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1. Aflock of birds is perched on a tree branch. The branch B can be modeled as a 3-D line segment from point (0,0, 3) to point (3, 4, 15); the units are ft. The "linear flock density" along the branch is given by the scalar function: birds 9(x, y, 2) = x² + yz Parametrize the branch B and evaluate : S, p ds. What does this integral represent?

1. Aflock of birds is perched on a tree branch. The branch B can be modeled as a 3-D line segment from point (0,0, 3) to point (3, 4, 15); the units are ft. The "linear flock density" along the branch is given by the scalar function: birds 9(x, y, 2) = x² + yz Parametrize the branch B and evaluate : S, p ds. What does this integral represent?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1. Aflock of birds is perched on a tree branch. The branch B can be modeled as a 3-D line segment from point (0, 0, 3) to point (3, 4, 15); the units are ft. The "linear flock density" along the branch is given by the scalar funetion: birds 9(x, y, z) = x² + yz Parametrize the branch B and evaluate : S, p ds. What does this integral represent?
Transcribed Image Text:1. Aflock of birds is perched on a tree branch. The branch B can be modeled as a 3-D line segment from point (0, 0, 3) to point (3, 4, 15); the units are ft. The "linear flock density" along the branch is given by the scalar funetion: birds 9(x, y, z) = x² + yz Parametrize the branch B and evaluate : S, p ds. What does this integral represent?
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