Let f-x-y-1-x-yk- then f- curl f is equal to-

Curl f=î amp; ĵ amp; k̂ nbsp; nbsp;∂/∂ x amp; ∂/∂ y amp; ∂/∂ z nbsp; x+y+1 amp; 1 amp; (x+y) = î+ĵ k̂ f.curl f= x+( y) 1+1+x+y=0 ...

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Divergence and Curl

Let f=x+y+1î+...

Question

$Let f = (x + y + 1)^i +^j - (x + y)^k then f . curl f is equal to_____$ .
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\to a = x^i + (x - 1)^j +^k

\to b = (x + 1)^i +^j + a^k

\forall x \in R

\to a = x^i + (x - 1)^j +^k

\to b = (x + 1)^i +^j + a^k

x \in R

If $\to a = x^i + (x - 1)^j +^k$ and $\to b = (x + 1)^i +^j + a^k$ always make an acute angle with each other for every value of $x ϵ R$ , then

f (x) = {log}_{e} (sin x), (0 < x < π)

g (x) = {sin}^{- 1} (e^{x}), (x \geq 0) .

α

a = (f o g)^{'} (α)

b = (f o g) (α),

If $\to a = x^i + (x - 1)^j +^k$ and $\to b = (x + 1)^i +^j + a^k$ always make an acute angle with each other for every value of $x ϵ R$ , then

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