course Mth 271
I couldnt get some of my work copied to this site so I am going to email the rest of it too you. Thanks. And by the way....you know me well! That of course was my message to you! (o:
Flow Experiment, Simulated DataThe following are simulated depth vs. clock time data for the flow experiment:
clock t 2.8 5.6 8.4 11.2 14 16.8
depth 82.1 76.8 72.7 69.8 66.8 63.7
Clock times are in seconds, depths in cm.
Using a graph and simulaneous linear equations find a model for this data set and compare your model with the data.
8.2= a (2.8)^2 + (2.8) b + c (1)
72.7= a (8.4)^2 + (8.4) b + c (2)
66.8= a (14)^2 + (14) b + c (3)
(1)-(2)=
9.4 = a -62.72 + -5.6 b (1a)
(2)-(3)=
5.9= a -125.44 + -5.6 b (2a)
(2a) * -1=
-5.9= a 125.44 + 5.6 b (2b)
(1a)+ (2b)=
3.5= a 62.72
a= .06
9.4= (.06)(-62.72)+ -5.6 b
b= -2.35
82.1= (.06) (2.8)^2 + (-2.35)(2.8)+ c
c= 88.2
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Good. Let me know if you have questions.