PPT-Lecture 1 – Volumes Area – the entire 2-D region was sliced into strips

Before width x was introduced only dealing with length a b fx Volume same concept 3D solid is sliced into strips Before width is introduced only dealing with 2D area 1 Solids of revolution. If ab be a continuous function and 0 then the area of the region between the graph of and the xaxis is de64257ned to be Area dx Instead of the xaxis we can take a graph of another continuous function such that for all ab and de64257ne the area o Lesson 3. Students are expected to:. Sketch . a diagram to represent a problem that involves surface area or volume.. Determine . the volume of a right cone, right cylinder, right prism, right pyramid, or sphere. Area. Region . R. . is bounded by the curves . y = 2 – x. 2. and . y = -x. .. Sketch region . R. .. R. What is the area of region . R. ?. Process. To find the area between curves:. Sketch the region defined in the problem.. Disk and Washer Methods. Suppose I start with this curve.. My boss at the ACME Rocket Company has assigned me to build a nose cone in this shape.. So I put a piece of wood in a lathe and turn it to a shape to match the curve.. Regione Emilia-Romagna. Core . Start-up Team . of . the . future Managing Authority. lgherardi@regione.emilia-romagna.it. 2014-2020 programming . period. novelties . for the European . South Eastern. Problem #8. Kelly Martin. A rabbit is hopping around in a fenced-off flat rectangular field with dimensions as shown to the right. If the position of the rabbit is uniformly random throughout the field, what is the probability it is 10 feet or more away from the fence at any given time?. Section 7.2a. Area Between Curves. Suppose we want to know the area of a region that is bounded. above by one curve, . y. = . f. (. x. ), and below by another, . y. = . g. (. x. ):. a. b. Upper curve. Claire Buchanan. Interstate Commission on the Potomac River Basin. CBP Habitat Goal Implementation Team . October 14, 2015 meeting. Chesapeake . B. asin-wide . I. ndex of . B. iotic . I. ntegrity (“. Lecture 1. 2. : . 3D Clipping. Recap. Parallel projection. Normalized coordinate transformation. . Orthographic. . Oblique. . Perspective. Objective. After completing this lecture students will be able to. Mrs. Barnes. H A&P. No. 1. What Percentage of the body is burned if a 19 year old male has 2. nd. degree burns on his back, the back of his left leg, and his entire right arm?. No. 2. Suzie, an active 22 year old, was burned while playing around a fireplace. Her nightgown caught fire and she suffered 3. Objective. :. a) . Understand the concepts. of center of gravity, center of mass, and centroid.. b) Be able to. determine the location. of these points . (CG & Centroid) for . a system of particles or a body.. The diagram is a plan of the floor of Nikola’s room.. All the angles are right angles.. Nikola is going to lay flooring to cover all the floor.. She can choose either carpet tiles or wood strips.. Carpet tiles come in packs of 32 and are square. They measure 50 cm by 50 cm.. Meaning and calculation of . surface area using nets. Meaning . and . calculation . of . volume. Angle relationships in figures. Pythagorean Theorem. Cross sections of 3D solids. Learning Targets. :. Dr J Frost (jfrost@tiffin.kingston.sch.uk. ). www.drfrostmaths.com. . Last modified: . 31. st. August 2015. GCSE Revision Pack Reference: 132, 133, 134, 135, 136i, 136ii, 138. GCSE Specification. 132. Know and use formulae to calculate the surface areas and volumes of .