PPT-Tangents

The slope of the secant line is given by The tangent lines slope at point a is given by a x Example Find the equation for the line tangent to the parabola y x 2 at the point 1 1 Another Form. neclabscom NEC Laboratories America 10081 N Wolfe Road Cupertino CA 95129 Tong Zhang tzhangstatrutgersedu Rutgers University 110 Frelinghuysen Road Piscataway NJ 08854 Abstract Local Coordinate Coding LCC introduced inYuetal2009isahighdimensionalnon Pg 595. Circle. the set of all points equidistant from a given . point. Center. Congruent Circles. have . the same . radius. “Circle P” or . ○. P. Radius, r. the distance from the center to a point on . 9.5 . Tangents to Circles. Objectives. Identify segments and lines related to circles.. Use properties of a tangent to a circle. .. Some definitions you need. Circle. – set of all points in a plane that are . Secant and Tangent. Interior angle = ½ intercepted arc. Two Secants:. Interior angle = ½ (sum of intercepted arcs). Two Secants. Exterior angle = ½ (far arc – close arc). Two Tangents. Exterior angle = ½ (far arc – close arc). RULE 1. If two chords intersect in a circle, the product of the lengths of the segments of one chord equal the product of the segments of the other. Explanation for Rule 1:. Intersecting Chords Rule:. Find the equations of tangents at given points. Find the points on the curve if tangent slope is known. Find equations of tangents . parallel. to given lines through a given point.. Find equations of tangents . Introduction. Polar coordinates are an alternative system to Cartesian coordinates. Some processes and equations involving the Cartesian system can become very complicated. You can simplify some of these by using Polar coordinates instead. Session 5. The Derivative. Integrals . Review. Plot a graph of the function f(x), where f represents how something is changing (e.g. it might be speed or acceleration). We write something like f(x) = x. Warm Up. Write the equation of each item.. 1.. . FG. . x. = –2. y. = 3. 2.. . EH. 3.. . 2(25 –. x. ). = x . 2. 4.. 3. x . 8. = . 4. x. x. = 16. x. = 8. Identify tangents, secants, and chords.. Chapter 10. This Slideshow was developed to accompany the textbook. Larson Geometry. By Larson. , R., Boswell, L., . Kanold. , T. D., & Stiff, L. . 2011 . Holt . McDougal. Some examples and diagrams are taken from the textbook.. Dan Dreibelbis. University of North Florida. Richard. Goals. What is a 3-D matrix?. Vector multiplication with a tensor. Geometric objects from tensors. Motivation. Pretty pictures. Richard’s work. Function Review.  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  .  . 2.1 – . Rates. of Change and Tangents to Curves. Function Review.  .  .  .  .  .  . 2.1 – . Rates. of Change and Tangents to Curves.
 \n\r\r \r\r \r  \r \r\r  \r \r   An interior tangent of two circles Tangents KEYWORDS Draw on the whiteboard what you think an INTERNAL tangent would look like Take the radius of the smaller circle KEYWORDS: Internal Radius KEYWORDS: Internal Radius Add the smaller radius