If `T_1,T_2,T_8` of a certain GP be `x^-4,x^k and x^52` respectively then prove that `k=4 `

If T_(1),T_(2),T_(8) of a certain GP be x^(-4),x^(k) and x^(52) respectively then prove that k=24

If the 4^(t h) , 10^(t h) and 16^(t h) terms of a G.P. are x, y and z, respectively. Prove that x, y, z are in G.P.

If k_1 and k_2 are rate constants at temperatures T_1 and T_2 respectively, then according to Arrhenius equation,

If x^2+y^2=t-1/t and x^4+y^4=t^2+1/t^2 then prove that x^3ydy/dx=1 .

If x = 4y + 5 and y = kx + 4 are the lines of regression on X on Y and Y on X respectively, where k is a positive constant, prove that it can't exceed (1)/(4) .

if x^2+y^2 = t - 1/t and x^4 + y^4 = t^2 + 1/t^2 then prove that dy/dx = x^3y

Two different first order reaction have rate constants k_1 and k_2 at T_1(k_1 gt k_2) > If temperature is increased from T_1 " to " T_2 . Then new constants become k_3 and k_4 respectively. Which among the following relations is correct /

x_1 and x_2 are susceptibility of a Paramagnetic material at temperatures T_1, K and T_2K respectively, then

x_1 and x_2 are susceptibility of a Paramagnetic material at temperatures T_1, K and T_2K respectively, then