4. (9 points). Functions y₁ and y₂ are solutions for the corresponding homogeneous equation ofthe following differential equation.ty" - (1+t)y' + y = t²e²t, t>0; y₁ = 1+t, y₂ = et.a) Use the Variation Method to find a particular solution of the equation.b) Write the General solution of the equation.c) Determine the solution for the differential equation that satisfies initial valuesy(1) 0 and y' (1) = 4.

Answered: Image /qna-images/answer/a90d04dc-3644-4784-8982-f6c39a378cc9.jpg

Answered: 4. (9 points). Functions y₁ and y₂ are…

Understanding Business

12th Edition

ISBN:9781259929434

Author:William Nickels

Publisher:William Nickels

Chapter1: Taking Risks And Making Profits Within The Dynamic Business Environment

Section: Chapter Questions

Problem 1CE

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Use Laplace transform to solve I.V.P x = (-2 23 ) x, X(0) =
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Tucson Machinery, Inc., manufactures numerically controlled machines (NCM), which sell for an average price of $12 million each. Sales for these NCMs for the past two years were as follows: Quantity (units) Quantity (units) Quarter Last year ||| III IV 12 18 20 24 Quarter This year | || ||| IV 20 24 28 32 Find the equation of a simple linear regression line using Excel, in the format of Y=a+bX. Keep two decimals of a and b. Forecast the first quarter sales for next year. Keep two decimals.
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12.2. The manager of the I-85 Carpet Outlet needs to be able to forecast accurately the demand for Soft Shag carpet (its biggest seller). If the manager does not order enough carpet from the carpet mill, customers will buy their carpets from one of the outlet’s many competitors. The manager has collected the following demand data for the past eight months: Month Demand for Soft Shag Carpet (1000 yd)1 52 103 64 85 146 107 98 12 a. Compute a three-month moving average forecast for months 4 through 9. b. Compute a weighted three-month moving average forecast for months 4 through 9. Assign weights of .55, .33, and .12 to the months in sequence, starting with…
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5) Consider the following tableau. Basic | Coefficients Vars x2 X3 X4 Const 1 -1 -3 -2 -1 1 -2 4 1 3 1 3 A) Label the basic variables (blank entries in the first column). B) Identify the entering (nonbasic) variable. C) Identify the exiting (basic) variable corresponding to your choice in part B. D) Perform a pivot based on your choices in B and C.
a. Identify and give a brief explanation of the:i. Dependent variableii. Independent variable b. Use simple linear regression to forecast annual demand for months 9 and 10 by using thetabular method to:i. Derive the values for the intercept and slope. ii. Derive the linear regression equation.iii. Plot the linear regression line. iv. Develop a forecast of the clinic attendance for months 9 and 10.
1. Which of the following exactly defines continuous processes? - Continuous processes are able to produce very high volumes of outputs. - Continuous processes are able to produce very low volumes of outputs. - Continuous processes are able to produce very high volumes of fully standardized outputs. - Continuous processes are able to produce very high volumes of low standardized outputs. 2. A company produces plastic glasses and wants to use exponential smoothing for forecasting. It is known that demand forecast in the last period (t-1) was 400 glasses while actual demand (t-1) was 380. It is also known that actual demand in the current period (t) will be 550 glasses. Exponential smoothing coefficient (α) is 0.30. Make a forecast for the next period (t+1). - 510 - 394- 440 -441 3. Which of the following is considered to be the most critical driving force of continuous quality improvement in TQM philosophy? - PDSA cycle - Malcolm Baldridge Quality Award Model - quality function…
3. Attendance at Los Angeles' newest Disney like attraction, Vacation World has been as follows: Quarter Guests Quarter Guests (in Thousands) (in Thousands) 2017 Q1 73 Q3 124 Q2 104 Q4 52 Q3 168 2019 Q1 89 Q4 74 Q2 146 2018 Q1 65 Q3 205 Q2 82 Q4 98 a. Graph the data. (Use Excel) b. Compute seasonal indices using all the data. (Solve manually)
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