If `1/(2+x/(3+1/3))=18/13` then the value of x is equal to?

If 3tan^(-1)((1)/(2+sqrt3))-tan^(-1).(1)/(3)=tan^(-1).(1)/(x) , then the value of x is equal to

If x=(7+5sqrt(2))^(1/3)-1/((7+5sqrt(2))^(1/3)) , then the value of x^3+3x-14 is equal to 1 b. 0 c. 2 d. 4

Let A=[(2, -1, 1),(-2, 3, -1),(-4, 4, -x)] be a matrix. If A^(2)=A , then the value of x is equal to

If x=(7+5sqrt(2))^(1/3) -1/((7+5sqrt(2))^(1/3) , then the value of x^3+3x-14 is equal to 1 (b) 0 (c) 2 (d) 4

If f(x)=|x-1|+|x-3| ,then value of f'(2) is equal to

If f(x) = (x - 1)(x - 2)(x - 3)(x - 4)(x - 5) , then the value of f' (5) is equal to

Let A=[(x,2,-3),(-1,3,-2),(2,-1,1)] be a matrix and |adj(adjA)|=(12)^(4) , then the sum of all the values of x is equal to

If the expression |{:(x^2+x+3,1,4),(2x^4+x^3+2x+1,2,3),(x^2+x,1,1):}| is equal to ax^4+bx^3+cx^2+dx+e , then the value of e is equal to

6. If tan^(−1)(1−x),tan^(−1)(x) and tan^(−1)(1+x) are in A.P., then the value of x^3+x^2 is equal to

If {:X=[(3,-4),(1,-1)]:} , the value of X^n is equal to