Kolkata is located on which river​

Answer:

Attraction or repulsion of the magnets depends on the direction of the poles facing each other. Repulsion occurs when like poles (N-N or S-S) of the magnets are kept closer to each other. Attraction occurs when unlike poles (N-S or S-N) of the magnets are kept closer to each other.

Answer:

When two opposite magnetic poles are close, they attract each other. When like poles are pushed together, there is a force of repulsion. The rule for magnets is that like poles repel and unlike poles attract. One of the most common everyday uses for magnets is in a simple compass.

[tex]\large\underline{\sf{Solution-}}[/tex]

Given expression is

[tex]\rm \: L( \: sin2t \: sin3t \: ) \\ \\ [/tex]

can be rewritten as

[tex]\rm \: = \: \dfrac{1}{2} L( \: 2 \: sin2t \: sin3t \: ) \\ \\ [/tex]

We know,

[tex]\boxed{ \rm{ \:2 \: sinx \: siny \: = \: cos(x - y) \: - \: cos(x + y) \: }} \\ \\ [/tex]

So, using this result, we get

[tex]\rm \: = \: \dfrac{1}{2} \: L\bigg[\: cos(2t - 3t) - cos(3t + 2t) \: \bigg] \\ \\ [/tex]

[tex]\rm \: = \: \dfrac{1}{2} \: L\bigg[\: cos( - t) - cos(5t) \: \bigg] \\ \\ [/tex]

[tex]\rm \: = \: \dfrac{1}{2} \: L\bigg[\: cos(t) - cos(5t) \: \bigg] \\ \\ [/tex]

We know,

[tex]\boxed{ \rm{ \:L(cosat) \: = \: \dfrac{s}{ {s}^{2} + {a}^{2} } \: }} \\ \\ [/tex]

So, using this result, we get

[tex]\rm \: = \: \dfrac{1}{2} \bigg(\dfrac{s}{ {s}^{2} + {1}^{2} } - \dfrac{s}{ {s}^{2} + {5}^{2} } \bigg) \\ \\ [/tex]

[tex]\rm \: = \: \dfrac{1}{2} \bigg(\dfrac{s}{ {s}^{2}+1} - \dfrac{s}{ {s}^{2}+ 25} \bigg) \\ \\ [/tex]

Hence,

[tex]\rm\implies \boxed{ \rm{L( \: sin2t \: sin3t \: )=\dfrac{1}{2} \bigg(\dfrac{s}{ {s}^{2}+1}-\dfrac{s}{ {s}^{2}+ 25} \bigg) \: }} \\ \\ [/tex]

[tex]\rule{190pt}{2pt} \\ [/tex]

[tex] { \red{ \mathfrak{Additional\:Information}}}[/tex]

[tex]\boxed{ \rm{ \:L( {e}^{at}) = \frac{1}{s - a} \: }} \\ [/tex]

[tex]\boxed{ \rm{ \:L( {e}^{ - at}) = \frac{1}{s + a} \: }} \\ [/tex]

[tex]\boxed{ \rm{ \:L( sinat) = \frac{a}{ {s}^{2} + {a}^{2} } \: }} \\ [/tex]

[tex]\boxed{ \rm{ \:L( {e}^{bt} sinat) = \frac{a}{ {(s - b)}^{2} + {a}^{2} } \: }} \\ [/tex]

[tex]\boxed{ \rm{ \:L( {e}^{bt} cosat) \: = \: \dfrac{s}{ {(s - b)}^{2} + {a}^{2} } \: }} \\ \\ [/tex]

Answer:

The term 'mega' represent 'large'. Thus, megadiversity means a large number of species are present in the ecosystem. As India is rich in the diversity of animals and plants, India is called a mega diversity centre.

Endangered species are animals or plants which exist in very less number and if not conserved properly, will extinct. Endemic species are plants or animals exist in some particular regions and nowhere in the world.

biosphere reserve is an ecosystem with plants and animals of unusual scientific and natural interest. It is a label given by the UNESCO to help protect the sites. The plan is to promote management, research and education in ecosystem conservation. This includes the 'sustainable use of natural resources'.

Answer:

pitaji pratidin samachar Patra padhte Hain translation