Fluid runs through a drainage pipe with a 10-cm radius and a length of 30 m (300 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. 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 Me 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 tot decimal place.
Fluid runs through a drainage pipe with a 10-cm radius and a length of 30 m (300 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. 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 Me 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 tot decimal place.
Solution Summary: The author calculates the time taken by the fluid to run the length of the pipe through the center using the tabular data.
Fluid runs through a drainage pipe with a 10-cm radius and a length of 30 m (300 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.
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 Me 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 tot decimal place.
a
->
f(x) = f(x) = [x] show that whether f is continuous function or not(by using theorem)
Muslim_maths
Use Green's Theorem to evaluate F. dr, where
F = (√+4y, 2x + √√)
and C consists of the arc of the curve y = 4x - x² from (0,0) to (4,0) and the line segment from (4,0) to
(0,0).
Evaluate
F. dr where F(x, y, z) = (2yz cos(xyz), 2xzcos(xyz), 2xy cos(xyz)) and C is the line
π 1
1
segment starting at the point (8,
'
and ending at the point (3,
2
3'6
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