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This is a Matlab coding question. Please solve only number 2, which is based on the first image. Skip the first question. 4. Two distances

This is a Matlab coding question. Please solve only number 2, which is based on the first image. Skip the first question.

image text in transcribed

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4. Two distances are required to specify the location of a point relative to an origin in 2-D space . The horizontal and vertical distances (x, y) in Cartesian coordinates . The radius and angle (r, theta) in polar coordinates It is relatively straightforward to compute Cartesian coordinates (x, y) on the bases of polar coordinates (r, theta). The reverse process is not so simple. The radius can be computed by the following formula: r -/x2 + y2. If the coordinates lie within the first or fourth quadrants (i.e., x >0), then a simple formula can be used to compute theta: 0 tan) The difficulty arises for other cases. A table is given below that summarizes the possibilities

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