Not sure where to go, after a....
Let f be the function defined by:
. . .f(x) = (x + 1)^(1/2) for 0 < x < 3
. . .f(x) = 5 - x for 3 < x < 5
a) Is f continuous at x = 3? Explain why or why not.
b) Find the average value of f(x) on the closed interval 0 < x < 5
c)Suppose the function g is defined by:
. . .g(x) = k(x+1)^(1/2) for 0 < x < 3
. . .g(x) = mx+2 for 3 < x < 5,
where k and m are constants. If g is differentiable at x = 3, what are the values of k and m?
Let f be the function defined by:
. . .f(x) = (x + 1)^(1/2) for 0 < x < 3
. . .f(x) = 5 - x for 3 < x < 5
a) Is f continuous at x = 3? Explain why or why not.
b) Find the average value of f(x) on the closed interval 0 < x < 5
c)Suppose the function g is defined by:
. . .g(x) = k(x+1)^(1/2) for 0 < x < 3
. . .g(x) = mx+2 for 3 < x < 5,
where k and m are constants. If g is differentiable at x = 3, what are the values of k and m?
