Analytic Geometry
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In our eReader you can find the full English version of the book. Read Analytic Geometry Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Analytic Geometry
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To quickly assess the difficulty of the text, read a short excerpt:
9. r = -2.
Determine the polar equations of the following loci: 19. 2/ = 2x - 1. 22. xy = 7.
20. 1/2 = 4 s. 23. x2 -j/2 = 1.
21. x^-\-y^ = 2x. 24. x' + 2/^ = 4x + 4?/.
25. Find the polar equations of the circles of radius a tangent to both coordinate axes.
26. Find the polar equation of the parabola with focus at the origin and vertex (-■!)■ 27. Find the polar equation of the ellipse with focus at the origin, center on the y-2ciaa, eccentricity f, and passing through the point ('•D- 28. Find th...e eccentricity of the rectangular hyperbola x^ — y"^ — o°.
Art. 49 Graphing Equations 121 Art. 49. Graphing Equations To plot the graph of a polar equation make a table of pairs of values satisfying the equation, plot the corresponding points and draw a smooth curve through them. It may be useful to look for any of the things mentioned in connection with plotting in rectangu- lar coordinates. In most cases, however, it is sufficient to imagine 6, beginning with some definite value, to gradually increase and determine at each instant merely whether r is increasing or de- creasing, draw a curve on which r varies in the proper direction and mark accurately the points where r is a maximum, minimum or zero.
What to read after Analytic Geometry?
You can find similar books in the "Read Also" column, or choose other free books by H B Henry Bayard Phillips to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
9. r = -2.
Determine the polar equations of the following loci: 19. 2/ = 2x - 1. 22. xy = 7.
20. 1/2 = 4 s. 23. x2 -j/2 = 1.
21. x^-\-y^ = 2x. 24. x' + 2/^ = 4x + 4?/.
25. Find the polar equations of the circles of radius a tangent to both coordinate axes.
26. Find the polar equation of the parabola with focus at the origin and vertex (-■!)■ 27. Find the polar equation of the ellipse with focus at the origin, center on the y-2ciaa, eccentricity f, and passing through the point ('•D- 28. Find th...e eccentricity of the rectangular hyperbola x^ — y"^ — o°.
Art. 49 Graphing Equations 121 Art. 49. Graphing Equations To plot the graph of a polar equation make a table of pairs of values satisfying the equation, plot the corresponding points and draw a smooth curve through them. It may be useful to look for any of the things mentioned in connection with plotting in rectangu- lar coordinates. In most cases, however, it is sufficient to imagine 6, beginning with some definite value, to gradually increase and determine at each instant merely whether r is increasing or de- creasing, draw a curve on which r varies in the proper direction and mark accurately the points where r is a maximum, minimum or zero.
What to read after Analytic Geometry?
You can find similar books in the "Read Also" column, or choose other free books by H B Henry Bayard Phillips to read onlineMoreLess
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