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Unbelievable shapes can be created by using the implicit plotting capabilities of a computer algebra systems. Use a graphing calculator or graphing system to graph the curve: y(y -1)(y-2)=x(x-1)(x-2). Include an image or sketch of the resulting graph. 1. At how may points does this curve have horizontal tangent lines? Estimate the x-coordinates of these points. 2. Find the equations of the tangent lines at the points (0,1) and (0,2) 3. Find the exact x-coordinates of the point where the curve has horizontal tangent lines. 4. Create even more fanciful and unbelievable curves by modifying the equation or creating your

Unbelievable shapes can be created by using the implicit plotting capabilities of a computer algebra systems. Use a graphing calculator or graphing system to graph the curve: y(y -1)(y-2)=x(x-1)(x-2). Include an image or sketch of the resulting graph. 1. At how may points does this curve have horizontal tangent lines? Estimate the x-coordinates of these points. 2. Find the equations of the tangent lines at the points (0,1) and (0,2) 3. Find the exact x-coordinates of the point where the curve has horizontal tangent lines. 4. Create even more fanciful and unbelievable curves by modifying the equation or creating your

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Unbelievable shapes can be created by using the implicit plotting capabilities of a computer algebra systems. Use a graphing calculator or graphing system to graph the curve: y(y-1)(y-2)=x(x-1)(x-2). Include an image or sketch of the resulting graph. 1. At how may points does this curve have horizontal tangent lines? Estimate the x-coordinates of these points. 2. Find the equations of the tangent lines at the points (0,1) and (0,2) 3. Find the exact x-coordinates of the point where the curve has horizontal tangent lines. 4. Create even more fanciful and unbelievable curves by modifying the equation or creating your own unique curve. Include the equation and a sketch or image of your graph.
Transcribed Image Text:Unbelievable shapes can be created by using the implicit plotting capabilities of a computer algebra systems. Use a graphing calculator or graphing system to graph the curve: y(y-1)(y-2)=x(x-1)(x-2). Include an image or sketch of the resulting graph. 1. At how may points does this curve have horizontal tangent lines? Estimate the x-coordinates of these points. 2. Find the equations of the tangent lines at the points (0,1) and (0,2) 3. Find the exact x-coordinates of the point where the curve has horizontal tangent lines. 4. Create even more fanciful and unbelievable curves by modifying the equation or creating your own unique curve. Include the equation and a sketch or image of your graph.
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