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In Exercises 13–20, find the particular solution corresponding to the tableau.
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Finite Mathematics & Its Applications (12th Edition)
- In Exercises 3–6, write a in the form a = aTT + aNN at the given value of t without finding T and N.arrow_forwardIn Exercises 22–29 compute the indicated quantities when u =( 2, 1, −3), v = (4, 0, 1), and w = (−2, 6, 5).22. u × v and v × u23. u × w and w × u24. v × w and w × v25. (u × v) × w and u × (v × w)26. (u × v) · w and w · (v × u)arrow_forwardIn Exercises 15–18, find all values of λ for which det(A) = 0.arrow_forward
- In Exercises 11–14, find parametric equations for all least squares solutions of Ax = b, and confirm that all of the solutions have the same error vector. 1 3 1 12. A = -2 -6 |; b = ! 0 3 9. 1arrow_forwardThree components are connected to form a system as shown in the accompanying diagram. Because the components in the 2–3 subsystem are connected in parallel, that subsystem will function if at least one of the two individual components functions. For the entire system to function, component 1 must function and so must the 2–3 subsystem. The experiment consists of determining the condition of each component [S (success) for a functioning component and F (failure) for a nonfunctioning component]. (Enter your answers in set notation. Enter EMPTY or ∅ for the empty set.) There us a graph shown in the pictures. Questions are posted on the pictures too.arrow_forwardIn Exercises 17–24, describe the sets of points in space whose coordinates satisfy the given inequalities or combinations of equations and inequalities.arrow_forward
- Section 3.4-The product rule and Quotient Questions In(x) Differentiate: y Q1 x7 • Q2 (0 • Q3 ( dy Preview Q 4 da Q 5 Q 6 7O)arrow_forwardLet y represent the annual income of an individual in 2018. Let z represent the number of days the individual worked in 2018. Let x represent the number of days the individual spent snow skiing in 2018. Let w represent the number of days the individual did not work in 2018. Which of the following models violate A3 (MLR.3)? O y = Bo+B1 + 2 + O y = Bo + B₁x + B₂z+u O y = Bo + Bi +B2 z tu All of the above.arrow_forwardExercise 4.11.22 You are doing experiments and have obtained the ordered pairs, (0,1),(1,2), (2,3.5), (3,4) Find m and b such that y=mx+b approximates these four points as well as possible.arrow_forward
- Linearize the following mathematical model: max 3x1 + 5x2 + X1X2 S.t: 2x1 + 4x2 < 150 X1 + x2 < 200 X1, X2 € {0,1}arrow_forward5. a) Make tables of values for y = x², y = 2x², y = x² + 1, and y = (x – 3)². b) Compare the y-values for y = x² and y = 2x². c) Compare the y-values for y = x² and y = x² + 1. d) Compare the y-values for y = x² and y = (x – 3)².arrow_forwardIn Exercises 13–17, determine conditions on the bi ’s, if any, in order to guarantee that the linear system is consistent. 13. x1 +3x2 =b1 −2x1 + x2 =b2 15. x1 −2x2 +5x3 =b1 4x1 −5x2 +8x3 =b2 −3x1 +3x2 −3x3 =b3 14. 6x1 −4x2 =b1 3x1 −2x2 =b2 16. x1 −2x2 − x3 =b1 −4x1 +5x2 +2x3 =b2 −4x1 +7x2 +4x3 =b3 17. x1 − x2 +3x3 +2x4 =b1 −2x1 + x2 + 5x3 + x4 = b2 −3x1 +2x2 +2x3 − x4 =b3 4x1 −3x2 + x3 +3x4 =b4arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage