Question

Using the Trapezoid Rule with n = 8 to approximate the arc length of the graph of y=2x^3-2x+1 from A (0,1) to B(2,13) you get (to three decimal places):

Answer 1

6.900
13.896
14.093
13.688
13.697

Answer 2

@perl

Answer 3

@Zale101

Answer 4

@Zale101

Answer 5

well, arc length is just pythagorean in this case,

sqrt(dx^2+dy^2)

Answer 6

ds is approximately the length of the curve

Answer 7

divide the x interval into 8 equal parts, and that is equal to dx

dy is determined part for part and is more computationally .... longer

Answer 8

So how do we find dx and dy? Do we use (0,1) and (2,13)?

Answer 9

@amistre64

Answer 10

@phi

Answer 11

@Loser66