The Laplace transform of the function $$\eqalign{ & f\left( t \right) = k,\,0 < t < c \cr & \,\,\,\

If $$c$$ is a constant, then the solution of $${{dy} \over {dx}} = 1 + {y^2}$$ is

For the function $$\phi = a{x^2}y - {y^3}$$ to represent the velocity potential of an ideal fluid, $${\nabla ^2}\,\,\p

The function $$f\left( x \right) = {e^x}$$ is _________.

Number of inflection points for the curve $$\,\,\,y = x + 2{x^4}\,\,\,\,$$ is_______.

Limit of the function, $$\mathop {Lim}\limits_{n \to \infty } {n \over {\sqrt {{n^2} + n} }}$$ is _______.

The equation $$\left[ {\matrix{ 2 & 1 & 1 \cr 1 & 1 & { - 1} \cr y & {{x^2}} & x \

The number of terms in the expansion of general determinant of order $$n$$ is

If $$A$$ is any $$nxn$$ matrix and $$k$$ is a scalar then $$\left| {kA} \right| = \alpha \left| A \right|$$ where $$\alp

Temporary hardness in water is caused by the presence of

Principle involved in the relationship between submerged unit weight and saturated weight of a soil is based on

A beam with a rectangular cross section of size $$250$$ $$mm$$ wide and $$350$$ $$mm$$ deep is prestressed by a force of

In reinforced concrete, pedestal is defined as compression member, whose effective length does not exceed its dimension

The width and effective depth of a reinforced concrete beam is $$250$$ $$mm$$ and $$440$$ $$mm$$ respectively. The beam

Maximum strain at the level of compression steel for a rectangular section having effective cover to compression steel

The minimum area of tension reinforcement in a beam shall be greater than

Two wheels, placed at a distance of $$2.5$$ $$m$$ apart, with a load of $$200\,\,kN$$ on each of them are moving on a si

A steel beam supporting loads from the floors slab as well as from wall is termed as

The problem of lateral buckling can arise only in those steel beams which have

Two steel plates each of width $$150$$ $$mm$$ and thickness $$10$$ $$mm$$ are connected with three $$20$$ $$mm$$ diamete

In section, shear centre is a point through which, if the resultant load passes, the section will not be subjected to an

In a section, shear center is a point through which, if the resultant load passes, the section will not be subjected to

The shape factor of the section shown in fig. is

For a fixed beam with span $$L,$$ having plastic moment capacity of $${{M_p}}$$, the ultimate central concentrated load

The reaction time for calculating stopping sight distance may be assumed as

The total length (in km) of the existing National Highways in India is in the range of