- Graphs and Functions
The Velocity of a Particle in Space
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1. Sketch the following surfaces and identify by type ( hyperboloid, ellipsoid, etc.).
(a) 4x^2 + 9y^2 + 4z^2= 36
(b) z= x^2 + 4y^2
2. The velocity of a particle in space is given by v(t)= (e^t)i+(sin2t)j + (t^2)k. Find the particle's position as a function of t if r(0)= i + j.
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The velocity of a particle in space is examined.