FACULTY OF BUSINESS AND MANAGEMENT MATHEMATICS FOR MANAGEMENT Question 1: A) 7 A + 10 B = 73 4 53 3 15 2 4 + 101 5 40 1 33 2 2 = 10 35 4221 21 735 14 28 + 10 50 400 10 3030 20 20 = 24 85 8221 31 3765 34 48 B) I. Matrix inverse method: 2x1 + 3x2 + 4x3 = 29 X1 + x2 + 2x3 = 13 3x1 + 2x2 + x3 = 16 1) Matrix form ,A: A =211 312 413121 122 223331 232 133 XX1 X2 X3 b291316 Ax = b ; x = A-1b A-1 =1A - A djoint
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decreasing temperature since higher temperatures are associated with higher molecular energy. Fourier's Law expressed conductive heat transfer as: q = k A dT / s Where q = heat transfer (W, J/s, Btu/s)A = heat transfer area (m2 , ft2)k =thermal conductivity of the material(W/m.K or W/m℃, Btu/(hroF ft2/ft))dT = temperature difference across the material (K oroC,oF)s = materialism thickness (m, ft) Example of Heat Transfer by Conduction is A plane wall constructed of solid iron with thermal conductivity
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(f) 3236, and (g) 8700? 2. The diameter of the earth is about 1.27 x 107 m. Find its diameter in (a) Millimeters, (b) Megameters, (c) Miles 3. Express the following using the prefixes: (a) 1×106 volts, (b) 2×106 meters, (c) 6×103 days, (d) 18×102 bucks, and (e) 8×109 pieces. 4. The speed limit on an interstate highway is posted at 75 mi/h. (a) What is this speed in kilometers per hour? (b) In feet per second? (c) In meter per second? [(a) 121 km/h, (b) 110 ft/s, (c) 33.5 m/s]
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Write your name here Surname Other names Centre Number Candidate Number Edexcel GCE Chemistry Advanced Unit 4: General Principles of Chemistry I – Rates, Equilibria and Further Organic Chemistry (including synoptic assessment) Monday 14 January 2013 – Afternoon Time: 1 hour 40 minutes You must have: Data Booklet Candidates may use a calculator. Paper Reference 6CH04/01 Total Marks Instructions Use black ink or ball-point pen. Fill in the boxes at the top of this page with
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or need a loan, we need more mathematics. Simple Interest Discussing interest starts with the principal, or amount your account starts with. This could be a starting investment, or the starting amount of a loan. Interest, in its most simple form, is calculated as a percent of the principal. For example, if you borrowed $100 from a friend and agree to repay it with 5% interest, then the amount of interest you would pay would just be 5% of 100: $100(0.05) = $5. The total amount you would
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Melissa Ramessar 212762654 Organic Chem 2020 Lab 4 1.) Variation of [OH] Experiment [tBuCl] (M) [OH] (M) Reaction time (s) Rate Constant k (s-1) Reaction rate (M/s) 1 0.03 0.003 27 3.903×10-3 1.171×10-4 2 0.03 0.006 91 2.453×10-3 7.358×10-5 3 0.03 0.009 135 2.643×10-3 7.928×10-5 According to the experiments, the rate law does not depend on [OH]. When increasing the [OH] in experiment 2, the rate of reaction was lowered tremendously; however that could be due to other reason such as errors
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i) Write the half-reaction that would occur at the cathode. j) Write the half-reaction that would occur at the anode. k) What is the minimum voltage that will need to be applied to this cell? Unit 2 - Structure and Properties 1. Write the electron configuration for a)Sr b)Ta c)Gd d)Br e)Cl- f)Mg2+ 2. Write the short form electron configuration for 1 a) and 1 b). 3. Draw the energy level diagram for 1 a) and 1 b).
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Choice Modeling: Marketing Engineering Technical Note 1 Table of Contents Introduction Description of the Multinomial Logit (MNL) Model Properties of the MNL Model S-shaped response function Inverted “U” Marginal response Elasticity of response Proportional Draw Logit Model Estimation via Maximum Likelihood Using Logit Models for Customer Targeting Using Logit Models for Customer Segmentation Determining the number of latent segments in MNL models Summary References Introduction Firms today
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IIR Filter structures ELG6163 Miodrag Bolic 1 Copyright © 2005, S. K. Mitra Objective • Stuctures – Direct form – Transposed direct form – Lattice-ladder form – Parallel realization – Cascade realization – Bi-quad coupled realization – State space realization • 2 Implementation Copyright © 2005, S. K. Mitra Basic IIR Digital Filter Structures • The causal IIR digital filters we are concerned with in this course are characterized by a real rational transfer function of z
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