Graph x^2=y^2z^2 WolframAlpha Rocket science?3 Answers3 Write it as x 2 z 2 = y 2 Note that y is the hypotenuse of a triangle with length x and height z So, this forms a circular cone opening as you increase in y or decrease in y This figure is the (double) cone of equation x 2 = y 2 − z 2 The gray plane is the plane ( x, y) You can see that it is a cone noting that for any y 0 = x^2y^28x6y16 = (x4)^2 (y3)^2 3^2 is a circle of radius 3 with centre (4, 3) The equation of a circle of radius r centred at (a, b) can be written (xa)^2(yb)^2 = r^2 We are given 0 = x^2y^28x6y16 =x^28x16 y^26y9 9 =(x4)^2 (y3)^2 3^2 So (x4)^2(y3)^2 = 3^2 which is in the form of the equation of a circle of radius 3 centre (4, 3) graph
X 2 Y 2 Z 2 R 2 Graph Novocom Top
