1) Fanciful shapes can be created by using the implicit plotting capabilities of Maple. Graph the curve with equation y(

Post by **answerhappygod** » Tue Jul 12, 2022 8:05 am

: 1 Fanciful Shapes Can Be Created By Using The Implicit Plotting Capabilities Of Maple Graph The Curve With Equation Y 1 (52.11 KiB) Viewed 111 times

: 1 Fanciful Shapes Can Be Created By Using The Implicit Plotting Capabilities Of Maple Graph The Curve With Equation Y 2 (21.55 KiB) Viewed 111 times

: 1 Fanciful Shapes Can Be Created By Using The Implicit Plotting Capabilities Of Maple Graph The Curve With Equation Y 3 (27 KiB) Viewed 111 times

1) Fanciful shapes can be created by using the implicit plotting capabilities of Maple. Graph the curve with equation y(y² - 1)(y-2) = x(x − 1)(x − 2) At how many points does the curve have horizontal tangents? Estimate the x- coordinates of these points. Find the equations of the tangent lines at the points (0,1) and (0,2) Find the exact x-coordinates of the points of these points. Create even more fanciful curves by modifying the equation . . HINT: Load the package necessary for this question by entering WITH (PLOTS): into maple. Sketch your graph by using the implicit plot command and use the graph to answer the first question. Be sure to find the derivative of our implicit function by using the implicitdiff maple command. implicitdiff(equation, y, x); Solve this derivative for x. Subs these x-values, one at a time, into your original function and solve for y. Doing this will give you all the points where functions has a horizontal tangent line. To find the equations of the tangent lines at the points (0,1) and (0,2), you will need to find the slopes of these two tangent lines by substituting these two coordinates into your derivative. Take it from there afterwards. Don't forget to create fanciful graphs.
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fins laby FIRS 1354 FX24 w G M 7 pus 4 Fancifal shapes can be cresind by using the implicit plotting capabilities of Maple Graph the curve with equacion yt-y-2--1-2). At how many points does the curve have horizontal tangents? Estimate the x coordinates of these p Find the equations of the langere lines at the points (0,1) and (0,2) Find the exact x-coordinates of the points of these points -Crease even more fancitud curves by modifying the equation HINT: Load the package secessary for this question by entering WITH (PLOTS): into maple Sketch your graph by using the implicit plot command and use the graph so awer the first question. Be sure to find the derivative ofour implication by sing the implicitiff maple command. implicis&equation, y, x, Solve this derivative for x. Subs these x-values, one at a time, into your original function and selve for y. Doing this will give you all the points where functions has a ho tangent line. To find the equations of the tangent lines at the points (0,1) and (0,2). you will need to find the slopes of these two tangent lines by substinting these two coordinates into your derivative. Take it from there afterwards. Don't forget to create fancial graph qy(y^2-1)(y-2)*(x-1)*(x-2) with (plota) displicitplot (egn, -2.4, ye-4.4, gridrefine), sise[200,2001) >dy implicitdiff(en.y.) xvalve (dys0..) -y-1)-2)-(x-1)(x-2) -2 -1.5 -1 * -0.5