Solve for x the equation ∣∣ ∣ ∣∣a2a1sin(n+1)xsinnxsin(n−1)xcos(n+1)xcosnxcos(n−1)x∣∣ ∣ ∣∣=0
Let f: R → R such that f(x + 2y) = f(x) + f(2y) + 4xy, ∀ x, y ϵ R and f(0) = 0.
If I1=∫10f(dx),I2=∫0−1f(x)dx,and I3=∫1−1f(x)dx,then
Solve the following linear inequations in R.
Solve : 4x-2<8, when
(i) xϵR (ii) xϵZ (iii) xϵN