If `(k+(1)/(k))^(2)=16`, then `k^(2)+(1)/(k^(2))=`

If sec theta+tan theta=k,cos theta=(k^(2)+1)/(2k)b(2k)/(k^(2)+1)c*(k)/(k^(2)+1)d*(k)/(k^(2)-1)

If Delta_(k) = |(k,1,5),(k^(2),2n +1,2n +1),(k^(3),3n^(2),3n +1)|, " then " sum_(k=1)^(n) Delta_(k) is equal to

If Delta_(k) = |(k,1,5),(k^(2),2n +1,2n +1),(k^(3),3n^(2),3n +1)|, " then " sum_(k=1)^(n) Delta_(k) is equal to

If c is very small when compared to k then ((k)/(k+c))^((1)/(2))+((k)/(k-c))^((1)/(2))=

Two consecutive irreversible fierst order reactions can be represented by Aoverset(k_(1))(rarr)Boverset(k_(2))(rarr)C The rate equation for A is readily interated to obtain [A]_(t)=[A]_(0).e^(-k_(1^(t))) , and [B]_(t)=(k_(1)[A]_(0))/(k_(2)-k_(1))[e^(-k_(1)(t))-e^(-k_(2)(t))] At what time will B be present in maximum concentration ? a) (K_(1))/(K_(2)-K_(1)) b) (1)/(k_(1)-k_(2) In (k_(1))/(k_(2)) c) (1)/(k_(2)-k_(1)) In (k_(1))/(k_(2)) d) none of these

If A=[(5,4),(1,2)] and if (A+2I)^(-1)=k_(1)A+k_(2)I then find (k_(1),k_(2)) .

If I_(n) = |(1,k,k),(2n,k^(2) + k + 1,k^(2) + k),(2n -1,k^(2) ,k^(2) + k +1)| and sum_(n=1)^(k) I_(n) = 72 , then k =

Let X_(k) be real number such that X_(k)gtk^(4)+k^(2)+1 for 1 le k le 2018 . Denot N =sum_(k=1)^(2018)k . Consider the following inequalities: I. (sum_(k=1)^(2018)kx_(k))^(2)leN(sum_(k=1)^(2018)kx_(k)^(2)) " " II. (sum_(k=1)^(2018)kx_(k))^(2)leN(sum_(k=1)^(2018)k^(2)x_(k)^(2))

If A+B+C=pi&sin(A+(C)/(2))=k(sin C)/(2), then (tan A)/(2)(tan B)/(2)= a.(k-1)/(k+1) b.(k+1)/(k-1) c.(k)/(k+1) d.(k+1)/(k)