I have included a Wave Equation problem with parts a-c, that has variable tension. It involves separation of variables, the Sturm-Liouville system, and an application to the "Rayleigh Quotient" involving the Eigenvalues. I have included notes on the Sturm-Liouville system with examples and properties. Please refer to these notes
I have a few questions I need help with. What are the steps to solving a system of equation by elimination? What are the steps to solving a system of equation by substitution? What are the steps to solving a system of equation by graphing? Once you have graph a system of equation, how do you check your answer? Whe
Systems of equations can be solved by graphing or by using substitution or elimination. What are the pros and cons of each method? Which method do you like best? Why? What circumstances would cause you to use a different method? Review examples 2, 3, and 4 in section 8.4 of the text. How does the author determine what the
Prove that (2n choose n) = the sum from k=0 to n of (n choose k) squared.
Questions on Linear Equations --- Use of Addition, Substitution, Elimination methods. Independent, Dependent, Consistent, Inconsistent pair of equations. Graphing of Linear Equations.
Please answer all questions by selecting your answer from the choices provided. When responding please, please be sure to note the question number along with your answer. If your answer is not clear it will be counted as being incorrect. See examples below for how to provide your answer Question 45 c Or Question 61 Answ
Sue is offered a new job selling furniture where she makes a base pay of $1500 a month plus commission. According to a current employee, she should be able to earn $30,000 in sales monthly. To maintain her standard of living she must make $3000 total monthly. What commission rate must she earn to maintain her standard of livi
Plot (- 1, 4) on the coordinate axes; I cannot insert the letter X which belongs on the side of the graph just like the letter Y is above. Y The numbers are 1through 10; also a negative 1-10;
Please see the attached file for the fully formatted problems. 1. Translate the sentence to an equation and solve it. Six less than eight times a number is equal to that number added to one. 2. The length of a rectangular mailing label is 3 centimeters less than twice the width. The perimeter is 54 centimeters. Find the d
The U.S. Census Bureau International Database gives the population of the ten most- populated countries in the year 2000 and population predictions for 2050 for these countries: Chinahad 1.2 billion people in 2000 and is predicted to have a population of 1.3 billion in 2050. The U.S. had a population of 284 million in 2000 with
Please help with the following problems. Provide step by step calculations. 3. Solve for X, Y, and Z in the following systems of three equations: a. X + 2Y + Z = 6 X + Y = 4 3X + Y + Z = 8 b. 10X + Y + Z = 12 8X + 2Y +Z = 11 20X - 10Y - 2Z = 8 c. 22X + 5Y + 7Z = 12 10X + 3Y + 2Z = 5
PLEASE SEE ATTACHED FILE FOR FULLY FORMATTED QUESTIONS 1. Find the slope of the line. ANSWER: 2. Find the slope of the line that goes through the pair of points: (2, 5), (6, 10). 3. Graph the line through (2, 3) with slope . 4. Draw L1 through (-2, 1) with slope , and draw L2 through (-2, 1) with sl
Please explain and answer questions. Thanks 1. Equations of Lines in Slope-Intercept Form Find the slope and y-intercept for each line. 3x + 5y + 10 = 0 2. Write each equation in slope-intercept form y- 5 = - ¾ (x+1) 3. Interest rates. A credit manager rates each applicant for a car loan on a scale of
Please help with the following problems. There are three methods to solving Linear Systems with two Equations. They are the Graph method, the Elimination method, and the Substitution method. When would you use each method? What makes each method better than the other methods?
