1) Plot the folium of descartes x^3+y^3-3xy=0 a) Can you make up a curve from a relation...
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Question:
1) Plot the folium of descartes x^3+y^3-3xy=0
a) Can you make up a curve from a relation that satisfies xRy iff yRx
2) Consider functions not on rectangular but polar coordonates:
R=f(theta) where theta is greater or equal to zero but below 360 degree
Here, theta is the angle from the radial axis R
Sketch some curves by choosing a random expression of f (polynomials, sine, square-root, absolute value etc) and sketch the results
What is the visual rule that shows you the curve is the graph of a polar function r=f(theta) analogus to the vertical line rule for rectangular functions y=f(x)?
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