Nimnath

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3. Confused About Flipping the > < Signs

Your approach seems fine to me. 

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3. Calculus differentiation - finding maxima of combined area

We first look for a critical point, i.e. where the first derivative is zero. But this could be a minimum, maximum or neither. To find which one it is, we can check the sign of the first derivative,...

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3. Complex Logarithms

Since you have one equation and three unknowns it will not have a unique solution but will have many solutions. For example, a = 1/2, b = c = 0 and a = 0, b = 0, c = 1

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3. Coordinate plane based on tangents to a circle.

I think I understand the method you are proposing. You would have to indicate the radius of the circle as well, along with the two angles. And there should be a method to cover the points inside th...

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3. Coordinate plane based on tangents to a circle.

Good thinking, Janaandbillysc . Perhaps what you are interested in is polar coordinates.  hhttps://www.khanacademy.org/computing/computer-programming/programming-natural-simulations/programming-ang...