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# 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...

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 depth of 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.
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. 2. Coﬀee is being poured into the mug shown below at a constant rate (that is, a constant volume of coﬀee per unit of time). Sketch a rough graph of the depth of the coﬀee in the mug as a function of time. Be sure to account for the shape of the graph in terms of concavity. 1

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