Let `Delta=|{:(,1,x,x^(2)),(,x^(2),1,x),(,x,x^(2),1):}|`,then

Let x="cos"(pi)/3+i "sin"(pi)/3 and Delta=|(1,x,x^(2)),(x^(2),1,x),(1,x^(2),1)| the numerical value of Delta is

Let f(x)=|(1,x,x^(2)),(x,x^(2),1),(x^(2),1,x)| then |f(2.9)^(1//3)|= ___________

Suppose a epsilon R and x!=0 . Let Delta (x)=|(1-x,a,a^(2)),(a,a^(2)-x,a^(3)),(a^(2),a^(3),a^(4)-x)| Number of values of x which Delta(x)=0 is

Let Delta(x)=|(x^2-1,x+1,x-2),(2x^2-1,3x,3x-3),(x^2+4,2x-1,2x-1)|. Prove, by using calculus, that Delta(x) is a first degree polynomial.

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

Let Delta(x,y)=|(1,x,y),(1,x+y,y),(1,x,x+y)| Then Delta(-3,2) equals

Let Delta(x)=|(sinx, cosx, sin2x+cos2x),(0,1,1),(1,0,-1)| then Delta'(x) vanishes at least once in