Plotting is not needed for this question, but it is good for you to practice. Sketch the plots described below and calculate the equations for y(x) from the given information. The plots are all straight lines. Note that the given coordinates refer to abscissa and ordinate values, not x and y values. (The solution of part (a) is given as an example.] (a) A plot of In y versus x on rectangular coordinates passes through (1.0, 0.693) and (2.0, 0.0) (i.c., at the first point x = 1.0 and In y 0.693). Solution: In y = bx + In a y = ae* b = (In y - In yı)/(x2 - x) (0- 0.693)/(2.0- 1.0) = -0.693 In a = In y - bx = 0.693 +0.693 1.0 - 1.386 a = e6 = 4.00 y = 4.00e 0693 (b) A semilog plot of y (logarithmic axis) versus x passes through (1, 2) and (2, 1). (c) A log plot of y versus x passes through (1, 2) and (2, 1).

Plotting is not needed for this question, but it is good for you to practice. Sketch the plots described below and calculate the equations for y(x) from the given information. The plots are all straight lines. Note that the given coordinates refer to abscissa and ordinate values, not x and y values. (The solution of part (a) is given as an example.] (a) A plot of In y versus x on rectangular coordinates passes through (1.0, 0.693) and (2.0, 0.0) (i.c., at the first point x = 1.0 and In y 0.693). Solution: In y = bx + In a y = ae* b = (In y - In yı)/(x2 - x) (0- 0.693)/(2.0- 1.0) = -0.693 In a = In y - bx = 0.693 +0.693 1.0 - 1.386 a = e6 = 4.00 y = 4.00e 0693 (b) A semilog plot of y (logarithmic axis) versus x passes through (1, 2) and (2, 1). (c) A log plot of y versus x passes through (1, 2) and (2, 1).

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section1.3: Lines

Problem 96E

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