Which of the following statements is/are true?

if f '(x) > 0 on (a, b), then f(x) is increasing on [a, b].
if f(a) = f(b), then there exists a number c in (a, b) such that f '(x) = 0.
if f(x) is differentiable at x = c, then f(x) is continuous at x = c.
i only
ii only
i and iii only
i and ii only

:i need some real : a store sells shirts to the public at one pricing scale and wholesale at another pricing scale. the tables below describe the cost, y, of x shirts. (after tables) how do the slopes of the lines created by each table compare? the slope of the public table is 3/4 of the slope of the wholesale table. the slope of the wholesale table is 3/4 of the slope of the public table. the slope of the public table is 12 times greater than the slope of the wholesale table. the slope of the wholesale table is 12 times greater than the slope of the public table.

An ice cream shop sells 5 times as many cakes cones as waffle cones. use x to represent the number of waflle cones the ice cream shop sells and use the variable to write an expresion for the number of cake cones the ice cream shop sells. enter the expression for the number of cake cones the the ice cream shop sells

Given the numbers 6, 8, 10, and 20, what number when added would make the average of all five numbers 12? 1. (4) 2. (10) 3. (16) 4. (22) 5. (28)