3. For the points A(-3,2) and B(5,-4), find each of the following: a) The distance between the points. b) The midpoint between the points.  c) The slope of the line passing through A and B.  d) The equation of the circle with A and B as endpoints of the diameter

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Each question has sub-questions in it. Any help is Appreciated 

1. Solve each of the following for all possible values of x:

a) log(?−1)+log(?+1)=0

b) x(x−1)(x+2)>0 2 

c) 2x−1?+1<1 


2. