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GATE 2023 II Engg. Mathematics Quiz 12

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Question 1

Consider a special curve in three-dimensional space given in parametric form by .
The length of the curve is ________

Question 2

The area of region bounded by the parabola y2 = 4x and the line y = 2x – 4

Question 3

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____.

Question 4

If find the value of

Question 5

If the function is continuous at x = 0 then find the value of a ?

Question 6

equal to

Question 7

is _____.

Question 8

The value of the function  is _________.
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