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GATE 2023 II Engg. Mathematics Quiz 1
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Question 1
Let z = f (x, y) where x, y are function of t then according to the chain rule is equal to
Question 2
The value of definite integral is
Question 3
Value of
Question 4
Consider a function f(x, y, z) given by f(x, y, z) = (x2 – y2 + 9z2) (2y2 – z2) The partial derivative of this function with respect to x at the point
x =1, y = 1 and z = 1 is____.
x =1, y = 1 and z = 1 is____.
Question 5
The smallest positive integers n for which
Question 6
If x = t2, y = t3, then is
Question 7
If find the value of
Question 8
The definite integral
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