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number of lawns mowed in first 8 weeks = 8*3 = 24 number of lawns mowed in last 4 weeks = 6*4 = 24 total number of lawns mowed in 12 weeks = 48 Average number of lawns mowed per week = 48/12 = 4 it can't be 5

20 sin^-1(x) = 5? => sin^-1(x) = ?/4 by definition sin(?/4) = x x = ?2 / 2

a) 2cos x - 1 = 0 2cos x = 1 cos x = 1/2 x = Î*/3, 5Î*/3 in the interval [0, 2Î* ] b) 3tan^2(2x) - 1 = 0 3tan^2(2x) = 1 tan^2(2x) = 1/3 tan (2x) = 1/√3, -1/√3 2x = Î*/6, 5Î*/6, 7Î*/6, 11Î*/6, 13Î*/6, 17Î*/6, 19Î*/6, 23Î*/6 x = Î*/12, 5Î*/12, 7Î*/12, 11Î*/12, 13Î*/12, 17Î*/12...

a(n) = a(n-1) + a(n-2) , n>2 ------------------eqn(1) put n = 3 a(3) = a(2) + a(1) substitute a(2) = a(1) = 1 a(3) = 2 substitute n = 4 in eqn (1) a(4) = a(3) + a(2) = 2 + 1 = 3 similarly a(5) = 3+2 = 5 a(6) = a(5) + a(4) = 5 + 3 = 8 every term is sum of its previous two terms 1, 1, 2...