Fluid runs through a drainage pipe with a 10-cm radius and a length of 30m (3000 cm). The velocity of the fluid gradually decreases from the center of the pipe toward the edges as a result of friction with the walls of the pipe. For the data shown, v(x) is the velocity of the fluid (in. cm/sec) and x represents the distance (in. cm) from the center of the pipe toward the edge. x 0 1 2 3 4 5 6 7 8 9 v(x) 195.5 195.1 194.5 193.5 192.2 190.6 188.8 186.6 184.2 181.5 Use regression to find a quadratic function to model the data. Use all of the given data points and round each coefficient to 4 decimal places.
Fluid runs through a drainage pipe with a 10-cm radius and a length of 30m (3000 cm). The velocity of the fluid gradually decreases from the center of the pipe toward the edges as a result of friction with the walls of the pipe. For the data shown, v(x) is the velocity of the fluid (in. cm/sec) and x represents the distance (in. cm) from the center of the pipe toward the edge. x 0 1 2 3 4 5 6 7 8 9 v(x) 195.5 195.1 194.5 193.5 192.2 190.6 188.8 186.6 184.2 181.5 Use regression to find a quadratic function to model the data. Use all of the given data points and round each coefficient to 4 decimal places.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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Fluid runs through a drainage pipe with a 10-cm radius and a length of 30m (3000 cm). The velocity of the fluid gradually decreases from the center of the pipe toward the edges as a result of friction with the walls of the pipe. For the data shown, v(x) is the velocity of the fluid (in. cm/sec) and x represents the distance (in. cm) from the center of the pipe toward the edge.
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x
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0
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1
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2
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3
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4
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5
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6
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7
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8
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9
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v(x)
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195.5
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195.1
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194.5
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193.5
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192.2
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190.6
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188.8
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186.6
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184.2
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181.5
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Use regression to find a quadratic function to model the data. Use all of the given data points and round each coefficient to 4 decimal places.
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