The value of `(1/6)^0` is equal to

If f(x)=int_(0)^(1)(dt)/(1+|x-t|),x in R . The value of f'(1//2) is equal to

If f (x)=((x+1)^(7)sqrt(1+x ^(2)))/((x^(2) -x+1)^(6)), then the value of f'(0) is equal to:

If f(x)={{:((1+|sinx|)^((p)/(|sinx|)),",",-(pi)/(6)ltxlt0),(q,":",x=0),(e^(tan3x.cot5x),":",0ltxlt(pi)/(6)):} is continuous at x = 0, then the value of 2p+10lnq is equal to

if P(A)=0.4,P(B^('))=0.6 and P(AcapB)=0.15 then the value of P(A|A^(')cupB^(')) is K. The value of 17 K is equal to.

The value fo the integral I=int_(0)^(oo)(dx)/((1+x^(2020))(1+x^(2))) is equal to kpi , then the value of 16k is equal to

If xcosy+ycosx=pi then the value of y' '(0) is equal to pi (b) -pi (c) 1 (d) 0

If xcosy+ycosx=pi then the value of y^(0) is equal to pi (b) -pi (c) 1 (d) 0

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

The equation x^(3)+3x^(2)+6x+3-2cosx=0 has n solution(s) in (0, 1), then the value of (n+2) is equal to

The value of lim_(xrarr0)(1)/(x^(18))(1-cos((x^(3))/(3))-cos((x^(6))/(6))+cos((x^(3))/(3)).cos((x^(6))/(6))= lambda^(2) , then the value of 900lambda is equal to ("here, "lambda gt 0)