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. We know that the equation x2 + y² = 1 represents a circle of radius 1. Imagine drawing a version of the cartesian plane, where now the vertical axis is the variable "r" of polar coordinates, and the horizontal axis is the angle "0" of polar coordinates. With respect to this "r" plane, how does the equation of the circle look like? . Now consider the hyperbola y = (you may use Geogebra if you want to see how it looks). Suppose we introduce two new variables "u" and "v" such that zve", y=ve". If you draw the "uv" plane, where "u" is the horizontal axis and "v" is the vertical axis, how does the hyperbola look like on this new plane?

. We know that the equation x2 + y² = 1 represents a circle of radius 1. Imagine drawing a version of the cartesian plane, where now the vertical axis is the variable "r" of polar coordinates, and the horizontal axis is the angle "0" of polar coordinates. With respect to this "r" plane, how does the equation of the circle look like? . Now consider the hyperbola y = (you may use Geogebra if you want to see how it looks). Suppose we introduce two new variables "u" and "v" such that zve", y=ve". If you draw the "uv" plane, where "u" is the horizontal axis and "v" is the vertical axis, how does the hyperbola look like on this new plane?

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l . We know that the equation x2 + y² = 1 represents a circle of radius 1. Imagine drawing a version of the cartesian plane, where now the vertical axis is the variable "r" of polar coordinates, and the horizontal axis is the angle "0" of polar coordinates. With respect to this "Or" plane, how does the equation of the circle look like? • Now consider the hyperbola y = (you may use Geogebra if you want to see how it looks). Suppose we introduce two new variables "u" and "v" such that ave", y = ve ". If you draw the "uv" plane, where "u" is the horizontal axis and "v" is the vertical axis, how does the hyperbola look like on this new plane?
Transcribed Image Text:l . We know that the equation x2 + y² = 1 represents a circle of radius 1. Imagine drawing a version of the cartesian plane, where now the vertical axis is the variable "r" of polar coordinates, and the horizontal axis is the angle "0" of polar coordinates. With respect to this "Or" plane, how does the equation of the circle look like? • Now consider the hyperbola y = (you may use Geogebra if you want to see how it looks). Suppose we introduce two new variables "u" and "v" such that ave", y = ve ". If you draw the "uv" plane, where "u" is the horizontal axis and "v" is the vertical axis, how does the hyperbola look like on this new plane?
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