Determine the constant k so that the function `f(x)_={(sqrt(7x+2)-(sqrt(6x+4)))/(x-2), if x >=-2/7,x != 2 k, if x=2` may be continuous.

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

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) = {:{((sin2x)/(5x), if x ne 0),(k, if x = 0):} is continuous at x = 0

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

Q.Determinethe 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

Integrate the functions 1/(sqrt(7-6x-x^2)

Determine the constant k, so that the function f(x) = {{:((x^2- 9)/(x -3)"," ,x != 3),(k",", x = 3):} is continuous at x=3.

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