[" Difierential onefficient of sec ( "(4n^(-1))" a) is "],[[" (2) "(x)/(sqrt(1+x^(2)))," (1) "sqrt(1+x^(2))," (1) "x sqrt(1+x^(2))," (1) "1+7]]

Value of sec^(-1)(sec.(4pi)/3) is

Value of sec^(-1)(sec.(4pi)/3) is

lim_ (n rarr oo) [(1) / (n ^ (2)) * sec ^ (2) ((1) / (n ^ (2))) + (2) / (n ^ (2)) * sec ^ (2) ((4) / (n ^ (2))) + ............ + (1) / (n) * sec ^ (2) 1]

The decomposition of NH_(3) on Pt surface is a zero order reaction. If the value of rate constant is 2 xx 10^(-4)" mole liter"^(-1)" sec"^(-1) . The rate of appearance of N_(2) and H_(2) are respectively {:(" N"_(2)," H"_(2)),("(1) "1xx10^(-4)" mol l"^(-1)"sec"^(-1),3xx10^(-4)" mol"^(-1)"sec"^(-1)),("(2) "3xx10^(-4)" mol l"^(-1)"sec"^(-1),1xx10^(-4)" mol"^(-1)"sec"^(-1)),("(3) "2xx10^(-4)" mol l"^(-1)"sec"^(-1),6xx10^(-4)" mol"^(-1)"sec"^(-1)),("(4) "3xx10^(-4)" mol l"^(-1)"sec"^(-1),3xx10^(-4)" mol"^(-1)"sec"^(-1)):}

The decomposition of NH_(3) on Pt surface is a zero order reaction. If the value of rate constant is 2 xx 10^(-4)" mole liter"^(-1)" sec"^(-1) . The rate of appearance of N_(2) and H_(2) are respectively {:(" N"_(2)," H"_(2)),("(1) "1xx10^(-4)" mol l"^(-1)"sec"^(-1),3xx10^(-4)" mol"^(-1)"sec"^(-1)),("(2) "3xx10^(-4)" mol l"^(-1)"sec"^(-1),1xx10^(-4)" mol"^(-1)"sec"^(-1)),("(3) "2xx10^(-4)" mol l"^(-1)"sec"^(-1),6xx10^(-4)" mol"^(-1)"sec"^(-1)),("(4) "3xx10^(-4)" mol l"^(-1)"sec"^(-1),3xx10^(-4)" mol"^(-1)"sec"^(-1)):}

If tan x=n tan y,n in R^(+), then the maximum value of sec^(2)(x-y) is equal to (a) ((n+1)^(2))/(2n) (b) ((n+1)^(2))/(n)( c) ((n+1)^(2))/(2) (d) ((n+1)^(2))/(4n)

{:(" "Lt),(n rarr oo):} [ (1)/(n^(2)) sec^(2). (1)/(n^(2)) + (2)/(n^(2))sec^(2). (4)/(n^(2))+...+1/n sec^(2)1]=

The sum of series sec^(-1) sqrt2 + sec^(-1).(sqrt10)/(3) + sec^(-1).(sqrt50)/(7) +... + sec^(-1) sqrt(((n^(2) + 1) (n^(2) -2n + 2))/((n^(2) -n + 1)^(2))) is