 (or) 6 is considered as a success then standard deviation of success is

Question 4

With K as a constant, the possible solution for the first order differential equation

Question 5

A curve given by

is revolved around the x-axis. The volume of solid generated is ......

Question 6

X and Y are two continuous random variable with joint distribution:

The value of the constant c is:

Question 7

, Then the values of a and b are?

Question 8

Consider the differential equation

with

then

is _______

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Jul 10ESE & GATE EC