If `z=(x+1)^(1/6)` and `intx/((1+x)^(1/3)-sqrt(1+x))dx=a(z^4/4+z^5/5+z^6/6+z^7/7+z^8/8+z^9/9)+c`, then `|a|=`…

If z=e^((2pi i)/5) , then 1+z+z^(2)+z^(3)+5z^(4)+4z^(5)+4z^(6)+4z^(7)+4z^(8)+5z^(9)=

Let |{:(y^(5)z^(6)(z^(3)-y^(3)),,x^(4)z^(6)(x^(3)-z^(3)),,x^(4)y^(5)(y^(3)-x^(3))),(y^(2)z^(3)(y^(6)-z^(6)),,xz^(3)(z^(6)-x^(6)) ,,xy^(2)(x^(6)-y^(6))),(y^(2)^(3)(z^(3)-y^(3)),,xz^(3)(x^(3)-z^(3)),,xy^(2)(y^(3)-x^(3))):}| " and " Delta_(2)= |{:(x,,y^(2),,z^(3)),(x^(4),,y^(5) ,,z^(6)),(x^(7),,y^(8),,z^(9)):}| .Then Delta_(1)Delta_(2) is equal to

If x=4z^2+5,\ \ y=6z^2+7z+3, find (d^2y)/(dx^2) .

If z_(1) = 6 + 9i and z_(2) = 5 + 2i then find z_(1)/z_(2)

If x,y,z in R and |{:(x,y^2,z^3),(x^4,y^5,z^6),(x^7,y^8,z^9):}|=2 then find the value of |{:(y^5z^6(z^3-y^3),x^4z^6(x^3-z^3),x^4y^5(y^3-x^3)),(y^2z^3(y^6-z^6),xz^3(z^6-x^6), xy^2(x^6-y^6)),(y^2z^3(z^3-y^3),xz^3(x^3-z^3),xy^2(y^3-x^3)):}|

If (5z_2)/(7z_1) is purely imaginary, then |(2z_1+3z_2)/(2z_1-3z_2)|= (A) 5/7 (B) 7/9 (C) 25/49 (D) 1

If z_(1)= 4-3i and z_(2) = 3 + 9i " then " z_(1) -z_(2) is

lim_(xto0)(x(z^(2)-(z-x)^(2))^(1//3))/([(8 x z -4x^(2))^(1//3)+(8x z)^(1//3)]^(4)) is

Divide: 5x^3-15 x^2+25 x\ b y\ 5x 4z^3+6z^2-z\ b y-1/2z