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CS206-Exam2-Review

CS206-Exam2-Review - CS 206 Exam 2 Review Problems Fall...

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CS 206 Exam 2 Review Problems Fall, 2009 This exam will be over material from Worksheet 4, Sections 4.10 - 4.11, Worksheet 5, Sections 5.2 - 5.5.1. Problem 1: For each of the functions given below, describe what kind function it is, what kind of graph is most appropriate for the function, and give the name of the Maple command that can draw the appropriate graph. (a) + ( ) x ( ) ln x ( ) y ( ) sin y (b) = ( ) f , x y ( ) , , + ( ) ln x ( ) sin y + ( ) ln x ( ) sin y + ( ) ln x ( ) sin y (c) + ln sin (d) x ( ) , ( ) ln x ( ) sin x (e) + ( ) ln x ( ) sin y (f) ( ) , x y ( ) , ( ) ln x ( ) sin y (g) u ( ) , , ( ) ln u ( ) sin u 0 (h) x + ( ) ln y ( ) sin x Problem 2: Part (a) A student wanted to graph a circle and used the following command. What result did the student get? What did the student do wrong? What would be the correct command? > plot( [sin, cos], 0..2*Pi ); Part (b) A student wanted to graph a circle and used the following command. What result did the student get? What did the student do wrong? What would be the correct command? > plot( x^2+y^2=1, x=-2..2, y=-2..2 ); Problem 3: A student entered the following command into Maple and received an error message. > plot( [ t, cos(2*Pi*t), sin(2*Pi*t), t=0..2 ] ); The student was probably trying to draw one of two possible kinds of graphs. Explain what the two graphs are that the student might have been trying to draw. Give the correct Maple command for each of the two graphs.

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Problem 4: The equation = - - x 2 x 2 0 has only one variable in it, but there is nothing that stops us from graphing this equation as an equation in two or three variables.
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