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)={(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)\ \ \ \ \ 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)={kx^(2),quad if x 2 is continuous.

Determine the value of the constant k so that the function f(x)={kx^(2),quad if x 2 is continuous at x=2

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

Determine the value of the constant k so that the function f(x) = {:{(2x^2 + k, if x ge0), (-2x^2 + 4, if x < 0):} is continuous at x = 0

Determine the value of the constant k so that the function f(x) = {:{(k(x^2+2), if x le 0),(3x+1, if x > 0):} is continuous at x = 0

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