By Arthur Cayley
This quantity is made from electronic photographs from the Cornell college Library old arithmetic Monographs assortment.
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2, 2] × [−2, 2] b. [−5, 5] × [−5, 5] c. [−10, 10] × [−70, 70] d. [−100, 100] × [−200, 200] 4. Use a graphing device to sketch a graph of x 2 − 10 x2 − 1 with the following viewing rectangles, and determine which gives the best representation for the graph of the equation. y= a. [−5, 5] × [−5, 5] b. [−10, 10] × [−10, 10] c. [−10, 10] × [−100, 100] d. [−5, 5] × [−25, 25] In Exercises 5–10, determine an appropriate viewing rectangle for the graph of each equation, and use it to sketch the graph.
Use equations to describe the problem. (x + 2)2 + (y − 3)2 = 3 + 4 + 9 = 16. The equation of the circle in standard form is (x − (−2))2 + (y − 3)2 = 42 , which describes the circle with center (−2, 3) and radius 4 that is shown in Figure 12. ■ Applications C EXAMPLE 8 A gas pipeline is to be constructed between points A and B on opposite sides of a river, as shown in Figure 13. A surveyor first determines a third point C on the same side of the river as point A so that the lines between A and C and between B and C are perpendicular.
Copyright 2010 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. 5 Using Technology to Graph Equations 29 alloy should be combined to produce 100 pounds of a new alloy that contains 35% copper?