Concept explainers
Fluid runs through a drainage pipe with a 10-cm radius and a length of 30 m (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,
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 |
|
195.6 | 195.2 | 194.2 | 193.0 | 191.5 |
x | 5 | 6 | 7 | 8 | 9 |
|
189.8 | 188.0 | 185.5 | 183.0 | 180.0 |
a. The pipe is 30 m long (3000 cm). Determine how long it will take fluid to run the length of the pipe through the center of the pipe. Round to 1 decimal place.
b. Determine how long it will take fluid at a point 9 cm from the center of the pipe to run the length of the pipe. Round to 1 decimal place.
c. Use regression to find a quadratic function to model the data.
d. Use the model from part (c ) to predict the velocity of the fluid at a distance 5.5 cm from the center of the pipe. Round to 1 decimal place.
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Chapter 3 Solutions
ALEKS 18 WEEKS COLLEGE ALGEBRA
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