Determine the value of the constant `m` so that the function `f(x)={m(x^2-2x)\ \ \ \ \ if\ x<0,\ \ \ cosx \ \ if\ xgeq0` is continuous.

Determine the value of the constant k so that the function f(x)={(x^2-3x+2)/(x-1),\ \ \ if\ x!=1 ):{k ,\ \ \ if\ x=1 is continuous at x=1 .

Determine the value of the constant k so that the function f(x)={k x^2\ \ \ ,\ \ \ if\ xlt=2 3\ \ \ ,\ \ \ if\ x >2 is continuous.

Determine the value of the constant k so that the function f(x)={k x^2,\ \ \ if\ xlt=2 3,\ \ \ if\ x >2 is continuous at x=2 .

Determine the value of the constant k so that the function f(x)={(sin2x)/(5x),\ \ \ if\ x!=0 \ \ \ \ ,k \ \ \ if\ x=0 is continuous at x=0 .

Determine the value of the constant m so that the function f(x)={m(x^2-2x),ifx<0cosx ,ifxgeq0 is continuous.

Determine the value of the constant k , so that the function f(x) ={ (kx)/|x| , if x lt 0 ,3 if x ge 0 is continuous at x=0

Find the value of k so that the function f defined by f(x)={(kcosx)/(pi-2x),3\ \ \ ,\ \ \ \ \ \ \ \ \ \ "if"\ \ x\ !=pi/2"if"\ x=pi/2 is continuous at x=pi/2

The value of the function f at x=0 so that the function f(x)=(2^(x)-2^(-x))/(x), x ne0 , is continuous at x=0 , is

Determine the value(s) of constant(s) involved in the definition so that the given function is continuous: f(x)={k(x^2+3)\ \ \ ,\ \ \ if\ x<0 and\ \ \ \ \cos2x\ \ \ ,\ \ \ if\ xgeq0

Find the values of a so that the function f(x)={a x+5,\ \ \ if\ xlt=2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \x-1,\ \ \ if\ x >2\ \ \ is continuous at x=2