If `f(x)={ x^(3)+3x^(2)+lambda x+5 if x<1` `3x-mu` if `x>=1` is differentiable for all `x in R` then the value of `| lambda-mu|` is

If f(x) ={(lambdasqrt(2x+3),0 lex le3),(mux + 12, 3 < x le 9):} is differentiable at x = 3 , then the value of lambda + mu is equal to

If f(x)={(x^(2)+5x+lambda)/(x^(2)-1),x!=1,(7)/(2),x=1 is continuous at x=1, then find the value of lambda

Of f(x)=(2)/(sqrt(3))tan^(-1)((2x+1)/(sqrt(3)))-log(x^(2)+x+1)(lambda^(2)-5 lambda+3)x+10 is a decreasing function for all x in R, find the permissible values of lambda.

If f:[-4,4] rarr R where f(x)=x^(3)+tan x+[(x^(2)+1)/(lambda)] is an odd function then the range of values of lambda is :- (where [.] denotes greatest integer function)

f(x)={[x]+[-x], where x!=2 and lambda where If f(x) is continuous at x=2 then,the value of lambda will be

If x - lambda is a factor of x^(4)-lambda x^(3)+2x+6 . Then the value of lambda is

If f:R rarr [(pi)/(3),pi) defined by f(x)=cos^(-1)((lambda-x^(2))/(x^(2)+2)) is a surjective function, then the value of lambda is equal to

If the system of linear equations x + y + z = 5 x + 2y + 2z = 6 x + 3y + lambda z = mu, (lambda, mu in R) has infinitely many solutions, then the value of lambda + mu is :

If the system of linear equations x+ y +z = 5 x+2y +2z = 6 x + 3y + lambdaz = mu, (lambda, mu in R) has infinitely many solutions, then the value of lambda + mu is