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Paul F.'s Resources

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There is a rational zero test. All rational solutions to f(x) = 0 will be contained in the set of ± r / ± s where r = the factors of the coefficient xn = the highest power term s = the factors of the coefficient of x0 = the constant term   For f (x)= 2x^3-4x^2+5x-3 ...

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the population of purple martins p  the population of raccoons, r p(r)= 750 - 3.75r the mosquito population m m (p) = 50,000 -45p.   So if r = 0  then p(0) = 750 m(p) = m(750) = 50,000 - 45 (750) m = 16,250  

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Invoke Conservation of Energy ..... Change in PE + Change in KE = 0  .... dPE = dKE     d=delta or change 1. The half of the chain off the table falls a distance L/2. It's change in potential energy dPE is rho (L/2) g (L/2)     Note;  [PE = mgh; rho L =...

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Ages now 15 and 43   E + F = 58 2 (E+13) = F+13 2E + 26 = F + 13 2E - F = - 13   E + F = 58 Adding these equations eliminates F 3E = 45 E = 15 thus if E+F=58 then F=43 Checking 43+13=56 15+13=28  checks...

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$4500 at 3%   &  $7500 at 8%   Total interest = $735 Let N(3) = Amt after 1 yr of the 3% investment of P Let N(8) = Amt after 1 yr of the 8% investment of P + $3000   N(3) + N(8) = P + (P+3000) + 735 = 2P + 3735   N(3)...

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A model is a replica of something original or real For example, architects build out of cardboard, small models of a proposed building. An equation, differential, integral, quadratic or even just linear, models the natural world in some respect. For example again  y = x2 models...

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My method is nearly identical to Arturo O. Suvat formula   v2 - u2  =  2  a  s v = final velocity   u = initial velocity   s = distance This assumes constant acceleration/deceleration So .... 0 - u2  = 2  a  s        The...

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