Consider `f(x)={(3x-8,xle5),(2k,x>5):}` . Find the value of k if f(x) is continuous at x=5` .

Consider f(x)={(2x+3,xle2),(x+2k,x>2):} Find the value of k, if is continious at x=2 .

Consider f(x)={(2x+3,xle2),(x+2k,x>2):} Find f(2)

Consider a function f:RrarrR defined by f(x)={(a+x,xle2),(b-x,x>2):} Find a and b if f is continuous at x=2 and a+b=2 .

Consider a function f:RrarrR defined by f(x)={(a+x,xle2),(b-x,x>2):} Find a relation between a and b if f is continious at x=2 .

Consider f(x)={(2x+3,xle2),(x+2k,x>2):} Evalute lim_(xrarr2^+)f(x)

If {(1,xle3) , (ax+b,3 hence find the value of 'a' and 'b' so that f(x) is continuous.

Find the derivative of f(x)=cos(x-5)

Prove that the function f(x)=2x-5 is continuous at x=-2

Consider f(x)={(4x+3,1lexle2),(3x+5,2lexle4):} Evaluate int_1^4f(x)dx

Consider f(x)={((x^2-x-6)/(x+2),x ne-2),(-5,x=-2):} Find f(-2)