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Test Exercise 1 – Mathematical PreliminariesSimplify [pic 1]= [pic 2]= [pic 3][pic 4]= [pic 5]= [pic 6][pic 7]= [pic 8]Solve the equations[pic 9]⊏[pic 10][pic 11][pic 12][pic 13][pic 14][pic 15][pic 16][pic 17]Determine the range of values for which the following inequalities are true[pic 18][pic 19][pic 20][pic 21][pic 22][pic 23][pic 24][pic 25]a) [pic 26][pic 27][pic 28]b) = 3750.