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Suppose that , , and .  What can we conclude about the behavior of g(x) at x=4?

Suppose we want to find the dimensions of a rectangle with a perimeter of 76 feet that has the maximum area.  Write the equation (of one variable) to be maximized.

A company manufactures and sells x mechanical pencils per month.  The monthly revenue function is 

The weekly marginal profit for an output of x units is given by 

Which of the following will calculate the area bounded by and ?

The linear approximation to the function  near  is given by .  Will  overestimate or underestimate the value of  near ?  Explain your answer using calculus.

Which of the following is a possible antiderivative of 

The graph of is given below.  Evaluate 

A rectangular pen is built with one side against a river.  Five hundred meters of fencing are used for the other three sides of the pen.  Suppose we wanted to find the dimensions that will maximize the area of the pen.  Write the equation (of one variable) to be maximized.

Mitral Valve Prolapse Syndrome (MVPS) results in increased risk for developing which of the following?