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Method of health promotion

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(4/9) / (13/9) = 0.386 (a + b) / (a - b) = 1/5 5a + 5b = a - b b = -4/6 * a . a^2 = a^2 b^2 = (-4/6 * a)^2 = (-4/6)^2 * (a)^2 = 4/9 * a^2 . (a^2 - b^2) / (a^2 + b^2) = (a^2 - 4/9 * a^2) / (a^2 + 4/9 a^2) = (5/9 * a^2) / (13/9 * a^2) = (5/9) / (13/9)

a+b / a-b = 1/5 a+b+a-b / a+b-a+b = 1+5 / 1-5 a/b = - 3/2

a^2 / b^2 = 9/4 a^2 - b^2 / a^2 + b^2 = 9-4 / 9+4 = 5/13

If 1^2 + 2^2 + 3^2 + ................. 100^2 = A & 1^3 + 2^3 + 3^3 + .................. 100^3 = B Then 1^2*2 + 2^2*3 + 3^2*4 + 4^2*5 ........ 99^2*100 + 100^2*101=??

If P=Sin A.Sin B, Q= Sin C.Cos A, R = Sin A.Cos B and S=Cos A.Cos C then 5(P^2+Q^2+R^2+S^2) = ??

If a^3 - b^3 + ab = 35^2 a^3 - b^3 - 3ab = 1 then (a^2 + b^2) = ??