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Maths Puzzle
Numerical Ability
(a+ib)^2
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Mephis, Tennessee, is growing ata rate of 0.36% per year. Find how long, to the nearest tenth of a year it will take an initial population of 650,000 to increase to 700,000. Use the population growth formula y= y0e^kt
Let x1 < x2 <.....<xm, For i = 1,......,m, define linear operators Ti: Pn(R)--> R^1 by TiP=P(Xi). If m<=n, show that (T1,....,Tm) is linearly independent. What happens if m> n? exp