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r
radial distance from the origin (distance from origin)
dx/d theta
how horizontal position changes as angle turns (moving left/right)
dy/d theta
how vertical position changes as angle turns (moving up/down)
dr/ d theta
how radius changes as angle turns
dy/dx
actual slope of the tangent line on the graph
dr/dt
how distance from origin changes over time
moving towards origin
when r and dr/d theta have different signs
moving away from origin
when r and dr/d theta have same signs