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 ln y versus x on rectangular coordinates passes through (1.0, 0.693) and (2.0, 0.0) (i.e., at the first point x = 1.0 and ln y = 0.693) 

(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). 

(d) A semilog plot of xy (logarithmic axis) versus y/x passes through (1.0, 40.2) and (2.0, 807.0). (e) A log plot of y²/x versus (x - 2) passes through (1.0, 40.2) and (2.0, 807.0).

Solution : In y = bx + In a y = ae* b = (In y2 In y, (x2 - x1) = (0- 0.693)/(2.0 1.0) = -0.693 In a In y - bxi = 0.693 + (0.693)(1.0) = 1.386 a = e' 1.386 = 4.00 -0.693x y = 4.00e