Unbelievable shapes can be created by using the implicit plotting capabilities of a computer algebrasystems. 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 ofthese 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 yourown unique curve. Include the equation and a sketch or image of your graph.

Answered: Unbelievable shapes can be created by…

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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computer graphics search about simple utility curve link: https://www.codeproject.com/Articles/5267642/A-Simple-Utility-for-Drawing-Function-Curves
What is the implicit equation of the plane through 3D points (1,0,0), (0, 1, 0), and (0, 0, 1)? What is the parametric equation? What is the normal vector to this plane?
I need help with MATLAB programming. The following code graphs a ellipsoid and a line. I need to create a line that is perpendicular to the H line and tangent to the ellipsoid. I also need to plot it in the graph. Can you help me with that? % Initial Conditionsw = 3;beta = deg2rad(45);I = [150; 400; 400]; w_NU = w*[cos(beta); 0; -sin(beta)]H_NU = [I(1)*w_NU(1); I(2)*w_NU(2); I(3)*w_NU(3)]T = (0.5)*dot(w_NU,H_NU);scal_c = sqrt(2*T); a = I(1)^(-1/2) * scal_cb = I(2)^(-1/2) * scal_cc = I(3)^(-1/2) * scal_c figure;[x, y, z] = ellipsoid(0, 0, 0, a, b, c);h2 = surf(x, y, z,'FaceColor', [0.8500 0.3250 0.0980]);hold on % Plotting Angular Momentum vectorplot3([0 (H_NU(1)/200)], [0 0], [0 (H_NU(3)/200)], 'k', 'Linewidth', 2) text(1.7, 0, -4.5, '$$\bar{H}$$', 'Interpreter', 'latex', 'Color', 'k', 'FontSize',14);quiver3(H_NU(1)/200, 0, H_NU(3)/200, 0.01, 0, -0.01, 'k', 'LineWidth', 8); alpha(h2, 0.5); view(0, 0);zlim([-5 5]);hold off
1- Use the scan-line algorithm to calculate the coordinates of the filling pixels of the two-dimensional area defined by the polygon constituted by the vertices A(3,1), B(6,5), C(3,8), D(3, 4) and E(0.4). (No code, analytical solution only)
Ex. 3.1 Construct the scatterplot of the heptathlon data showing the contours of the estimated bivariate density function on each panel. Is this graphic more useful than the unenhanced scatterplot matrix? Ex. 3.2 Construct a diagram thot
Submit solutions to the following problems in a single pdf document preferably completed using LaTeX. It is likely that you will need to use programming (Python) or a matrix calculator to solve most of the problems. You do not need to submit the code, but you should include explanations of all your conclusions. 3. Consider the cat polygon with vertices at (0, 0), (3, 3), (3, 6), (2, 7), (1, 6), (-1, 6), (-2, 7), (-3, 6), and (-3, 3). a. Write a single matrix that will make the cat's face twice as tall, half as wide, and rotate anti- clockwise 45 degrees. What is the determinant of the transformation matrix? b. Calculate the area of the cat's face prior to transformation and after the transformation. How does the change in area relate to the determinant of the transformation matrix?
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a) For the first image (pentagon graph) can you show how the graphs are isomorphic aand also label the verticies b) For the second image (square graph) can you explain why the graphs are no isomorphic
Solve step by step in digital format
This is a Computer Graphics Question on Projection. Question: Let a 3D point (-5, -6, -423) be projected on a projection plane located at (0, -43, 0). Determine the coordinate of that 3D point on the projection plane using an orthographic parallel projection matrix.

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