I have to finish the code given by my diff eq professor to analyze the lorenz function at different initial conditions and different values for p. I am not sure how to input the lorenz function in the way the code is set up.

Here is the code provided for matlab:

function lorenz

s = 10;
b = 8/3;
p = 0.15;

y = @(t,x) [ ; ; ]; % you are responsible for entering the lorenz system here

T = [0 200]; % sets the time interval; no need to edit
x0 = [1 1 1]; % initial conditions; this can and should be editied

[t,x] = ode45(y,T,x0); % ode solver; do not edit

plot3(x(:,1),x(:,2),x(:,3),'r') % plots 3d solution for entered conditions

grid on

Explain when or why would you use the description pattern of essay development by providing an example.

Winkler Furniture manufactures two different types of china cabinets A French Provincial model and a Danish Modern model. Each cabinet produced must go through three departments: Carpentry, Painting and Finishing. The table provided gives all of the production times per cabinet produced and production capacities for each operation per day along with net revenue per unit prodced.

The firm has a contract to produce a minimum of 60 cabinets per day. How many of each cabinet should the manufacturer make to maximize daily revenue.

Please show how to set up in excel and how to get the answer using solver in excel

Problem 7. Show that in a room full of 20 people there are 2 people who have the same number of friends present. Friendship is symmetric. If A is friends with B then B is friends with A.

1. Consider the initial value problem y′ =1+y/t, y(1)=3 for1≤t≤2.

• Show that y(t) = t ln t + 3t is the solution to the initial value problem.

• Write a program that implements Euler’s method and the 4th order Runke-Kutta method for the above initial value problem. Use your program to solve with h = 0.1 for Euler’s and h = 0.2 for R-K.

• Include a printout of your code and a printout of the results at each time step.

• Use Taylor’s method to compute w1 with h = 0.1 for orders 1 through 4.

using linear curve fit. Display equation and R-square value on graph chart.

Use an example to show how to find this on google docs

Project for Finite Analysis

Part 1：

Select a car or truck of your choice, new or used, and price it. Any number of resources can be used (for example, manufacturer's or dealer's website, Craig's list, Kelly Blue Book).

or

Select a piece of real estate (residential, commercial, warehouse, land), any number of resources can be used (www.realtor.com is one option). You will need to include a listing sheet/link with your submitted assignment.

Part 2:

Develop two different fixed-rate financing strategies that include:

• Down payment
• Interest rate
• Term of the loan

Part 3:

Create an amortization schedule for each financing option using the mortgage template in Excel.

Part 4:

Write an analysis and use visuals to compare and contrast the two financing options in detail (for example, monthly payment, total payments, total interest paid, etc.) Be specific. Which would you choose? Include justifications for selecting an option.

Use the method of variation of parameters to determine the general solution to the following differential equation: y'''-y''+y'-y=e^-tsint

If the hula hoop is positioned vertically on the floor so that the black band is touching the floor, when the hula hoop is given a push, it begins to travel upright along the floor. The path traced out by the black band is given by the position vector r= (t – sin t) i + (1 – cos t) j.

c) Find the maximum and minimum values of the velocity vector analytically.

d) Find the maximum and minimum values of the acceleration vector analytically.

e) Provide a graphical representation of the velocity and acceleration vectors. Do they confirm your answers to c and d?

Better Fitness, Inc. (BFI), manufactures exercise equipment at its plant in Freeport, Long Island. It recently designed two universal weight machines for the home exercise market. Both machines use BFI-patented technology that provides the user with an extremely wide range of motion capability for each type of exercise performed. Until now, such capabilities have been available only on expensive weight machines used primarily by physical therapists. At a recent trade show, demonstrations of the machines resulted in significant dealer interest. In fact, the number of orders that BFI received at the trade show far exceeded its manufacturing capabilities for the current production period. As a result, management decided to begin production of the two machines. The two machines, which BFI named the BodyPlus 100 and the BodyPlus 200, require different amounts of resources to produce.

