Advance Math question and answers for August 19, 2023
- Q Find all integer solutions to the equation:a) 105x + 83y = 1b) 105x + 83y = 8
- Q Suppose you have been asked to develop a simple model for themovement of ants in the presence of a food source. Discuss how youcould simulate this model. Your answer should...
- Q Description: A terrible zombie apocalypse is ravaging acrossplanet earth. The number of zombies is growing proportionally tothe number of zombies present. After one month since the ?rstinfection, 100 million people...
- Q i. Define Fourier Series and explain it usefulness. At whatinstance can a function ?(?) be developed as a Fourierseries.ii. If ?(?)=12(???), find the Fourier series of period 2? in theinterval...
- Q Show theoretically that least-squares fitting and Lagrangepolynomial fitting yields the same result when there are 2 datapoints and x1= 0.
- Q Draw ? on a torus (or the schematic representation whereoppositesides of a rectangle are identified.)
- Q Air enters thecompressor of a gas-turbine plant at ambient conditions of 100 kPaand 25°C with a low velocity and exits at 1 MPa and 347°C with avelocity of 90 m/s....
- Q what advanced math topic can be used to solve real math problems.Please show topic with an example and how you'd work it out. PS itcan also be a combination of...
- Q 1. What is a differential?2. What is a differential equation?3. Besides the fact that you might need the course to graduate, how might differential equations be useful to you in...
- Q forElectroglottography how do you determine the fundamentalfrequency?
- Q IS623 practiceShort Answer QuestionsSuppose you have a secure system with three subjects and threeobjects, with levels as listed below. (10points)Here H dominates L. You wish toimplement a Bell and LaPadula...
- Q Find the local maximum and minimum values and saddle point(s) ofthe function. If you have three-dimensional graphing software,graph the function with a domain and viewpoint that reveal all theimportant aspects...
- Q Find the intersection of the line passing through P=(-10,-6,-6)and Q(50,-18,-18) and the plane passing through points R(-10,0,0),S(0,-6,0) and T(0,0,-6).
- Q Kane Manufacturing has a division that produces two models ofhibachis, model A and model B. To produce each model A hibachirequires 6 lb of cast iron and 12 min of...
- Q Siblings Dana, Dan, and Doug have inherited 50 acres of pastureland from their Uncle Bob. They plan to start ranching but cannotagree on what type of animals they should raise....
- Q Prove (Z/mZ)/(nZ/mZ) is isomorphic to Z/nZ where n and m areintegers greater than 1 and n divides m.
- Q Problem 1: Consider the following Initial Value Problem (IVP)where ? is the dependent variable and ? is the independentvariable: ??=sin(?)?(1??) with ?(0)=?0 and ? ? 0Note: the analytic solution for...
- Q How many ways are there for any number of people to sit in a rowof 7 chairs if no two people sit next to each other? Devise arecurrence relation and...
- Q Systolic blood pressure was measuredin a group of 30 patients diagnosed with hypertension:Patient No.12345678910Blood pressure, mmHg155138126152164142128132170145Patient No.11121314151617181920Blood pressure, mmHg129122128127141132127145138138Patient No.21222324252627282930Blood pressure, mmHg127147120125132123138182120158Relying on this data find:the medianthe lower and upper...
- Q There are 16 students in a class. Each student has either a bicycle or a tricycle. There are exactly 37 wheels altogether.How many bicycles do the students have?
- Q Question 2: Derive Simpsons 1/3 rule as well as derive andestimate the truncation error of the Simpson’s 1/3 rule. You mustdemonstrate numerical integration on Equation 10 to obtain Equation13.
- Q Topological Question:Show that a countable product of a metrizable space ismetrizable. (In the product Topology of course)ie) Show that d is a metric on X that induces the producttopology on...
- Q Please prove1. Every positive integer is a product of prime numbers.2. If a and b are relatively prime, and a|bc, then a|c.3. The division algorithm for F[x]. Just the existence...
- Q 6. Air pollution problem. Consider an airshed in which there isone major contributor to air pollution--a cement-manufacturingplant whose annual production capacity is 2.500,000 barrels ofcement. Figures are not available to...
- Q y'' - 4y' + 4y = e^2t + 2e^-2t + 14t^4 - sin2t + cost +te^16tPlease solve for the particular solution. Do not find forcoefficients.
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