A bird of mass m flying along a path given by r(t) = (2t, t^2, t) subject to the force of gravity pulling it towards the origin. The force is F(x, y, z); F(x, y, z) = (m/((x^2+y^2+z^2)^(3/2))(-x-y-z) How much work will the bird do fromt he time t=3 to t=8? Solve using the Fundamental Theorem of Line Integrals.
A bird of mass m flying along a path given by r(t) = (2t, t^2, t) subject to the force of gravity pulling it towards the origin. The force is F(x, y, z); F(x, y, z) = (m/((x^2+y^2+z^2)^(3/2))(-x-y-z) How much work will the bird do fromt he time t=3 to t=8? Solve using the Fundamental Theorem of Line Integrals.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 39RE
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A bird of mass m flying along a path given by r(t) = (2t, t^2, t) subject to the force of gravity pulling it towards the origin. The force is F(x, y, z);
F(x, y, z) = (m/((x^2+y^2+z^2)^(3/2))(-x-y-z)
How much work will the bird do fromt he time t=3 to t=8?
Solve using the Fundamental Theorem of Line
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