1. For each, circle either True or False. please add anexplanation to each one so i can understand thereasoning
(a) (1 point) A continuous function is always integrable.T/F
(b) (1 point) A differentiable function is always continuous.T/F
(c) (1 point) An integrable function is always differentiable.T/F
(d) (1 point) If c is a critical value of function f then f(c)is a relative maximum. T/F
(e) (1 point) If c is a relative minimum of function f then c isa critical value of f. T/F
(f) (1 point) If f is not differentiable at a then f(a) does notexist. T/F
(g) (1 point) f00(c) = 0 implies c is an infection point.T/F
(h) (1 point) A relative maximum is always an absolute maximum.T/F