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?

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.3: Subspaces Of Vector Spaces
Problem 49E
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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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