Challenge Exercises: The following exercises are of a greater difficulty than the earlier ones, though still matched to our course objectives. These exercises are not intended to prepare you for test questions, instead they expose you to more complex, real-world scenarios. You may struggle more with these questions than the Routine exercises. Remember your problem solving strategies! Read carefully and repeatedly. What words are familiar in the problem statement? What terms have been defined in the class, versus what is being provided to you within the exercise itself? Who can you work with for assistance? 4. The shareholder satisfaction (which can be any real number between 0 and 20) for the shareholders of a publicly-traded company can be predicted by the following model S(v) 20v e+3 where u is the value (in dollars per share) of the common stock owned by the shareholders. (a) Fill in the missing entries of the table using the formula for predicted shareholder satisfaction, Value Predicted Satisfaction -3.1 -3.01 -2.99 -29 -2 0 10 100 1000 10000 (b) Write a sentence to interpret what the entry for w = 10 means in the applied context. Include units, where appropriate. Written Work #2: Sections 1.5 - 1.6 and 2.1 Math 241, Fall '21 (c) Fill in the blanks below so that the resulting limit expression has the following interpretation: "as the value of common stock approaches -3 dollars per share from the right, this is the value that the predicted shareholder satisfaction approaches." (d) Use the table of values to make an informed guess about the value of the limit in the previous part. (e) Use algebra and limit properties to determine lim S(v). [Note: You may use your table of values from (a) as a check on your answer, but your answer cannot be based solely on your numerical computations in the table.]