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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Equation of the line normal to function f(x) = (x-8)2/3+1 at P(0,5) is
The distance between the origin and the point nearest to it on the surface z2 = 1 + xy is
Given a function
The optimal value of f(x, y)
For the function f(x) = x2e-x, the maximum occurs when x is equal to
Consider the function y = x2 – 6x + 9. The maximum value of y obtained when x varies over the interval 2 to 5 is
The magnitude of the gradient of the function f = xyz3 at (1,0,2) is
The expression curl (grad f), where f is a scalar function, is
If the velocity vector in a two – dimensional flow field is given by the vorticity vector, curl
The angle between two unit-magnitude co-planar vectors P (0.866, 0.500, 0) and Q (0.259, 0.966, 0) will be
65 videos|120 docs|94 tests
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65 videos|120 docs|94 tests
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