Instructions: You may work on this in groups of up to three people. If you work in a group please hand in only one copy with all of the group members' names on it. An environmental fee will be charged to groups that do not follow this rule. NOTE: My definition of a group includes equal contributions from all members on all problems. All group members should be able to explain any result turned in for credit on this assignment. If your group falls apart mid-way through the assignment please state clearly who did which problem. ALSO NOTE: With probability very close to one, no two groups' assignments should look alike. If four of you work together and print off two versions of the same assignment pretending to be two groups I will know and will reduce scores by an appropriate factor (2 in this example) IMPORTANT: Please answer questions in a neat and organized manner. Specifically, this means that you should use complete sentences and make sure that any graph you expect me to understand (and grade!) has axes and curves labelled (you can do this by hand after you print the graph if that is easiest). Note that different colored curves look the same when printed in black and white. Also, recognize that quantity of pages, graphs and numerical output does not necessarily correspond to quality. Please do not turn in Mathematica output without accompanying explanations. Feel free to suppress failed attempts when printing pages You have over two weeks to complete this assignment. Plan to finish it early. There will be 10% deduction in your score if you do not turn in a hard copy of this assignm!ent at the beginning of class on the due date or earlier. Every subsequent calendar day (counting weekend days and spring break days) late will result in an additional deduction (two days = 20%, three days 30%, etc.) until I have completed grading the assignments at which time no further late assignments will be accepted Pro Tip: There are helpful commands listed at the end of this assignment. Read through them and test out a few of them before starting on the assignment. 1. (15 pts) Evaluate the limit (or determine that it DNE) wher f(x) 3 in three ways (a) Calculate and write out a table of function values for the function f(x) as r approaches 0 (use Mathematica to calculate the function values but write out the table by hand if it is easier). The whole point of making the table is to help evaluate this limit (what value does the function approach?) so choose your values of r wisely. Instructions: You may work on this in groups of up to three people. If you work in a group please hand in only one copy with all of the group members' names on it. An environmental fee will be charged to groups that do not follow this rule. NOTE: My definition of a group includes equal contributions from all members on all problems. All group members should be able to explain any result turned in for credit on this assignment. If your group falls apart mid-way through the assignment please state clearly who did which problem. ALSO NOTE: With probability very close to one, no two groups' assignments should look alike. If four of you work together and print off two versions of the same assignment pretending to be two groups I will know and will reduce scores by an appropriate factor (2 in this example) IMPORTANT: Please answer questions in a neat and organized manner. Specifically, this means that you should use complete sentences and make sure that any graph you expect me to understand (and grade!) has axes and curves labelled (you can do this by hand after you print the graph if that is easiest). Note that different colored curves look the same when printed in black and white. Also, recognize that quantity of pages, graphs and numerical output does not necessarily correspond to quality. Please do not turn in Mathematica output without accompanying explanations. Feel free to suppress failed attempts when printing pages You have over two weeks to complete this assignment. Plan to finish it early. There will be 10% deduction in your score if you do not turn in a hard copy of this assignm!ent at the beginning of class on the due date or earlier. Every subsequent calendar day (counting weekend days and spring break days) late will result in an additional deduction (two days = 20%, three days 30%, etc.) until I have completed grading the assignments at which time no further late assignments will be accepted Pro Tip: There are helpful commands listed at the end of this assignment. Read through them and test out a few of them before starting on the assignment. 1. (15 pts) Evaluate the limit (or determine that it DNE) wher f(x) 3 in three ways (a) Calculate and write out a table of function values for the function f(x) as r approaches 0 (use Mathematica to calculate the function values but write out the table by hand if it is easier). The whole point of making the table is to help evaluate this limit (what value does the function approach?) so choose your values of r wisely
