Easy Explanations to Confusing Mathematics Concepts : Page - 5

Use definition of homogenous function to show the following function is homogeneous, stating the degree. State and fully verify the Euler’s Theorem in this case.f(x, y) = 3x2(2x8+ 9y8)7/2+ 5x–3y33

Discuss the importance of learning Mathematical Logic and Proving Techniques in improving quality of life.2Discuss severalapplicationsofMathematical Logic and Proving Techniques in life.aDiscuss the importance of learning Mathematical Logic and Proving Techniques in improving quality of life.2Discuss severalapplicationsofMathematical Logic and Proving Techniques in life.

Solve Differential Equation using Ode45 SolverQ.1Solve the following differential equation in MATLABusing solver ‘ode45’dy/dt = 2t Solve this equation for the time interval [0 10] with a step size of 0.2 and the initial condition is 0. Q.2 Solve this system of equationsusing Gauss Elimination in MATLABby writing a Function file.10y + z = 2x + 3y –z = 6 2x + 4y + z = 5 Q.3 Consider the function f(x)= x3–2x + 4 on the inter...

In  this  question,  you  are  to  apply  vectors  and  vector  algebra.  Note  that  throughout  this question vectors are shown in bold type. In your solution to all questions involving vectors, you should use underlini...

Find the population size on Triangle Island for your model after 1, 2, 3, 4 and 5generations by setting up a table like the one below in your spreadsheet. Enter yourspreadsheet formula forNinto the first cell and then use autofill to find the remainingpopulation sizes.t012345N3.Add a row to your table and use it to find the logarithm of eachNin Question 2.logN4.In your spreadsheet, create 2 separate graphs (on separate axes), making sure in eacho...

Question 1(a)Let 𝑝𝑝  and𝑞𝑞  be  statements.  Employ  a  truth  table  to  verify that  the  proposition  q)(~∧∨pp is a tautology. b)Use the rules of inference to show the validity of the following argument form. 𝑝𝑝⟶(~𝑞𝑞)(premise)ð‘&Y...

Solving Systems of Equations using Substitution and Elimination Methods1. Solve the following system of equations using the substitution method      3x - 2y =  10                          y = -4x + 12. Solve the following system of equations using the elimination method.            &...

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Question One  A coin is tossed until either a total of three heads or two tails have occurred. (a) Write down the sample space for this experiment and find the probability of each event. (b) Suppose A is the event that the first coin is a head and B is the event that the last coin tossed was a head. Find the conditional probability of A given B. (c) Let X be the number of tosses up to and including the toss on which the last head occurs. Fin...

Question: Mathematical modelling emerged as a powerful, indispensable tool for studying a variety of problems in scientific research, product and process development and manufacturing. It may help you to explain a system and to study the effects of different components, and to make predictions about their behaviour. Aim The aim of this assignment is to: • Use mathematical software such as Excel/MATLAB to investigate the correlation bet...

Question: Mathematics is a subject that is widely applied in all technical fields but it really is the essential ingredient of all engineering. Without the application of maths in engineering, no aircraft would fly in the sky and bridges would collapse under tension. Arithmetic and algebra are building blocks for learning mathematics. Differentiation and integration play a very important role in solving many complex practical engineering probl...

Question: ˆIf you have already received a pass mark (40% or higher) for your non-technical report on Game Theory, or if you received an overall pass mark for the module, then you do not need to attempt this assignment again. ˆIf you submitted a non-technical report on Game Theory (but obtained a grade lower than 40%), then you must choose a different topic than the one you chose originally. For his assignment, you will write a non-t...

Question 11. What is the general rule to find a relative extrema, or in other words, to find a relative maximum or minimum? 2. Based on data from 1980 to 2000, the median sales price of a new one-family home in the southern United States may be modeled by where P(t) is in thousands of dollars and t is the number of years since 1980. a.Find and interpret (in your own words) the meaning of . b.According to the model, was the median sales pri...

Part I: Base Conversion and Number SystemsPart I: 1.In base b, 3 + 2b3 + b would be written ________________. 2.A place-value, base-20 system would require _____ digits. 3.If you have been counting in base five, what would have been the five numerals before 2314five? 4.Do the “translations” in parts A–D.  Show your work. A) 3102five =  _____________ ten B) 310.2five = _____________ ten C) 203.6ten = _________...

MethodologyIn this resit, I am asking you to use the gradient ascent / hill-climbing example of the first coursework as a starting point to investigate one of the following problems: 1. How to improve gradient descent convergence? 2. What are pros and cons of different algorithms (e.g., different solvers)? 3. What happens on landscapes with different properties (beyond those included in the first assignment, e.g., consider published benchma...

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Course Title   :  Mathematics and Statistics

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Question 11.A distribution of values is normal with a mean of 1493.5 and a standard deviation of 45.7 Find the probability that a randomly selected value is less than 1528.7 P (X < 1528.7) = Enter your answer as a number accurate to 4 decimal places. * Note all z-scores must be rounded to the nearest hundredth. 2.A distribution of values is normal with a mean of 822.2 and a standard deviation of 45.1 Find the probability that a randoml...