Maths

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1. Talcum Turnbull’s campaign has been modelling the average enthusiasm of voters for Talcum based

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1. You are looking to purchase a home and the following specifications are given:

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PRESENTATION ON A MATHS PHENOMENON Time limit – 5 minute video presentation.

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Let F(x,y,z) = (y,−3x,y z) and G = ∇×F. Calculate the surface integral I =RRS G·ˆ

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THE WORLD OF MATHS Essay - 1500 words. ASSESSMENT OVERVIEW This assessment requires you

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a) Obtain the Taylor polynomial P5(x), of degree 5, about x0 = 0, of the function f(x) = 0.5e2x.

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Question 1. (a) Find the magnitude of the vector w~ =~ i + 3~ j −~ k.

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1. Let w1 = 1 +√3i and w2 = 1−i. (a) Write w1 and w2 in polar form.

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University of Plymouth Module Leader Kasia Brys Format

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Solve the following by separation of variables:

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Ted and Alice are working on some problems which involve representing systems of forces represented by vectors.

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Question 1 (a) Let A =µ3 1 4 2¶B =µ−1 1 2 −2¶and C =  1 2 −1 3 −2 1 

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(a) from (0,0) to (1,2) along

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1) Standard dice have 6 sides, and each side is equally likely to be rolled. If you roll two

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(a) Show the sample space.

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1) Extract a set of 15 orders from the set of 100 orders using the last four digits of your student ID number as the starting seed.

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1. Poisson equation can be solved by sine transformation or cosine transformation.

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The owner of a sand-yacht can practise only at weekends and if the wind speed is less than 15 mph. If the probability density for the wind speed on given a day is p(v) = exp(-v/10)/10 What is the probability of being able to practise on any given day? Wha

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A. Eigenvectors must be non-zero.

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(a) Find f  1 , the inverse function of f. Show work.

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