Imagine that a patient’s urine sample shows an abnormally low specific gravity, hematuria, and an abnormally high level of white blood cells. Select the BEST diagnosis that would explain ALL these signs from the choices below:

Consider a company with the following capital structure.  The bank note is not a recurring loan and will be paid off within the next 6 months.  Assume the firm is at its optimal capital structure and all financing costs (r) reflect the cost of raising new capital.  The tax rate is 30%. Calculate the weighted average cost of capital.   

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.

The graph of is given below.  Evaluate 

Which of the following is a possible antiderivative of