Math 105 Quiz 2 Name Important!!! Please read and sign before starting your quiz. This assignment is due to the dropbox by Saturday, July 29 at 10:00 a.m. I understand that by signing below, I know that in order to receive full credit for each problem on the quiz, I must show how I set up the problem. I must also show 1 other step. So, I must show a minimum of 2 steps. I must show 2 steps even if I use my calculator (identify method). I understand that if I do not show sufficient work (2 steps or more), I may lose points on a problem, even if the answer is correct. I must use calculus methods to receive full credit. Signed 1. Use the Second Derivative Test to find all local extrema, if the test applies. Otherwise, use another calculus method. Write any local extrema as an ordered pair. If none, write \"None\". () = 8 + 20 local maximum: local minimum: Math 105 Quiz 2 Name 2. The sales function for a product is given by () = 85 + 180 4 , where x represents thousands of dollars spent on advertising,0 50, and S is in thousands of dollars. Find the point of diminishing returns (i.e. the inflection point). Determine the amount spent on advertising as well as the sales in dollars (i.e. give both coordinates). Show all calculus steps for full credit. Point of diminishing returns: Amount Spent on Advertising: Sales in dollars: Math 105 Quiz 2 Name 3. Graph the following polynomial using calculus methods. () = + 4 48 + 2 List local extrema and intervals of concavity and inflection point(s) if they exist. Write \"NONE\" if they do not exist. Mark the scale on the graph for the x and y axis. local maximum: local minimum: concave up: concave down: inflection point(s): \fScanned by CamScanner Scanned by CamScanner Scanned by CamScanner Scanned by CamScanner Scanned by CamScanner Scanned by CamScanner Scanned by CamScanner