(i) Describe the difference between parametric, implicit and explicit curve representations. (ii) Express the unit circle centred at position (1, 2), using parametric, implicit and explicit curve representations respectively.
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- Please explain, as simplistically (but thoroughly) as possible, how to develop a k-map from a truth table to be used to simplify an equation.Examples: xz + (xy + ~z) ~xyz + yz + x~yConsider the unit square [0,1]x[0,1] suppose that the upper side of the square goes down continuously at a constant speed until it reaches the X-axis and at the same time with the same speed the line x = 0 travels continuously with a center at the origin and in a clockwise direction until reaching the same one as the previous one the curve described by the intersection of these two straight lines and called quadratrix, finds a parameterization of the curve. please give correct explanationFor each of the following Boolean properties of theorems, state the set theory interpretation: E) x * x = xF) x + x = x G) x * 0 = 0
- Refer to image and review carefully and provide correct solution(s)! Automata and ComputationDetermine whether the following proposition is a tautology.We highlighted two errors in the equation representing the motion of a body subjected to gravity: the difficulties of air resistance and the fact that the Earth is not a perfect sphere. Is this mathematical model free of extra inaccuracies? Do you believe that these additional variables should be incorporated into our falling body model? Explain why you feel they should or should not be included.
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