PPT-The Three Stooges, Conic Sections, Trigonometry, and Implicit Differentiation

Robert Davidson and Bob Gardner Department of Mathematics and Statistics East Tennessee State University Online at httpwwwetsuedumathgardnerstoogesStoogesTrig2012ppt. a Historical . Perspective . A presentation by Mark Jaffee at the. Ohio Council of Teachers of Mathematics Annual Conference. Dayton, Ohio. October 18, 2013. markjaffee@oberlin.net. http://. www.oberlin.net. University of Pennsylvania, a distinguished scholar of early American history. our freedoms. "Our founding fathers underrmed citizen involvement to preserve, The nation-wide telephone survey contIn wh Introducing Trigonometry. The London Eye (originally called the ‘. Millenium. Wheel’) is a large . F. erris wheel on the South bank of the River Thames.. It is a huge structure which is 120m in diameter.. Conic sections will be defined in two different ways in this unit.. The set of points formed by the intersection of a plane and a double-napped cone.. The set of points satisfying certain conditions in relationship to a fixed point and a fixed line or to two fixed points. Find the equation of the conic section using the given information. Ellipse: co-vertices . and foci .  . Find the equation of the conic section using the given . information.. Circle: center (-4,5) and tangent to the y-axis. Section 3.7a. Consider the equation:. Is this a function?. Is the equation. differentiable?. If so, . how . do we. differentiate?. We use . implicit differentiation. , so named. b/c the functions are defined implicitly (hidden). Basic hyperbola vocab. Hyperbola. : Set of all points P such that the . difference. of the distance between P and two fixed points (foci) is a constant. Vertices. : The line through the foci intersects the hyperbola at the vertices. This is not a function, but it would still be nice to be able to find the slope.. Note use of chain rule.. This can’t be solved for . y. .. This technique is called implicit differentiation.. 1 Differentiate both sides w.r.t. . Algebra 2. Chapter 9. This Slideshow was developed to accompany the textbook. Larson Algebra 2. By Larson. , R., Boswell, L., . Kanold. , T. D., & Stiff, L. . 2011 . Holt . McDougal. Some examples and diagrams are taken from the textbook.. Qualitative . R. esearch. First review….. Presentations. Eye tracking--Chelsea. fMRI—Alivia. Simpler physio measures. When would you want to use these?. Electromyography . Measures of arousal. Galvanic skin response. Body Worn Cameras. Cassandra A. Atkin-Plunk, PhD. Vaughn J. Crichlow, PhD. Florida Atlantic University. Overview. Procedural justice. Implicit bias. Body worn cameras. Procedural justice. Focus of Procedural . Temiloluwa Adeniyi. Temiloluwa Adeniyi, COFSP Fellow, Pre- Calculus class . Senior , Biomedical Engineering. Gina Rider, COFSP Teacher, Pre- Calculus and Algebra II, Seton High School . RET is funded by the National Science Foundation, grant #EEC . (The Greeks doing trig in fancy dress.). Intro to Trigonometry. For those later influenced by Greek mathematics, trigonometry deals with periodic functions, whose graphs are usually pretty wavy, and whose applications far exceed the polygonal constraints of triangles: periodic motion, sound, and other interesting stuff.. TThheessiimmpplleeaannddccoonnvveenniieenncceepprreevveennttssccrraattcchheesssshheeeettNEWSDec 2014TEL81-868-38-6154 FAX81-868-38-6331E-mail toolsconiccojpURL http//wwwconiccojp/EnPage/indexhtmlEEaas