MATH 136 - Advanced Placement Calculus
Example from class 9/2. The data points:
A point or ``scatter'' plot:
A smooth curve of the form whose graph goes through the first and last data points:
![`assign`(data, [[0, 1], [1, 1.4], [2, 2.3], [3, 3.3], [4, 4.1], [5, 4.5], [6, 4.7], [7, 4.9]]); 1](images/DataPlot_1.gif){kind=small}
![[[0, 1], [1, 1.4], [2, 2.3], [3, 3.3], [4, 4.1], [5, 4.5], [6, 4.7], [7, 4.9]]](images/DataPlot_2.gif){kind=small}
whose graph goes through
![`assign`(PP, plot(data, style = point, color = red)); -1; `assign`(CP, plot(`+`(`/`(`*`(5), `*`(`+`(1, `*`(4, `*`(exp(`+`(`-`(`*`(.75402, `*`(t))))))))))), t = 0 .. 7, view = [0 .. 6, 0 .. 7], color =...](images/DataPlot_6.gif){kind=small}
![`assign`(PP, plot(data, style = point, color = red)); -1; `assign`(CP, plot(`+`(`/`(`*`(5), `*`(`+`(1, `*`(4, `*`(exp(`+`(`-`(`*`(.75402, `*`(t))))))))))), t = 0 .. 7, view = [0 .. 6, 0 .. 7], color =...](images/DataPlot_7.gif){kind=small}
![`assign`(PP, plot(data, style = point, color = red)); -1; `assign`(CP, plot(`+`(`/`(`*`(5), `*`(`+`(1, `*`(4, `*`(exp(`+`(`-`(`*`(.75402, `*`(t))))))))))), t = 0 .. 7, view = [0 .. 6, 0 .. 7], color =...](images/DataPlot_8.gif){kind=small}
![`assign`(PP, plot(data, style = point, color = red)); -1; `assign`(CP, plot(`+`(`/`(`*`(5), `*`(`+`(1, `*`(4, `*`(exp(`+`(`-`(`*`(.75402, `*`(t))))))))))), t = 0 .. 7, view = [0 .. 6, 0 .. 7], color =...](images/DataPlot_9.gif){kind=small}
