Mathematical Modeling Problem The following data represent t

Mathematical Modeling Problem: The following data represent the \"pace of life\" data (x = population and y= velocity). Construct a scatterplot of the data. Is there a trend? Construct a divided difference table. Is smoothing with a low-order polynomial appropriate? Why or why not? If so, choose an appropriate polynomial and fit it. Implement your model and discuss the goodness of fit.

(365, 2.76), (2500, 2.27), (5491, 3.31), (14000, 3.70), (23700, 3.27), (49375, 4.90), (70700, 4.31), (78200, 3.85), (138000, 4.39), (304500, 4.42), (341948, 4.81), (867023, 5.21), (1092759, 5.88), (1340000, 5.62), (2602000, 5.05)

Solution

Ans-

If Maple cannot find a closed form expression for the integral, the function call is returned.

ex2ln(x)dx

ex2ln(x)dx

Compute definite integrals.

0sin(x)dx

2

0ex2ln(x)dx

1412ln(2)

0ex2ln(x)2dx

1165/2+182+12ln(2)+12ln(2)2

An Elliptic integral

3212t43t22dt

155EllipticF(137,155)155EllipticF(122,155)

A double integral

int(xy2,[x,y])

16x2y3

22y0xy2dxdy

325

If either of the integration limits are floating-point numbers, then int computes the integral using numerical methods.

22.0y0.0xy2dxdy

6.400000000