GATE CE 1995

## GATE CE

The function $$f\left( x \right) = \left| {x + 1} \right|$$ on the interval $$\left[ { - 2,0} \right]$$ is __________.

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The function $$f\left( x \right) = {x^3} - 6{x^2} + 9x + 25$$ has

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The derivative of $$f(x, y)$$ at point $$(1, 2)$$ in the direction of vector $$\overrightarrow i + \overrightarrow j $$

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The differential equation $${y^{11}} + {\left( {{x^3}\,\sin x} \right)^5}{y^1} + y = \cos {x^3}\,\,\,\,$$ is

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The solution of a differential equation $${y^{11}} + 3{y^1} + 2y = 0$$ is of the form

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Let $$\,\,f\left( x \right) = x - \cos \,x.\,\,\,$$ Using Newton-Raphson method at the $$\,{\left( {n + 1} \right)^{th}

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The inverse Laplace transform of $${{\left( {s + 9} \right)} \over {\left( {{s^2} + 6s + 13} \right)}}$$ is

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Aeolian Soils are

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The void ratio of a soil sample can exceed unity.

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Workability of concrete is influenced most by its

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The effective width of a reinforced concrete $$T$$-beam flange under compression, according to $$IS:456$$ - $$1978,$$ gi

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The lateral ties in a reinforced concrete rectangular column under axial compression are used to

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In a reinforced concrete beam-column, the increase in the flexural strength along with the increase in the axial strengt

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The span to depth ratio limit is specified in $$IS:$$ $$456-2000$$ for the reinforced concrete beams, in order to ensure

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A propped cantilever beam of span $$L,$$ is loaded with uniformly distributed load of intensity $$w/unit$$ length, all

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A single bay single storey portal frame has a hinged left support and a fixed right support. It is loaded with $$u.d.l$$

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If the Shear Force at a section of a beam under bending is equal to zero then the Bending Moment at the section is

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The magnitude of the bending Moment at the fixed support of the beam is equal to

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The number of simultaneous equations to be solved in the slope deflection method is equal to

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The forces in members $$'abc'$$ in the truss shown

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