(Question 6) 12 points (a) On what intervals is f increasing ? (Enter your answer using interval notation.) (b) On what intervals is f decreasing ? (Enter your answer using interval notation.) (c) At what value(s) of x does f have a local maximum ? (Enter your answers as a comma-separated list.) (d) On what interval(s) is f concave upward? (Enter your answer using interval notation.)

(Question 9) 8 points Graph of the position function of a particle is shown, where t is measured in seconds.     a. When the particle is speeding up ? (Enter your answers using interval notation.)   b. When the particle is slowing down ? (Enter your answers using interval notation.)  

(Question 4) 8 points Sketch a possible graph for a continuous function  that has ALL the stated conditions.  Label your graph. The domain of is the interval

(Question 10) 15 points Consider the function

(Question 9) 8 points A. What is the total area between curves for

(Question 7) 15 points Suppose is a positive real number and that

(Question 2) 8 points Let

 (Question 9) 8 points A. What is the total area between curves for

 (Question 8) 6 points

(Question 5) 8 points A closed box with a square base is produced using metal for the square bases and plastic for the sides.  The material costs are $10 per square inch for metal and $2 per square inch for plastic. The volume of this box is to be 1000 in3. Draw and label a figure representing this situation. Write an equation for the total cost to produce this box. Use calculus to find the dimensions of the box that minimize the total cost. Show your analysis.