[" 7417"],[[" (A) "4,x^(3)+x^((1)/(3))-2=0," a "],[" (B) ",1]]

If |[1 , x, x^2],[ x , x^2 , 1],[ x^2 , 1 , x]|=3 , then the value of |[x^(3)-1, 0 , x-x^4],[ 0, x-x^(4) , x^(3)-1],[ x-x^(4) , x^(3)-1 , 0]|

f(x)= {((sin(a+2)x + sin x)/x, x lt 0), (b, x=0), ((((x + 3x^2 )^(1/3) - x^(1/3))/x^(4/3)), x gt 0):} Function is continuous at x = 0 , find a + 2b .

F(x) = {( (sin(a+2)x + sin x)/x , x lt 0), (b , x = 0), (((x + 3x^2 )^(1/3) - x^(1/3))/x^(4/3)), x gt 0):} Function is continuous at x = 0, find a + 2b .

Let A=[(1, 2), (3,-5)] and B=[(1, 0), (0, 2)] and X be a matrix such that A=B X , then X is equal to (a) 1/2[(2, 4), (3, -5)] (b) 1/2[(-2, 4), (3, 5)] (c) [(2, 4), (3,-5)] (d) none of these

Let X=[{:(x_(1)),(x_(2)),(x_(3)):}],A=[{:(1,-1,2),(2,0,1),(3,2,1):}] and B=[{:(3),(1),(4):}] .If AX=B, then X is equal to: a) [(1),(2),(3)] b) [(-1),(2),(3)] c) [(-1),(-2),(3)] d) [(-1),(-2),(-3)]

Suppose the vectors x_(1), x_(2) and x_(3) are the solutions of the system of linear equations, Ax=b when the vector b on the right side is equal to b_(1), b_(2) and b_(3) respectively. If x_(1)=[(1),(1),(1)], x_(2)=[(0),(2),(1)], x_(3)=[(0),(0),(1)], b_(1)=[(1),(0),(0)], b_(2)=[(0),(2),(0)] and b_(3)=[(0),(0),(2)] , then the determinant of A is equal to :