How many lines are tangent to both of the circles  x2 + y2 = 4  and  x2 + (y − 3)2 = 1?   At what points do these tangent lines touch the circles? (Enter your answers from smallest to largest x-value.)

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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How many lines are tangent to both of the circles 

x2 + y2 = 4

 and 

x2 + (y − 3)2 = 1?
 
At what points do these tangent lines touch the circles? (Enter your answers from smallest to largest x-value.)
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