GATE CE 1995
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## 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 $$\,{\left( {n + 1} \right)^{th} View Question The inverse Laplace transform of$${{\left( {s + 9} \right)} \over {\left( {{s^2} + 6s + 13} \right)}}$$is View Question Aeolian Soils are View Question The void ratio of a soil sample can exceed unity. View Question Workability of concrete is influenced most by its View Question The effective width of a reinforced concrete$$T$$-beam flange under compression, according to$$IS:456$$-$$1978,$$gi View Question The lateral ties in a reinforced concrete rectangular column under axial compression are used to View Question In a reinforced concrete beam-column, the increase in the flexural strength along with the increase in the axial strengt View Question The span to depth ratio limit is specified in$$IS:456-2000$$for the reinforced concrete beams, in order to ensure View Question A propped cantilever beam of span$$L,$$is loaded with uniformly distributed load of intensity$$w/unit$$length, all View Question A single bay single storey portal frame has a hinged left support and a fixed right support. It is loaded with$$u.d.l$$View Question If the Shear Force at a section of a beam under bending is equal to zero then the Bending Moment at the section is View Question The magnitude of the bending Moment at the fixed support of the beam is equal to View Question The number of simultaneous equations to be solved in the slope deflection method is equal to View Question The forces in members$$'abc' in the truss shown
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