The value of `b` for which the function `f(x)={5x-4,0xlt=1 , 4x^2+3b x ,1< x <2` and continuous at `x=1`

The value of a for which the function f(x)={5x-4\ \ \ ,\ \ \ if\ 0

Find the complete set of values of alpha for which the function f(x) = {(x+1,xlt1 alpha , x =1 , is strictly increasing x=1 x^(2)-x+3,xlt1

Find the complete set of values of alpha for which the function f(x) = {(x+1,xlt1 alpha , x =1 , is strictly increasing x=1 x^(2)-x+3,xlt1

The range of values of a for which the function f(x)={-x^3+cos^(-1)a , 0lt=x<1x , 1lt=xlt=3 has the smallest value at x=1, is [cos2, 1] (b) [-1,cos2] [0, 1] (d) [-1, 1]

Write the value of b for which f(x)={5x-4,when0 < x <= 1, 4x^2+3bx ,when 1 < x< 2 is continuous at x=1

The value of a for which the function f(x)=f(x)={((4^x-1)hat3)/(sin(x a)log{(1+x^2 3)}),x!=0 12(log4)^3,x=0 may be continuous at x=0 is 1 (b) 2 (c) 3 (d) none of these

The value of a for which the function f(x)=f(x)={((4^x-1)hat3)/(sin(x a)log{(1+x^2 3)}),x!=0 12(log4)^3,x=0 may be continuous at x=0 is 1 (b) 2 (c) 3 (d) none of these

Find the values of a and b so that the function f(x)={x^2+3x+a ,\ \ if\ xlt=1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ b x+2,\ \ \ if\ x >1\ \ \ \ \ \ \ is differentiable at each x in R .

Find the values of a and b , if the function f defined by f(x)={x^2+3x+a ,xlt=1b x+2,x >1 is differentiable at x=1

Find the values of a and b so that the function f given by f(x)={1, if xlt=3a x+b , if 3