1 / 38

Homework, Page 604

Homework, Page 604. Use substitution to solve the system of equations. 1. . Homework, Page 604. Use Gaussian elimination to solve the system of equations. 5. . Homework, Page 604. Perform the indicated elementary row operations on the matrix. 9. . Homework, Page 604.

marcia-jenkins
Télécharger la présentation

Homework, Page 604

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Homework, Page 604 Use substitution to solve the system of equations. 1.

  2. Homework, Page 604 Use Gaussian elimination to solve the system of equations. 5.

  3. Homework, Page 604 Perform the indicated elementary row operations on the matrix. 9.

  4. Homework, Page 604 What elementary row operations applied to the matrix will yield the given matrix. 13.

  5. Homework, Page 604 Find a row echelon form for the matrix. 17.

  6. Homework, Page 604 Find the reduced row echelon form for the matrix. 21.

  7. Homework, Page 604 Write the augmented matrix corresponding to the system of equations. 25.

  8. Homework, Page 604 Write the system of equations corresponding to the augmented matrix. 29.

  9. Homework, Page 604 Solve the system of equations by finding a row echelon form for the augmented matrix. 33.

  10. Homework, Page 604 Solve the system of equations by finding the reduced row echelon form for the augmented matrix. 37.

  11. Homework, Page 604 Solve the system of equations by finding the reduced row echelon form for the augmented matrix. 41.

  12. Homework, Page 604 Write the system of equations as a matrix equation AX = B, with A as the coefficient matrix of the system. 45.

  13. Homework, Page 604 Solve the system of equations by using an inverse matrix. 49.

  14. Homework, Page 604 Solve the system of equations by using an inverse matrix. 53.

  15. Homework, Page 604 53.

  16. Homework, Page 604 Use the method of your choice to solve the system of equations. 57.

  17. Homework, Page 604 Use the method of your choice to solve the system of equations. 61.

  18. Homework, Page 604 Use the method of your choice to solve the system of equations. 65.

  19. Homework, Page 604 Determine f so that its graph contains the given points. 69.

  20. Homework, Page 604 73. Children ride a train for 25 cents, adults pay $1.00, and seniors pay 75 cents. On a given day, 1400 passengers paid $740 for their rides. There were 250 more children than all other passengers. Find the number of children, adults, and senior riders.

  21. Homework, Page 604 77. Morgan has $50,000 to invest and wants to receive $5,000 interest the first year. He puts part in CDs earning 5.75% APY, part in bonds earning 8.7% APY, and the rest in a growth fund earning 14.6% APY. How much should he put in each fund if he puts the least amount possible in the growth fund.

  22. Homework, Page 604 Use inverse matrices to find the equilibrium point for the supply and demand curves. 81.

  23. 7.4 Partial Fractions

  24. What you’ll learn about • Partial Fraction Decomposition • Denominators with Linear Factors • Denominators with Irreducible Quadratic Factors • Applications … and why Partial fraction decompositions are used in calculus in integration and can be used to guide the sketch of the graph of a rational function.

  25. Partial Fraction Decomposition of f(x)/d(x)

  26. Example Decomposing a Fraction with Distinct Linear Factors

  27. Example Decomposing a Fraction with Repeated Linear Factors

  28. Example Decomposing a Fraction with an Irreducible Quadratic Factor

  29. Example Reversing aDecomposed Fraction to Identify the Parent Function

  30. Homework • Homework Assignment #12 • Read Section 7.5 • Page 614, Exercises: 1 – 49 (EOO), skip 45

  31. 7.5 Systems of Inequalities in Two Variables

  32. Quick Review

  33. Quick Review Solutions

  34. What you’ll learn about • Graph of an Inequality • Systems of Inequalities • Linear Programming … and why Linear programming is used in business and industry to maximize profits, minimize costs, and to help management make decisions.

  35. Steps for Drawing the Graph of an Inequality in Two Variables • Draw the graph of the equation obtained by replacing the inequality sign by an equal sign. Use a dashed line if the inequality is < or>. Use a solid line if the inequality is ≤ or ≥. • Check a point in each of the two regions of the plane determined by the graph of the equation. If the point satisfies the inequality, then shade the region containing the point.

  36. Example Graphing a Linear Inequality

  37. Example Solving a System of Inequalities Graphically

  38. Example Solving a Word Problem 38. Paul’s diet is to contain at least 24 units of carbohydrates and 16 units of protein. Food substance A costs $1.40 per unit and each unit contains 3 units of carbohydrates and 4 units of protein. Food substance B costs $0.90 per unit and each unit contains 2 units of carbohydrates and 1 units of protein. How many units of each food substance should be purchased to minimize cost? What is the minimum cost?

More Related