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Material Type: Project; Professor: Wachsmuth; Class: Honors Calculus II; Subject: Mathematics; University: Seton Hall University; Term: Spring 2005;
Typology: Study Guides, Projects, Research
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Instructions: You must type all answers to the following questions into a Maple worksheet (which should also contain your name). You must send me that Maple worksheet as an attachment to an email message to me (wachsmut@shu.edu) on or before May 6, 2005. You are required to complete this assignment on your own, but you may use Maple, and/or any type of calculator, and/or any Calc book you like. It is perfectly okay to use Maple to help you with any calculation, but if you rather do the calculations manually, that would be fine as well as long as you type up sufficient explanations in your Maple worksheet. To answer the various “conjectures”, type as much as you feel is necessary to convey your ideas. Support your conjectures with Maple plots or computations, if appropriate. I know it is exceedingly easy to “copy” assignments like this – any plagiarism or cheating I detect it will result in 0 points for every project involved and any further action that seems appropriate. Note that all projects differ slightly. If you have any questions, please send me electronic mail as soon as possible.
x ( t ) 4 cos( t ) y ( t ) 2 sin( 2 t )
x ( t )cos^3 ( t ) y ( t ) 2 sin^3 ( t )
x ( t )cos( t ) t sin( t ) y ( t )sin( t ) t cos( t )
x ( t )cot( t ) y ( t ) 4 sin( t )cos( t )
( ) ( )cos() cos( t ) B
x t A B t B
( ) ( )sin() sin( t ) B
y t A B t B
( ) ( )cos() cos( t ) B
x t A B t B
( ) ( )sin() sin( t ) B
y t A B t B