Identify and sketch the graph of the conic described by the quadratic equation x^2 + 4xy + y^2 - 12 = 0. Do this by writing this equation in matrix form; then change the equation to a sum of squares of the form x'^T Dx' where D is a diagonal matrix.

Solution Preview

Solution. We can find the matrix of the quadratic form , denoted by A as follows
1 2
2 ...

Solution Summary

This shows how to identify and sketch a grph using the matrix form of an equation.

... Computer generated graph will not be accepted. Solution: ... Asymptotes will be and. This posting includes detailed solutions to some questions on conics. ...

...Graphing the concentration function, we have: Conic Sections and 4. We can see from the graph than initially, the concentration level is at 23. Then as months. ...

... Sketch a graph of the amount of water in the tank as a function of time (amount of water-time graph) that would reasonably match the given ... a) Conical drum. ...

... You can use the Matlab meshgrid and contour functions to plot conic sections. ... of X and Y points 7: Calculates Z for each entry of (X,Y) 8: Draws the graph of Z ...

... Would a graph of y = 6 + 5 cos x mean anything? ... 4. The highway department keeps its sand in a conical storage building that is 24 feet high and 64 feet in ...

... 8. Create a graph with precisely two odd vertices and two even vertices. ... 16. A conical water tank has a base with a diameter of 6 ft and is 10 ft tall. ...

... find the length of the cable? 3) A conical tank is resting on its apex. ... Solution: Consider the graph of y = 0.06 x 3 2 for x within the range from 0 to 200. ...

... By seeing information in black and white, with words, charts, graphs, or other visual depictions, managers and other staff get an ... How far have we conic?" can't ...