MATH 1080 Study Guide - Winter 2018 Final Notes - Minuscule 2818, Half-life

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Math*1080 term test 1 - summary of methodologies to solving given problems. Equation of a line (representative of the dataset) m (slope) = ? y = mx + b (linear model) Equation of a line (representative of the dataset) x = quantity per unit time. Period 1 (x consumed) = 1000 y(associated quantity) = . Period 2 (x consumed) = 1600 y(associated quantity) = . A(x) is system 1: (x consumed) = 8 x(percentage associated) = 0. 05. B(x) is system 2: (x consumed) = 10 x(percentage associated) = 0. 06. [only above 500 per duration] m = y2 y1 / x2 x1. 8 + 0. 05x = 10 + 0. 06(x 500) 8 + 0. 05x = 10 + 0. 06x 30. 8 + 0. 05x = 10(-30) + 0. 06x 30. 8 + 0. 05x = 20 + 0. 06x (-0. 05x) = period(12) / 2 = 6 (horiz. shift) 7 = e [exp (-1/28 (ln) ) (t0)] (ln)7 = [exp (1/28 (ln) ) (t0)]