Q15c    ( 5 points) Solve the problem.Use geometry to evaluate the following definite integral. ( Give exact answer interms of 

Q14b-3 point   Provide the proper response.Give an example of a function for which the first derivative is always positive and the second derivative is always negative.

Q6c  ( 5 points)   Let D(x) be the price, in dollars per unit, that consumers are willing to pay for x units of an item, and S(x) be the price, in dollars per unit, that producers are willing to accept for x units.  Find the equilibrium point.

Q7b  ( 5 points)   Approximate the area under the graph of f(x) over the specified interval by dividing the interval into the indicated number of subintervals and using the right endpoint of each subinterval.( give your answer in three decimal places)  ; interval

Q7c-10 point   Solve the problem.Given the revenue and cost functions

Q3a  ( 5 points)   Solve the problem.Find a company’s total-cost function if its marginal cost function is

Q17c    ( 5 points)  Solve the problem.Creamy Bugs Yogurt has found that the marginal cost, in dollars per pound, of the yogurt it produces, is

Q9a-6 point   Differentiate implicitly to find the slope of the curve at the given point.  

Q10c-6 point   Find the points of inflection. Determine where the given function is concave up and where it is concave down.  

 Q4a-5 point   Find the relative extrema of the function, if they exist.