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MAT1193 Lecture Notes LECTURE 3 - ARC vs. IRC (idea of the limit) Average Rate of Change VS. Instantaneous Rate of Change slope of secant line) (slope of tangent line) "derivative" Ay f (t1 ) - f (to ) Ay = limn-o f (toth) -f(to) At t1-to At h Find the ARC for y = 16t on the interval [1, 1.1] Find the equation of the secant line for the previous example Find the IRC for y = 16t2 at exactly to = 1 second Find the equation of the tangent line for previous example: Check Algebraically Ay 16(to + h)2 - 16(to) 2 At h