The BodyPlus 100 consists of a frame unit, a press station, and a pec-dec station. Each frame produced uses 4 hours of machining and welding time and 2 hours of painting and finishing time. Each press station requires 2 hours of machining and welding time and 1 hour of painting and finishing time, and each pec-dec station uses 2 hours of machining and welding time and 2 hours of painting and finishing time. In addition, 2 hours are spent assembling, testing, and packaging each BodyPlus 100.

The BodyPlus 200 consists of a frame unit, a press station, a pec-dec station, and a leg- press station. Each frame produced uses 5 hours of machining and welding time and 4 hours of painting and finishing time. Each press station requires 3 hours of machining and welding time and 2 hours of painting and finishing time, each pec-dec station uses 2 hours of machining and welding time and 2 hours of painting and finishing time, and each leg-press station requires 2 hours of machining and welding time and 2 hours of painting and finishing time. In addition, 2 hours are spent assembling, testing, and packaging each BodyPlus 200.

For the next production period, management estimates that 500 hours of machining and welding time; 350 hours of painting and finishing time; and 120 hours of assembly, testing, and packaging time will be available.

The net retail price of the BodyPlus 100 and the BodyPlus 200 are $350 and $445,respectively. Although some flexibility may be available to BFI because of the unique capabilities of the new machines. Authorized BFI dealers can purchase machines for 70% of the suggested retail price. BFI’s president believes that the unique capabilities of the BodyPlus 200 can help position BFI as one of the leaders in high-end exercise equipment. Consequently, she states that the number of units of the BodyPlus 200 produced must be at least 35% of the total production of BodyPlus 100.

Analyze the production problem at Better Fitness, Inc., and prepare a report for BFI’s president presenting your findings and recommendations. The report should include the following items:

• The recommended number of BodyPlus 100 and BodyPlus 200 machines (In other words, find the optimal level of production for BodyPlus 100 and BodyPlus 200 using linear programming model).
  • Objective function: Total profit
  • BodyPlus 200 requirement constraint
  • Non-negativity constraint
  • Time Constraint:
    • Machining & Welding
    • Painting & Finishing
    • Assembly, Test, and Packaging
• The effect on profits of the requirement that the number of units of the BodyPlus 200 produced must be at least 25% of the total production of BodyPlus 100. where efforts should be expended in order to increase contribution to profits
• Include a copy of your linear programming model

To the expert that requested additional information. There is not more information. This is the question in its entirety. This is for a quantitative business modeling class in which we need to use excel’s solver tool. Please provide step by step instructions.

if a 12x12 matrix a shows the distance between 12 cities in kilometers. how can you obtain from A the matrix B showing these distances in miles?

Consider an orthogonal matrix Q ∈ R ^m×m and a diagonal matrix with non-zero diagonal elements D ∈ R^ m×m and answer the True— False questions below.

(k) Any vector x ∈ R^m can be written as a linear combination of the columns of D

(l) The columns of Q span R^m

(m) The columns of D span R^m

(n) The columns of Q are a basis for R^m

(o) The columns of D are a basis for R^m

Gross domestic product (GDP) is the total monetary or market value of all the finished goods and services produced within a country borders in a specific time period. As a broad measure of overall domestic production, it functions as a comprehensive scorecard of a given country’s economic health.

Your task is to collect the GDP data for last 10 years of any three countries of your choice, and find the measure of central tendency (that means, find the mean, median and standard deviations

Using knowledge of Differential equations. Give a complete solution for the following problem. A ball that weights 8lb is thrown vertically downward toward the earth from a great height with an initial velocity of 3ft/sec. As the ball falls , it is acted upon air resistance (in Ibs) that is numerically equal to four times the velocity of the ball in ft/sec. (a) What is the velocity of the ball at the end of t seconds? (b) How far has the ball fallen at the end of t seconds?