# 11.6

 .remove_background_ad { border: 1px solid #555555; padding: .75em; margin: .75em; background-color: #e7e7e7; } .rmbg_image { max-height: 80px; } How do you find the trace for a shape? set one variable to zero and get the equation containing the other 2. What contains 2 ellipses and a circle? an ellipsoid What contains 2 lines and a parabola? A paraboloid what contains 3 circles? a sphere What contains 2 criss crosses and a point elliptic cone What contains an ellipse and 2 hyperbolas? hyperboloid of one sheet Give an example of a hyperboloid of one sheet a nuclear power plant What is the relationship of an elliptic cone as the z increases? The radius begins to expand What contains no trace and 2 hyperbolas? a hyperboloid of two sheets what contains a point, parabola and hyperbola? elliptic paraboloid What contains a point, parabola and upside down parabola? hyperbolic paraboloid x + 3y + z = 4 xy: x +3y = 4xz: x +z = 4zy: 3y + z = 4 x2 + y2 + z2 = 16 what is the shape? xy: x2 + y2  = 16   circlexz: x2 +  z2 = 16   circlezy:  y2 + z2 = 16   circle sphere x2 / 3.32   +   y2 / 5.32   +   z2 / 3.32   = 1 What is the shape? Ellipsoid z = y2 What is the shape? Paraboloid x2 / 16    +    y2/16   -   z2/4 = 0 What is the shape? Elliptic Cone x2 / 4   +   y2 / 9   -   z2 / 16    =   1 What is the shape? Hyperboloid of one sheet z2 / 9  -  x2 / 0  -  y2 / 25  =  1 What is the shape? Hyperboloid of 2 sheets z = x2 / 4  +  y2 / 25 What is the shape? Elliptic paraboloid z  =  x2 / 9  -  y2 / 16 What is the shape? hyperbolic paraboloid .remove_background_ad { border: 1px solid #555555; padding: .75em; margin: .75em; background-color: #e7e7e7; } .rmbg_image { max-height: 80px; } AuthorNateGatsby ID201110 Card Set11.6 Descriptioncalc1 Updated2013-02-17T06:17:45Z Show Answers