[(63:)((Delta^(2))/(E))x^(3)=?],[" (a) "3x^(2)]

Evaluate: (frac(Delta^2)(E))x^3

Prove that (Delta^2/E)x^3=6x

If Delta(x)=|(1,1,1),((e^(x)+e^(-x))^(2),(pi^(x)+pi^(-x))^(2),2),((e^(x)-e^(-x))^(2),(pi^(x)-pi^(-x))^(2),-2)| then Delta(x) equals

If Delta(x) = |{:(x ,, 1+ x^(2) ,, x^(3)), ("log" (1+ x ^(2)) ,, e^(x) ,, sin x), ( cos x ,, tan x , , sin^(2)x):}| , then-

If Delta (x)=|{:(x,1+x^(2),x^(3)),(log(1+x^(2)),e^(x),sinx),(cosx,tanx,sin^(2)x):}| then

If Delta (x)=|{:(x,1+x^(2),x^(3)),(log(1+x^(2)),e^(x),sinx),(cosx,tanx,sin^(2)x):}| then

If for x in R, (1)/(3) lt (x^(2) - 2x + 4)/(x^(2) + 2x + 4) lt 3 , then (9.3^(2x) + 6.3^(x) + 4)/(9.3^(2x) - 6.3^(x) + 4) lies between

The vertices of a triangle are (0,0), (x ,cosx), and (sin^3x ,0),w h e r e0ltxltpi/2 the maximum area for such a triangle in sq. units is (a) (3sqrt(3))/(32) (b) (sqrt(3)/32) (c) 4/32 (d) (6sqrt(3)) /(32)

The vertices of a triangle are (0,0), (x ,cosx), and (sin^3x ,0),w h e r e0ltxltpi/2 the maximum area for such a triangle in sq. units is (a) (3sqrt(3))/(32) (b) (sqrt(3)/32) (c) 4/32 (d) (6sqrt(3)) /(32)