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

Let $$\,\,f\left( x \right) = x - \cos \,x.\,\,\,$$ Using Newton-Raphson method at the $$\,{\left( {n + 1} \right)^{th}}$$ iteration, the point $$\,{x_{n + 1}}$$ is computed from $${x_n}$$ as

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

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

The derivative of $$f(x, y)$$ at point $$(1, 2)$$ in the direction of vector $$\overrightarrow i + \overrightarrow j $$ is $$2\sqrt 2 $$ and in the direction of the vector $$ - 2\overrightarrow j $$ is $$-3.$$ Then the derivative of $$f(x,y)$$ in direction $$ - \overrightarrow i - 2\overrightarrow j $$ is

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

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

The void ratio of a soil sample can exceed unity.

Aeolian Soils are

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

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

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

The effective width of a reinforced concrete $$T$$-beam flange under compression, according to $$IS:456$$ - $$1978,$$ given $${l_0}$$ is the distance between the adjacent zero moment points, $$b$$ is the breadth of the rib and $$D$$ is the thickness of the flange, is

Workability of concrete is influenced most by its

A propped cantilever beam of span $$L,$$ is loaded with uniformly distributed load of intensity $$w/unit$$ length, all through the span. Bending moment at the fixed end is

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

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

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

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

A single bay single storey portal frame has a hinged left support and a fixed right support. It is loaded with $$u.d.l$$ on the beam. Which one of the following statements is true with regard to the deformation of the frame