Optimization Assignment #1 Due Date: Tuesday 11/16 Purpose: The purpose of the assignment is: 1) to improve the communication of your mathematics, 2) to demonstrate your mathematical reasoning, and 3) to demonstrate your ability to work optimization problems. Student Learning Outcomes addressed in this assignment: apply calculus to solve practical and/or scientific problems including optimization problems; analyze and communicate quantitative ideas using multiple representations, including words, numeric data, symbolic notations, and/or graphs. Assignment: For this Optimization Assignment, you are to write the solution to two problems with clarity and detail. . You are to complete two problems. You are to include a restatement of the problem before your work for each problem. . You are to include a cover page with the problems. The problems are from Section 4.7. The problems you are to do include: . # 10, give both the exact answers and rounded to the nearest tenths place In the restatement of the problem for #10, please include the facts from #9. (The closed box has a square base, and Volume = 2000 m3.) # 46 Criteria: Each of the 2 problems is worth 9 points, and the cover page is 2 points. The rubric for each problem is given below. The total points for the project is 20. Excellent/Complete Proficient/Substantial |Marginal/Partial Poor/Little Calculus (3) Accurate, (2.5) Missing one or (2) A few errors (0.5-1) Missing Accuracy includes all steps two, or inaccuracies many/or incorrect Algebraic (3) Accurate, (2.5) Missing one or (2) A few errors (0.5-1) Missing Accuracy includes all steps two, or inaccuracies many/or incorrect Math (2) Accurate, (1.75) Mostly correct (1.3) A few (0.25-0.75) Language appropriate usage reasoning & language errors Many errors Problem 1) Rewrites (0.8) Mostly correctly (.6) Rewrites (0) Doesn't Restatement problem correctly rewritten incorrectly restate