MAT125, Paper Homework 3 1. Let f (x) = x + x. (a) Write a limit which represents the derivative of f (x). (b) Evaluate the limit. Coee is being...

MAT125, Paper Homework 3 1. Let f(x ) = x+ p x .

(a) Write a limit which represents the derivative of f(x ).

(b) Evaluate the limit.

2. Co ee is being poured into the mug shown below at a constant rate (that is, a constant volume of co ee per unit of time). Sketch a rough graph of the depthof the co ee in the mug as a function of time.

Be sure to account for the shape of the graph in terms of concavity. 1