1. A vector-valued function r(t) in R3 traces a circle that lies completely on the plane z=3 and with center (0,0,3).  (1.1) Find the component functions of r(t).  (1.2) Find the equation in vector form of the tangent line to r(t) at the point where t=π.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1. A vector-valued function r(t) in R3 traces a circle that lies completely on the plane z=3 and with center (0,0,3). 
(1.1) Find the component functions of r(t). 
(1.2) Find the equation in vector form of the tangent line to r(t) at the point where t=π. 

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