3. take the set s = {(10)) cr^2, where r^2 is a so-called cartesian product.' a) plot the set. b) is the set convex? if yes, explain why. if no, explain how you could convexify the set, what the smallest convexification would be (if that exists), and indicate it in your graph.

a) The first image is the plot of the set S. The plot correspond only to the four points.

b) The set is not convex because the points that lies in the segment between (1,5) and (5,1) doesn't belong to the set.

The set can be convexifies adding the linear combinations of the points of S.

The graph of smallest convexification of the set is in the second image that correspond to the polygon with vertices (1,5),(5,1),(4,4),(0,0).

13

step-by-step explanation:

169-1=168

168-3=165

165-5=160

160-7=153

153-9=144

144-11=133

133-13=120

120-15=105

105-17=88

88-19=69

69-21=48

48-23=25

25-25=0

since it took 13times to completely subtract it hence its square root is 13

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