EEE233 (SEM2-2012/13) TUTORIAL 1: PARTIAL DIFFERENTIAL EQUATIONS 1. Solve the following equations a) ∂2u∂x2=24x2(t-2)‚ given that at x=0‚ u=e2tand ∂u∂x=4t. b) ∂2u∂x∂y=4eycos2x‚ given that at y=0‚ ∂u∂x=cosx and at x=π‚ u=y2. 2. A perfectly elastic string is stretched between two points 10 cm apart. Its centre point is displaced 2 cm from its position of rest at right angles to the original direction of the string and then released with zero velocity. Applying
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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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Addition of Force Vectors Abstract The purpose‚ of this experiment‚ was to prove that there is a relation between the magnitude of the resulting vector‚ and the angle between the vectors that are being added. The test was performed by creating a balance between three weights tied to strings on a pulley that transferred the string on top of a graduated disc‚ which made easy the measurement of the angles between them. After performing the experiment‚ my group concluded that there is a relation
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Anopheles Quadrimaculators Vectors: Organochloride DDT and Global Malaria Paper on Organochloride’s Effect on Global Malaria Dr. Stephanie P. McCallum Ed.D. Environmental Health Public Health 8165 -1
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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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Ansoff’s Matrix Igor Ansoff in 1957 created the Matrix. It is a marketing planning tool‚ used for identifying and categorising growth opportunities. The matrix considers on two dimensions: markets and products. |Existing Products|New Products|Risk| Existing Markets|||| New Markets|||| Risk|| Market Penetration| Involves:|Methods:|Use when:| • Increasing market share in current markets with current products.• Securing dominace in growth markets‚ but saturated markets are hard to
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1a. h=-4.9t^2+450 1b. h(t)=-4.9t^2+450 (h(2)-h(0))/(2-0) ((-4.9(〖2)〗^2+450)-(-4.9(0)^2+450))/2 =(430.4-450)/2 =-19.6 ∴The average velocity for the first two seconds was 19.6 metres per second. c. i) i) = =-24.5 ∴ The average velocity from is 24.5 metres/s. ii) = -14.7 iii) = -12.25 ∴ The average velocity from is 12.25 metres/s. d) Instantaneous velocity at 1s: =-9.8 ∴ The instantaneous velocity
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Introduction to the Ansoff matrix The Ansoff product/ market matrix is a tool that helps businesses decide their product and market growth strategy. Ansoff’s product/ market matrix suggests that a business’ attempts to grow depend on whether it markets new or existing products in new or existing markets. The traditional four box grid or matrix Ansoff model Alternative Ansoff style matrix A revised version of the Ansoff matrix featuring a 3×3 or nine box grid or matrix. History – The Product
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The main application of plasmids is as cloning vectors in gene cloning. In gene cloning‚ a fragment of DNA‚ containing the gene to be cloned is inserted into a circular molecule called the “vector” to produce recombinant DNA molecule. Plasmids are one of the most commonly used “vectors” for this purpose. They transport the gene into a host cell‚ such as a bacterium‚ which is said to be transformed with the recombinant molecule. Here‚ these plasmid vectors multiply‚ producing numerous identical copies
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