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GATE 2023 Engg. Mathematics Quiz 8

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Question 1

The lagrange mean-value theorem is satisfied for f(x) = x³ – 6x² + 11x – 6 in the interval [0,4] at a value of x equal to:

Question 2

The value of the function is

Question 3

The Value of

Question 4

The polynomial, p(x)=

has

Question 5

As x is increased from –∞ to ∞, the function

Question 6

Let c be the triangle path connecting the points (0, 0), (4, 4) and (0, 4) in the counter clockwise direction Then,

is equal to _____ (upto 2 decimal)

Question 7

The work done in moving a particle in the force field

along the curve defined by

from y = 0 to y = 1 is ---------------------.

Question 8

Consider the function f(x) = x² – x - 2. The maximum value of f(x) in the closed interval [–4, 4] is:

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Jun 26ESE & GATE EC