Question

If Ø=2x²y²z⁴, prove that div grad 0) = 12xyz +40² 24+24 0 34 ²₂² Camlin​

Answer 1

Answer:

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Relationship between Individual and Society!There would be no society if there were no people talking to one another, acting and interacting, cooperating with one another. But how to behave in one’s society or what is right and what is wrong in the society, all these things one -has to learn in the society. Each society has its own special set of rules, its own customs and tradi­tions, its own set of values and beliefs, and each must teach its members to fit into the society.

Relationship between Individual and Society!There would be no society if there were no people talking to one another, acting and interacting, cooperating with one another. But how to behave in one’s society or what is right and what is wrong in the society, all these things one -has to learn in the society. Each society has its own special set of rules, its own customs and tradi­tions, its own set of values and beliefs, and each must teach its members to fit into the society.The idea of society implies a mutual give-and-take by the individuals concerned either in the form of mutual glances, waving of hand, greeting, handshake, conversation or the more subtle forms of give-and-take such as letter writing, season or festival greeting, sending and acknowledging of gifts, talking on phone, e-mailing, Internet chatting and participating in public affairs.

Answer 2

Answer:

• If U(r) is a scalar field, its gradient is defined in Cartesians coords by

gradU = ∂U∂xˆı + ∂U∂y ˆ + ∂U∂z kˆ . • It is usual to define the vector operator ∇

∇ = ˆı ∂∂x + ˆ ∂∂y + kˆ ∂∂z

which is called “del” or “nabla”. We can write gradU ≡ ∇U

NB: gradU or ∇U is a vector field!

• Without thinking too hard, notice that gradU tends to point in the direction of greatest change of the scalar field U