Math 142 Communication Assignment #2 (50 Points) Spring 2014

ASSIGNMENT:For this assignment you are asked to complete the workout problem detailed below. Your grade will be based on accuracy, execution, completeness, organization, neatness and your ability to communicate your understanding of course material (see the grading rubric below for more details).

This assignment is intended to better prepare you to properly communicate your work on problems similar to those you will see on graded reviews. You may handwrite or type any part of this assignment, ensuring that all work is both neat and professional.

PROBLEM:Consider the solid of revolution formed by rotating the region bounded by the function f ( x )=−3x2+x3 and the lines x=1, x=3, and y=2 around the y-axis.

a) Graph the 2-dimensional area that is being revolved around the y-axis.

b) Use one of the following slicing methods to solve for the volume of the solid of revolution: 1) Disks 2) Washers 3) Cylindrical Shells. Define the volume of a generic slice, and then develop an expression that adds a finite number of slices together to estimate the total volume. Take the limit as the number of slices approaches infinity and solve for the true volume of the solid.

c) Explain why you chose the method you used to find the volume. Would either of the other two methods be an appropriate method to find the volume? Why or why not?

Math 142 Communication Assignment #2 (50 Points) Spring 2014

GRADING RUBRIC:Well-Executed

▫ Applies a strategy that makes sense for the given question

▫ Applies appropriate mathematical concepts and processes

▫ Does not introduce superfluous material

▫ Technology is used appropriately▫ Work is logical and includes a sanity

check of the final answer

Well Communicated▫ Readable: Work stands alone (retains

context) and is neat and professional in appearance

▫ Organized: Provides a clear logical flow from beginning to end

▫ Provides sufficient supporting detail and explanation throughout

▫ Work is free from grammatical errors▫ Mathematical composition,

terminology, and notation is correct▫ Results and/or conclusions are clearly

annotated

Essentially Correct▫ Precision: Performs mathematical

operations correctly and derives the correct results

▫ Uses an appropriate degree of accuracy▫ Draws correct inferences from graphical

or numerical data▫ Any computational or algebraic errors

are trivial and isolated▫ Correct units are used

COMMUNICATION ASSIGNMENT ROE

AUTHORIZED RESOURCES: Anyone and anything with the following exceptions/clarifications:1. Individual effort on this assignment is highly encouraged, however, you may discuss your

thoughts and ideas with other students to work out any difficulties you have with understanding the material.

2. You must do the assignment yourself and submit your own work (type/write your own work). 3. You may go to the Writing Center to receive help (including proofreading). 4. You are not allowed to directly copy another person’s work.

DOCUMENTATION: All help received and all resources referenced must be documented at the end of the assignment.

FORMAT: The format for this assignment is the same as the format for a graded review workout problem. All work must be coherently written, easy to follow, and professional looking and completed on 8 ½ by 11 inch paper. If you have poor handwriting, consider typing your work.

DUE DATE: This assignment is due at the beginning of class on Lesson 16. Late submissions will receive a penalty of 10 points per lesson.Note: If documentation is not submitted on time is insufficient, your instructor may also apply a 10 point late penalty. An additional 10 point penalty per lesson will be applied until your documentation is properly submitted.