MATH 1131Q Lecture Notes - Lecture 1: Trigonometric Functions
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Math 1131q , lecture 1 , section 2. 1 - the tangent and velocity problems. Tangent line - a line that is touching a curve, but does not cross it. Secant line - a line that interests a curve more than once. When a secant line approaches a tangent line point from the right or left. The secant line becomes to look more like a tangent line. When they are the same point, they are both tangent. Find equation of tangent line to parabola y = x^2 @ point p(1,1) To find the equation of a line, need to find slope and point (which he has given) Make list of points close to (1,1), to find slope of line by finding the closest slope x. 1. 0020 m (slope) = y2 - y1 / x2 - x1. +1 +1 y = 2x - 1 slope - intercept form. Average velocity = change in position / change in time.
