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A Second Course in Algebra

A Second Course in Algebra


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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1909 Excerpt: ... a-2x + 3 = 0 b-4 ac O In Fig. 1, the curve crosses the-axis at points whose abscissas are 4, --2; the abscissas of these points being the values of x found in solving the equation. In Fig. 2, the intersection points coincide and we have two values of x each equal to 1. In Fig. 3, the curve and the-axis do not coincide. EXERCISE 47 Plot the curves: 1. f(x)=x2 + 6x + 8. ( 47,220.) 2. f(x) = xt-6x + 8. 4. f(x) = x2-6x + 9. 3. /(a;)=a;2-9. 5. f(x)= x2 + 2 + 4. 221. Many problems in Physics are dependent on the laws of proportion and variation. The solution of such problems is often obtained more readily by graphical means than by algebraic solution. Ex. 1. Graphical representation of a direct proportion. When a man is running at a constant speed, the distance which he travels in a given time is directly proportional to d s his speed. The algebraic expression of this relation is--' = J, or d = ms. (See 161.) d2 s'2 Now, if we plot successive values of the distance, d, which correspond to various speeds, s, in precisely the same manner in which we plotted successive values of x and y in 44-48, we obtain as the graphical picture of the relation between s and d a straight line passing through the origin. (See Fig. 1.) This is the graph of any direct proportion. Graphical representation of an inverse proportion. The volume which a given body of gas occupies when the pressure to which it is subjected varies has been found to be inversely proportional to the pressure under which the gas stands; we have seen that the algebraic statement of this re If we plot successive values of V and P in the manner indicated in 44-48, we obtain a graph of the form shown in Fig. 2. This is the graphical representation of any inverse proporti...


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Product Details
  • ISBN-13: 9781152111127
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 50
  • Spine Width: 3 mm
  • Width: 189 mm
  • ISBN-10: 1152111124
  • Publisher Date: 01 May 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 109 gr


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