MATH 1171 Lecture Notes - Lecture 1: Tangent
11 Dec 2017
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2. 1 the tangent and velocity problems: the tangent problem find an equation of the tangent line to a curve with equation y = f (x) at a given point p . How to calculate the slope m? y f (x0) = m(x x0) . Find the slopes of the secant lines to the parabola y = x2 through the points (1, 1) and: (a) (2, 4) (b) (1. 5, 1. 52) (c) (1. 1, 1. 12) (d) (1. 001, 1. 0012: big question. By de nition avarage velocity = distance traveled time elapsed. What if the period of time elapsed is very small: example. The position of the car is given by the values in the table. 5 t s 0 10 32 70 119 178. 4 where t is in seconds and s is in feet. Find the average velocity for the time beginning when t = 2 and lasting (a) 3 seconds (b) 2 seconds (c) 1 second: question.
