Answered: P(-1, 1) F = (x, y) le

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P(-1, 1) F = (x, y) le

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter2: Functions And Graphs

Section2.6: Proportion And Variation

Problem 17E: Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.

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Question

Divergence and flux from graphs Consider the following
vector fields, the circle C, and two points P and Q.
a. Without computing the divergence, does the graph suggest that the
divergence is positive or negative at P and Q? Justify your answer.
b. Compute the divergence and confirm your conjecture in part (a).
c. On what part of C is the flux outward? Inward?
d. Is the net outward flux across C positive or negative?

F = ⟨x, y²⟩

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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