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Homework, Page 519

Homework, Page 519. 1. Homework, Page 519. 5. Homework, Page 519. 9. Homework, Page 519. 13. Homework, Page 519. 17. Homework, Page 519. 21. Homework, Page 519. 25. Homework, Page 519. 25. Homework, Page 519. 25. Homework, Page 519.

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Homework, Page 519

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  1. Homework, Page 519 1.

  2. Homework, Page 519 5.

  3. Homework, Page 519 9.

  4. Homework, Page 519 13.

  5. Homework, Page 519 17.

  6. Homework, Page 519 21.

  7. Homework, Page 519 25.

  8. Homework, Page 519 25.

  9. Homework, Page 519 25.

  10. Homework, Page 519 Find the interior angles of the triangle with the given vertices. 29.

  11. Homework, Page 519 Determine whether the vectors are parallel, orthogonal, or neither. 33.

  12. Homework, Page 519 Determine whether the vectors are parallel, orthogonal, or neither. 37.

  13. Homework, Page 519 Find (a) the x- and y-intercepts (A and B) of the line and (b) the coordinates of the point P so that the unit vector AP is perpendicular to the line. 41.

  14. Homework, Page 519 45. Ojemba is sitting on a sled on the side of a hill inclined 60º. The combined weight of Ojemba and the sled is 160 lb. What is the magnitude of the force required for Mandisa to keep the sled from sliding down the hill?

  15. Homework, Page 519 49. Find the work done lifting a 2600-lb car 5.5 feet.

  16. Homework, Page 519 53. Find the work done by force F of 30 lb acting in the direction (2, 2) in moving an object 3 ft from (0, 0) to a point in the first quadrant along the line y = ½ x.

  17. Homework, Page 519 57. Use the component form of vectors to prove the following.

  18. Homework, Page 519 57. Continued

  19. Homework, Page 519 61.

  20. Homework, Page 519 65. a. b. c. d. e.

  21. 6.3 Parametric Equations and Motion

  22. Quick Review

  23. Quick Review Solutions

  24. What you’ll learn about • Parametric Equations • Parametric Curves • Eliminating the Parameter • Lines and Line Segments • Simulating Motion with a Grapher … and why These topics can be used to model the path of an object such as a baseball or golf ball.

  25. Parametric Curve, Parametric Equations The graph of the ordered pairs (x,y), where x = f(t) and y = g(t) are functions defined on an interval I of t-values, is a parametric curve. The equations are parametric equations for the curve, the variable t is a parameter, and I is the parameter interval.

  26. Example Graphing Parametric Equations

  27. Example Graphing Parametric Equations

  28. Example Eliminating the Parameter

  29. Example Eliminating the Parameter

  30. Example Finding Parametric Equations for a Line

  31. Example Simulating Horizontal Motion

  32. Example Simulating Projectile Motion Matt hits a baseball that is 3 ft off the ground at an angle of 30° above the horizontal with an initial velocity of 125 fps. Does the ball clear a 20 ft fence 400 ft from the plate?

  33. Ball does not clear the fence.

  34. Homework • Homework Assignment #5 • Review Section 6.3 • Page 530, Exercises: 1 – 65 (EOO)

  35. 6.4 Polar Coordinates

  36. Quick Review Solutions

  37. 5. 4. 10 11 40º 35º 8 6 7 6.4 Quick Review Solutions Use the Law of Cosines to find the measure of the third side of the given triangle.

  38. What you’ll learn about • Polar Coordinate System • Coordinate Conversion • Equation Conversion • Finding Distance Using Polar Coordinates … and why Use of polar coordinates sometimes simplifies complicated rectangular equations and they are useful in calculus.

  39. The Polar Coordinate System

  40. Example Plotting Points in the Polar Coordinate System

  41. Finding all Polar Coordinates of a Point

  42. Coordinate Conversion Equations

  43. Example Converting from Polar to Rectangular Coordinates

  44. Example Converting from Rectangular to Polar Coordinates

  45. Example Converting from Polar Form to Rectangular Form

  46. Example Converting from Polar Form to Rectangular Form

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