PDF-Section 4.4 Notes Page 1 4.4 Concavity and Curve Sketching We can u

To see if something is concave down or concave up we need to look at the first derivative Second Derivative Test for Concavity xf EXAMPLE Use the graph to indicate the interval e notice that the g. Nearest Neighbor Search (2). Alex . Andoni. (Columbia University). MADALGO Summer School on Streaming Algorithms 2015. Sketching. . short bit-strings. given . . and . ,. . should be able to estimate some function of . Alexandr. . Andoni. . (Simons Institute). Robert . Krauthgamer. . (. Weizmann. . Institute). Ilya Razenshteyn . (CSAIL MIT). 1. Sketching. Compress a massive object to a . small. . sketch. Rich theories: . ENS 207 engineering graphics. 1. Freehand Sketching. Freehand sketches . are a helpful way to organize your thoughts and record ideas. They provide a quick, low-cost way to explore various solutions to design problems so that the best choices can. :. Quadratic Functions. . Section: . 2.1. Pages. : 92-102. My Learning Goals. 1. . Be able to analyze the the components of a quadratic function. . 2. . Be able to convert between the different quadratic forms. . “One picture is worth a thousand words.”. Pictorial Sketches. Show shape of object. Show height, width, and depth. Common types:. Isometric. Perspective. Isometric Sketch. Width and depth lines are drawn at 30. Experience . Design. Gunnar Stevens. Human Computer Interaction. University of Siegen, Germany. #1. Agenda. Introductions. Me & You. Review of Syllabus. Basic Info, Assessment, Assignments, Project, Policies, etc.. Purposes of Sketching. Think through a design. Convey your ideas. Uses lines and symbols to describe a design. Common Uses of Sketching . Brainstorm. Communicate. Document Measurements. Advantages of Sketching. Zhewei Wei. 1. , . Xuancheng. Liu. 1. , . Feifei. . Li. 2. , . Shuo. Shang. 1. . Xiaoyong. Du. 1. , Ji-. Rong. Wen. 1. 1. School of Information, . Renmin. University of China. 2. School of Computing, The University of . Intervals Increasing. Intervals Decreasing. Intervals Concave Up. Intervals Concave Down. Critical Numbers:. Relative . Extrema. :. Points of Inflections:. Make a table to find intervals of concavity . nd. Derivative Test. Objectives:. To find Higher Order Derivatives. To use the second derivative to test for concavity. To use the 2. nd. Derivative Test to find relative . extrema. If a function’s derivative is . Multi-View Drawing. Shows two or more two-dimensional views of a three-dimensional object.. Provides the shape description of an object. . When combined with dimensions, serves as the main form of communication between designers and manufacturers.. Explain the importance of sketching in the engineering design process. Make simple sketches of basic shapes such as lines, circles, and ellipses. Use 3-D coordinate systems, particularly right-handed systems. © 2012 Project Lead The Way, Inc.. Introduction to Engineering Design. Sketching an Isometric Circle. Circular features and cylindrical forms are common in engineering designs, and appear as . ellipses. What is the equation of the blue curve?. Lost in translation?. The blue curve on the right is a translation. of the red curve. What is the equation of. the blue curve?. Notes and Solution. The blue curve is a translation of the red.