1.) Solving Systems by Graphing and Substitution Investing her bonus. Donna invested her $33,000 bonus and received a total of $970 in interest after one year. If part of the money returned 4% and the remainder 2.25%, then how much did she invest at each rate? 2.) Ticket sa
Solve each step by graphing y = -2/3x 2x+3y = 5 Answer: Solve each system by substitution. Determine whether the equations are independent, dependent or inconsistent x= y + 3 3x - 2y =4 Answer: Solve each system by substitution. Determine whether the equations are independent, dependent or inconsistent 2x -
Please see the attached file for the fully formatted problems. 1. a) Determine if the ordered pair (2, ¼) is a solution of the equation (1/8)x + 3y = 1 b) Explain why or why not the pair is a solution. 2. a)Graph or describe fully the graph of the equation y = (2/3)x + 1. b) Show the table method with values for x o
Fiona kept the following records of her phone bills for 12 months: $42, $37, $51, $41, $58, $44, $42, $35, $53, $58, $46, $57 Find the median of Fiona's monthly phone bills. (a) Find the mean of the following set of numbers. 12, 16, 19, 22, 28, 30 (b) Find the mode of the following set of numbers. 11, 1
Please see the attached file for the fully formatted problems. 1.) x - x = 5 2 3 2.) 0.5b + 3.4 = 0.2b + 12.4 3.) -3 - 4(t - 5) = 2(t + 3) +11 4.) 0.08x + 0.5(x + 100) = 73.2
Problem 1. Investments. William opened two investment accounts for his grandson's college fund. The first year, these investments, which totaled $18,000, yielded $831 in simple interest. Part of the money was invested at 5.5% and the rest at 4%. How much was invested at each rate? Problem 2. "Arctic Antifreeze" is
10. solve the system by graphing y=2x+1 X+y=-2 The graphs of the following systems are given in (a) through (d). Match each system with the correct graph. a-d graph lines intersect at the following points a. (-3,2) b. (-3,-2) c. (3,-2) d. (2,3) 21. 5x+4y=7 x-3y=9 22. 3x-5y=-9 5x-6y=-8 23. 4x-5y=-2 3y-x=-3 24.
Linear Programming, Matrix and Set Operations, Gaussian Elimination and Systems of Equations and Inequlaities
Please see the attached files for the fully formatted problems. 8. (6 pts) There is a jar containing nickels and quarters. Suppose there are 89 coins in the jar, and the total value is $19.45. We would like to find out how many nickels and how many quarters are in the jar. Let x = number of nickels and y = number of q
(1)- What similarities and differences do you see between functions and linear equations that you studied in Chapter 3? . Are all linear equations functions? · Is there an instance in which a linear equation is not a function? Support your answer. · Create an equation of a nonlinear func
1. (5 pts) The equation of the horizontal line passing through (1, -5) is _______ A. x = 1 B. y = 1 C. x = -5 D. y = -5 2. (5 pts) The standard form of the inequality x - 4y 12 is _______ A. y> - ¼ x + 3 B. 4y < x - 12 C. y< ¼ x - 3 D. y> ¼ x - 3 3. (5 pts) Which of the fo
Price optimization, understanding monopoly pricing decisions and implications when a monopolist produces additional complementary products.
Part 1: What Price Should Apple Charge for the IPod? The IPod is a computer console designed and manufactured by Apple. This console currently dominates the computer market, selling more than its competitors. Assume that the following facts are true: ? The demand for IPod consoles can be approximated by the linear equati
Section 6.1: Rational Expression Which numbers cannot be used in place of the variable in each rational expression? 18. 2y+1 y² - y- 6 Section 6.2: Multiplication and Division Perform the indicated operation 24. 3 * 2a+ 2 a² + a 6 Section 6.3: Finding the Least Common Denominator
On three consecutive passes, a football team gains 9 years, loses 35 yards, and gains 33 years. What number represents the total net yardage? -The total net yardage is ____ yards. .Find the indicated outputs for f(x)=4x squared-4x f(0)=__ f(-1)=__ f(2)=__ Soybean meal is 12% protein; cornmeal is 6% protein. How many p
Section 5.1 Greatest Common Factor for Monomials Find the greatest common factor for each group of monomials. 40. 16x²z, 40xz², 72x³ Section 5.2 Factoring a Difference of Two Squares Factor each polynomial. 16. 9a² - 64b² Section 5.3 Factoring with Two Variables Factor each polynomial. 64. h²- 9hs + 9s²
See the attached file. Solving by Substitution Solve each system by substitution. Determine whether the equations are independent, dependent, or inconsistent. 36.) y= - 3x + 19 y= 2x -1 38.) Y= -4x -7 Y= 3x 42.) Y= x + 4 3y -5x =6 56.) 2x -y =4 2x -y =3 Solve each system by the substitution method.
The Mundo Candy Company types of chocolate candy: Cheery Cherry, Mucho Mocha, and Almond Delight. The company produces its products in San Diego Mexico City, and Managua using two main ingredients: chocolate and sugar. a. Each kilogram of Cheery Cherry requires .5 kg of sugar and .2 kg of chocolate; each kilogram of Mucho Moch