The camera took six pictures every second. The curve of the zipline is approximately described by z(x) = -0.00001x° + 0.00026x³ – 0.00313x4 + 0.01704x³ – 0.01298x² – 0.30265x + 3.56157 The following picture was used to build the above function:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 21T
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Are there inflection points? If so, where are theyand what do they mean?

The camera took six pictures every second. The curve of the zipline is approximately described by
z(x) = -0.00001x° + 0.00026x³ – 0.00313x + 0.01704x³ – 0.01298x?
0.30265x + 3.56157
The following picture was used to build the above function:
a = 0.99912
Transcribed Image Text:The camera took six pictures every second. The curve of the zipline is approximately described by z(x) = -0.00001x° + 0.00026x³ – 0.00313x + 0.01704x³ – 0.01298x? 0.30265x + 3.56157 The following picture was used to build the above function: a = 0.99912
Where each point of connection was plotted with a unique point. Below is the coordinates of
all the points used:
C=(3.88593,2.67843)
D=(4.52431,2.60768)
E=(5.18285,2.54901)
F=(5.8723,2.50113)
G=(6.5809,2.47719)
H=(7.32447,2.43034)
I=(8.07982,2.39331)
J=(8.84896,2.36302)
K=(9.65178,2.34646)
L=(10.45395,2.31769)
M=(11.27051,2.31049)
N=(12.07049,2.32639)
O=(12.89176,2.34166)
P=(13.66368,2.41032)
Q=(14.42917,2.46857)
R=(15.17362,2.50788)
S=(15.86922,2.5878)
T=(16.54852,2.67272)
U=(17.14211,2.76965)
V=(17.64463,2.87253)
W=(18.02844,3.01505)
X=(1.4649,3.13092)
Y=(18.5077,3.13618)
Transcribed Image Text:Where each point of connection was plotted with a unique point. Below is the coordinates of all the points used: C=(3.88593,2.67843) D=(4.52431,2.60768) E=(5.18285,2.54901) F=(5.8723,2.50113) G=(6.5809,2.47719) H=(7.32447,2.43034) I=(8.07982,2.39331) J=(8.84896,2.36302) K=(9.65178,2.34646) L=(10.45395,2.31769) M=(11.27051,2.31049) N=(12.07049,2.32639) O=(12.89176,2.34166) P=(13.66368,2.41032) Q=(14.42917,2.46857) R=(15.17362,2.50788) S=(15.86922,2.5878) T=(16.54852,2.67272) U=(17.14211,2.76965) V=(17.64463,2.87253) W=(18.02844,3.01505) X=(1.4649,3.13092) Y=(18.5077,3.13618)
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