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Question
- one art form that uses complex numbers is fractals. perform a search online for the mandelbrot or julia fractal sets. post a link to the most interesting picture you find that generates a fractal using a complex number as a part of its pattern. tell why you have chosen this image.
- explain in your own words why polar coordinates seem better suited for circular-type functions, while the rectangular coordinate system seems better suited for linear-type graphs.
- what questions do you still have about the unit? ask them here, and your classmates may give you the answers you seek.
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- Polar coordinates are better suited for circular-type functions because they define points using a radius and an angle $(r, \theta)$, allowing circles and spirals to be expressed as simple equations like $r = a$. In contrast, the rectangular coordinate system $(x, y)$ is better for linear-type graphs because it uses perpendicular axes, making straight lines easy to represent with the linear equation $y = mx + b$.