please only answer questions 13 and 14

III. Use g(x) = x Zx+5 Hint: refer to #2 (5pts. each) 10. Find and discuss: a) the critical values for f using the rst derivative and the number line in order to b) name the intervals where f is increasing/ decreasing, and c) name the local extrema paints: 11. Find and discuss: a) the second derivative and the number line to describe: 1)) the intervals where f is concave up [down and name c) any points of inection. 311 , nd (10 pts. total) 12. If g(x) = 2H5 a. The domain b. Vertical asymptote(s) c. The y-intercept(s) d. The x-intercept(s) e. Horizontal asymptote(s) 1". Put the above information on the graph, labeling points where necessary g. Using the above information and the information from #'s 12 and 13 neatly sketch the graph using the above information. 13.A company manufactures and sells x computers per month. If the price function is give as p = 300 3% and the cost function is C(x) = 90, 000 + 30x, nd the following: (10 pts total) a) The revenue function, R(x) b) The prot function, P(x) c) The marginal prot tundion, P'(x) d) The maximum number of x units produced to maximize the prot. 3) Verify using the second derivative that the value x is a maximum f) The maximum prot when x is the value found in d) 14.11\" the area of a rectangle is 36 inz, nd the dimensions of the rectangle to minimize the perimeter. (4 pm)