Prove that

L{\(Sin{at} \)￼￼￼} =\(\frac{a} {(s^{2}+a^{2})},s>0\)

L\(Cosat=\frac{s} {s^{2}+a^{2}},s>0\)

Prove that

L{\(Sinhat\)￼￼￼}\(=\frac{a} {s^{2}-a^{2}},s>|a|\)

L{\(coshat\)￼￼￼} =\(\frac{s} {s^{2}-a^{2}},s>|a|\)

Find the laplace transformation of

Sin2t cos3t

Find the laplace transformation of\(Sin^{3}2t\)

Find the laplace transformation of\(Cosh^{3}2t\)

Find the laplace transformation of\((\sqrt{t} +\frac{1}{\sqrt{t}})^{3} \)

Find the laplace transformation of\((1+te^{-t})^{3}\)

Find the laplace transformation of\(e^{-3t}cos^{2}t\)

Find the laplace transformation of\(Sinh3tcos^{2} t\)

L(tsinat)

L(tcosat)

Find the laplace transformation of\(t^{2}sinat\)

Find the laplace transformation of\(te^ {-4t}sin3t\)

Find the laplace transformation of\(f(t) =|t-1|+|t+2|+|t+1|+|t-2|,t>=0\)

Which is the second country in the world to land a Rover on Mars?

1) Russia

2) Japan

3) China

4) India

Calamine and Sphalerite are the ores of -

1) Iron

2) Mica

3) Zinc

4) Copper

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Geometry

Evaluate :

∫2xcos(x2 – 5).dx

If the sum of 14 terms of an A. P is 1050 its first term is 10 find 20th term ?

Diagonals of a quadrilateral 30 cm long and the perpendicular drawn from the opposite vertices are 5.6 and 7.4 cm find the area of the quadrilateral.with steps ?

Find the sum of the integers between 10 and 30 including 10 and 30 which are not divisible by 3.

A cyclic quadrilateral pqrs are where PS equals to PQ and angle SPQ is 70 degree find angle psq