In each of Problems
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- Explain in detailarrow_forwardIn each of Problems 1 through 8, express the general solution of the given system of equations in terms of real-valued functions: x₁ = 1. x2 Iz = 2x₁ + 2x2 + x3 -2x1 + 2x2 + 2x3 2x₁3x₂-3x3arrow_forwardSolve the following equation using 7x - 8y + 5z = 5 -4x + 5y - 3z = -3 x-y+z=0 a. Crammer's rule b. Inverse Methodarrow_forward
- 2 -dydx -I -VI-2 Vi-z²arrow_forward1. Solve the following system of equations, representing your solution parametricairs x₁ + x₂ + x3 = 5 6x₁ +7x₂-3x3 = 5arrow_forwardIn each of Problems 1 through 8, express the general solution of the given system of equations in terms of real-valued functions:arrow_forward
- Show how equation (1) turned into equation (2): dCA (1) 42CA (50+t)- dt dt (2) dCA 4-2CA 50+arrow_forward(4D + 4D³ - 3D² - 2D + 1)y=0 −arrow_forwardQuestions 23 and 24 pertain to the following situation. From 2004 to 2013, the average salary, y, in thousands of dollars, for public school teachers for the year t can be modeled by the equation y = 33.374 + 9.162 In t, where t is the number of years since 2000 (i.e, t=4 represents 2004 and so on). 23. According to the model, what was the average salary for public school teachers in 2017? 24. According to the model, dùring which year did the average salary for public school teachers reach $50,000? 25 Sunnosaa counle has $125.000 in a retirement account which navs 6% comnounded continuouslv. D Focus O 55°F Clou lyp to 144 dele 8. 6. backs R T J K N prt scarrow_forward
- The amount of heat H (in joules) required to convert one gram of water into vapor is linearly related to the temperature T (in C) of the atmosphere. At 10C this conversion requires 2480 joules, and each increase in temperature of 15C lowers the amount of heat needed by 40 joules. Express H in terms of T.arrow_forwardVerify that each of the following equation has the indicated solution. a+ = 0, ди ди и %3D f (ау — bx) а. ду a?u b. əx² a²u = 0, at2 y = f(x – t) + g(x + t)arrow_forwardOn the basis of data from 1990 to 2006, the median income y in year x for men and women is approximated by the equations given below, where x = 0 corresponds to 1990 and y is in constant 2006 dollars. If these equations remain valid in the future, in what year will the median income of men and women be the same? Men: Women: -231x+2y=60,623 - 830x + 3y = 49,894 The median income of men and women will be the same in the yeararrow_forward
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning