Suppose that r(u)r(u) is a vector valued function of uu, and suppose dr/du(3)=(0.5933,−0.3068,0.4641).drdu(3)=(0.5933,−0.3068,0.4641). A particle moves in three dimensional space along the reparametrized curve r(u), where u=2t+t^3. What is the speed of the particle at time t=1?

Suppose that r(u)r(u) is a vector valued function of uu, and suppose dr/du(3)=(0.5933,−0.3068,0.4641).drdu(3)=(0.5933,−0.3068,0.4641). A particle moves in three dimensional space along the reparametrized curve r(u), where u=2t+t^3. What is the speed of the particle at time t=1?

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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Question

Suppose that r(u)r(u) is a vector valued function of uu, and suppose

dr/du(3)=(0.5933,−0.3068,0.4641).drdu(3)=(0.5933,−0.3068,0.4641).

A particle moves in three dimensional space along the reparametrized curve r(u), where u=2t+t^3. What is the speed of the particle at time t=1?

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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