Module 6 Assignment Notebook actual

.pdf
School
Michigan Technological University **We aren't endorsed by this school
Course
MA 1160
Subject
Mathematics
Date
Oct 26, 2023
Pages
7
Uploaded by BarristerOstrich3724 on coursehero.com
Module 6 Assignment Notebook Work through the Module questions and the associated quiz showing all of the required work in the appropri- ate area below. At the end of the module will be enter answers into the quiz. When you are done save the notebook as a PDF and upload it to the Module assignment where you will earn points for the plots and other work. Printed by Wolfram Mathematica Student Edition
Question 1 In[ ]:= ContourPlot [ x^3 - 7 x * y 2, { x, - 6, 6 } , { y, - 6, 6 }] ContourPlot [ x^3 + y^3 6 x * y, { x, - 6, 6 } , { y, - 6, 6 }] Out[ ]= - 6 - 4 - 2 0 2 4 6 - 6 - 4 - 2 0 2 4 6 Out[ ]= - 6 - 4 - 2 0 2 4 6 - 6 - 4 - 2 0 2 4 6 2 Module 6 Assignment Notebook actual.nb Printed by Wolfram Mathematica Student Edition
The first one is a function. This is because the first one passes the vertical line test, where no more than one point touches a single x value, while the second function does not pass. Question 2 In[ ]:= Solve [ D [ x^ ( 1 / 2 ) - Sin [ 2 * x ] 3 x * y [ x ] , x ] , y' [ x ]] Solve [ D [ y [ x ] * Cos [ x ] x^2 + y [ x ] ^2, x ] , y' [ x ]] Out[ ]=  y [ x ] 1 - 4 x Cos [ 2 x ] - 6 x y [ x ] 6 x 3 / 2  Out[ ]=  y [ x ] 2 x + Sin [ x ] y [ x ] Cos [ x ] - 2 y [ x ]  Question 3 In[ ]:= ContourPlot [ x^4 + y^2 - 14 3 y, { x, - 3, 3 } , { y, - 4, 6 }] Out[ ]= - 3 - 2 - 1 0 1 2 3 - 4 - 2 0 2 4 6 In[ ]:= Solve [ D [ x^4 + y [ x ] ^2 - 14 3 y [ x ] , x ] , y' [ x ]] Out[ ]=  y [ x ] - 4 x 3 - 3 + 2 y [ x ]  Module 6 Assignment Notebook actual.nb 3 Printed by Wolfram Mathematica Student Edition
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