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    Linear Algebra

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    Linear Programming

    Solve the following system of simultaneous equations: 6x1 + 4x2 = 40 2x1 + 3x2 = 20 x1 = ??? put your answer in the form x or x.x

    Graphing linear inequalities

    Solve the following system of linear inequalities by graphing. 3x+4y is less than or equal to 12 x+3y is less than or equal to 6 x is greater than or equal to 0 y is greater than or equal to 0

    Solving Systems of Linear Inequalities

    Solve each of the following systems of linear inequalities graphically. Please show step by step for full understanding 3x-y less than or equal to 6 x greater than or equal to 1 y less than or equal to 3.

    Systems of Linear Equations

    A coffee merchant has coffee beans that sell for $9 per pound and $12 per pound. The two types are to be mixed to create 100 lb of a mixture that will sell for $11.25 per pound. How much of each type of bean should be used in the mixture?

    Linear Programming, Equations of Lines and Word Problems

    1) f(x)=3x(2x-1). f(-1)= A)7 (B)11 (C)-6 (D) 9 2) The slope of the line through the points (3,4)and (-1,7) is A)4/3 (B) ¾ (C) -3/4 (D) 7/4 3)The line 6x + 9y=8 has slope A) -2/3 (B)-6 (C) 4/3 (D) 9 4)Select the line parallel to 6x +14y =20 A) 3x-7y=15(B) 7x-3y=8 (C) y=20/6x+14 (D)y= -3/7x+11/7 5) A revenue f

    Interval Notation Question

    Write the sets attached using interval notation. If the set is empty, write O. a) G &#8745; C where G ={y|y>-2} and G ={y|y&#8805;4} b) {y|y<1 or y>3}

    Linear Equations and Systems of Equations with Parameters

    Please help with the following problems. Provide step by step calculations. Find the slope of each line that has a slope x=5y Find an equation in the form y=ms +b (where possible) for each line. Through (3,-5) parallel to y= 4 Graph each linear equation defined as follows; 3x - 5y =15 Solve each system of equat

    Matrices

    Matrices have a number of interesting mathematical attributes, such as their dimensions, how they can be derived from linear systems, and the kinds of operations that can be performed on them. Copy the questions to a Microsoft Word document and use an equation editor to enter the answers. Please answer the following questions

    Finite Mathematics - Finding Equation of a line, break-even point, Revenue function, Cost function, Salvage value, Scrap value, system of equations, Augmented matrix, Matrix, Matrices, solution of system of equations, Input-out matrix, linear programing, feasible region, inequalities, Objective function, Maximization, Minimization, dual problem, Initial Simplex Tableau, Pivoting, feasible solution, compound interest, compounded semi annually, Annuity, Future Value, Periodic Payment, Accumulation Factor, Sets, Intersection, Union, problems, Permutations, ways of arrangements, Combinations, ways of selections, Probability, Standard Deviation of grouped data, formula, confidence level, upper bound.

    Note: For detailed description of the questions, please see the attached questions file. Below is the text that represents the brief description of the actual questions. Question (1) Given, f(x) = ( x + 2 )(2x - 3) , f (- 2 ) = ? Question (2) The equation of the line through (8 , 6 ) and (2 , - 4) is ... Question (3)

    Eigenvalues, Heat Equations and Parseval's Identity

    See attached file for full problem description. You can solve problems except matlab problems(1.(c),3(c),6(d,e)). But I still hope you would solve all problems including matlab problems. And you can send me solutions separating into two parts regardless of problem's order.

    Algebra Questions

    See attached file for full problem description. 24. Complete the ordered pairs so that each is a solution for the given equation. 3x + 4y = 12 46. Science and medicine. Celsius temperature readings can be converted to Fahrenheit readings using the formula F = 9/5C + 32 . What is the Fahrenheit temperature that corresponds

    Boundary Value Problem and Rayleigh's Quotient

    8. Consider the boundary value problem (Please view the attachment for proper formatting of this question) phi'' + lamda*phi = 0 phi(0) - phi'(0) = 0 phi(1) + phi'(1) = 0. a) Using the Rayleigh quotient, show that lambda > 0. b) Show that tan sqrt(lambda) = 2 sqrt(lambda)/(lambda - 1). Determine the eigenvalues g

    Solving Inequalities and Linear Systems of Equations

    1. Find the solution to the following system of linear equations: 3x + 4y = -8 y = -5x - 7 2. My friend is driving 55 mph, West, on Interstate 90 and he started from his home which is 75 miles west of mine. I leave at the same time, traveling West at a speed of 73 mph. Write 2 linear equations (one for me and one fo

    Logic : Decidable Systems

    Question Let (N, <) be the model with universe N and the "less than" relation. Show that Th(N, <) is decidable. Solution Reduce Th(AJ, <) to Th(fV, +), which we've already shown to be decidable. To do so, show how to convert a sentence 0, over the language of Th(A(, <), to a sentence 02 over the language of Th(AF, +) w

    Systems of Linear Equations

    1. Solve the following systems of linear equations. Solve one using addition and one using substitution. State which method you are using for which system... a) 4x - 3y = 10 & y - 20 = -6x b) y = 3x + 6 & -6x + 2y = 12 2. You are buying coffee beans for your new business, "The Algebra Café." You

    Solving Systems of Linear Equations using Matrix Methods

    Matrices have a number of interesting mathematical attributes, such as their dimensions, how they can be derived from linear systems, and the kinds of operations that can be performed on them. 1. Matrix methods can be used to solve linear programming problems. A linear programming problem is used to find an optimal solution,

    Evaluating Functions and Systems of Linear Equations and Inequalities

    (See attached file for full problem description) 1. Graph f(x) = -2x + 2. 2. Rewrite the equation -x - 10y = 50 as a function of x. 3. Given f(x) = 5x2 - 3x + 1, find f(-2). A) -13 B) 15 C) -25 D) 27 4. Given f(x) = 4x - 5, find f(a - 1). A) 4a - 9 B) 4a - 6 C) a - 2 D) a - 9 5. Graph the inequality.

    Homogeneous PDEs and BCs and Eigenvalues

    Please see the attached file for the fully formatted problems. Consider the following homogeneous PDE and BCs: u_t = u_xx in 0 < x < 1 u(x,0) = f(x) u(0,t) = 0, u(1,t) + u_x(1,t) = 0 (a) Make the substitution u(x,t) = phi(x)G(t), separate variables, and find the equations for phi(x) and G(t). Be sure to include the vo

    Linear Equations and Inequalities

    1) Given one point on the graph (-3, -5) and the slope, m = -2, develop an equation in the slope-intercept format Lecture). 2) Given one point on the graph (- 2/3, 2/5) and the slope, m = - 3, develop an equation in the slope-intercept format(Lecture). 3) Given the following two points, (- 4, - 2) & (-1, - 5),develop an

    Linear Equations Word Problems

    A body at temperature of 55 degree F is placed outdoors where the temperature is 110 degree F. After 5 minutes the temperature of the body is 65 degree F. Find the temperature of the body after 20 minutes.