1. | Define each term and write the formula if needed | a) Amplitude Amplitude is half the distance between the minimum and maximum values of the range of a periodic function with a bounded range. b) Period A function whose value is repeated at constant intervals‚ such as sin x. c) Area of a sector Area = (1/2 )(r^2)(θ) radians = (θ/360)( π r^2) degrees d) Micron A unit of length equal to one millionth of a meter. e) Area of a minor segment
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π (sometimes written pi) is a mathematical constant whose value is the ratio of any circle’s circumference to its diameter in Euclidean space; this is the same value as the ratio of a circle’s area to the square of its radius. It is approximately equal to 3.141593 in the usual decimal notation (see the table for its representation in some other bases). The constant is also known as Archimedes Constant‚ although this name is rather uncommon in modern‚ western‚ English-speaking contexts. Many formulae
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MT105a Study Notes – J.Fenech Chapter 1/2 – Basics 1. Basic notations 1.1. Sum of: ∑ 1.2. Product of: ∏ 2. Sets A = {1‚2‚3} describes the set A containing members 1‚ 2‚ and 3. A={n | n is a whole number and 1≤n≤3} x A denotes that x is a member of set A S T denotes that S is a subset of T A B is the set whose members belong to either set A‚ set B or both i.e. A B = {x | x A or x B} A B is the intersection of 2 sets where A B = {x | x A and x B} denotes an empty
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> # Ho’s Maple Lab Test Solution: Semester 1 2012 (1) # Question 1; > evalf(100*sin(95)‚38); 68.326171473612098369957981656827095404 > # Queston 2; > f:=x->3*sin(1/4*x^4)-sin(3/4*x)^4; (2) > # Find 1st derivative; > D(f); (3) > # Find turning/stationary point in the interval [1‚2]‚ 1st derivative expression = 0‚ 10 significant figures!; > evalf(fsolve(3*cos((1/4)*x^4)*x^3-3*sin((3/4)*x)^3*cos((3/4)*x)= 0‚x=1..2)‚10); 1.562756908 (4) > # Find 2nd derivative at x= 1.562756908; 10 significant
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Chapter 1 Vectors‚ Forces‚ and Equilibrium 1.1 Purpose The purpose of this experiment is to give you a qualitative and quantitative feel for vectors and forces in equilibrium. 1.2 Introduction An object that is not accelerating falls into one of three categories: • The object is static and is subjected to a number of different forces which cancel each other out. • The object is static and is not being subjected to any forces. (This is unlikely since all objects are subject to the force
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Experiment 3 Vectors J. Rodriguez‚ J. Panis‚ Y.Magsipoc‚ A. Castillo‚ A. Ordoñez‚ M. Tombado‚ J. Semilla‚ K. Almeniana‚ and P. Bugacia Industrial Engineering Department‚ College of Engineering Adamson University‚ Ermita‚ Manila In this experiment‚ the students will determine the resultant of different forces using different methods: graphical method; and getting the equilibrant of forces using component method the force table. Each of the three methods has their own way of getting the resultant
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How Disease is Spread by Vectors In medical science or biology‚ a vector refers to an agent (microbes‚ animals or person) that does not cause disease by itself but helps in transmitting the pathogens that cause disease from one host to another. In this sense‚ the host could be humans‚ animals or plants. These vectors have contributed to the epidemic of so many diseases. Different diseases are transmitted by different vectors but some ailments share common vectors. For instance female anopheles
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Newton’s Method: A Computer Project Newton’s Method is used to find the root of an equation provided that the function f[x] is equal to zero. Newton Method is an equation created before the days of calculators and was used to find approximate roots to numbers. The roots of the function are where the function crosses the x axis. The basic principle behind Newton’s Method is that the root can be found by subtracting the function divided by its derivative from the initial guess of the
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FKB20203 Engineering Technology Mathematics 2 Lecture 2: Limits and Continuity Lecturer: Norhayati binti Bakri ( (norhayatibakri@mfi.unikl.edu.my) WEEK 2 Objective: To evaluate limits of a function graphically and algebraically To determine the continuity of a function at a point Limits (a) (b) A 1. in everyday life in mathematics Limits – Graphical Approach Examples f(x) = x + 2 x+2 ‚ x ≠ 2 h(x) = ‚ x=2 3 7 6 5 4 3 2 1 0 1 2 3 4 5 -3 -2 -1 0 1 2 3 4 5 g(x) = x2 − 4 x
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Philippine Normal University Taft Avenue‚ Manila S.Y. 2013-2014 GRAPH OF COSINE FUNCTION (Semi - Detailed Lesson Plan) Submitted by: Rañola‚ Rachel L. III – 18 BSE Mathematics Submitted to: Prof. Imperio FIELD STUDY PROFESSOR September 13‚ 2013 I. TOPIC: GRAPHING COSINE FUNCTION Subtopic: Properties of Cosine Function Shifting of the graph References: 1. Advance Algebra‚ Trigonometry and Statistics
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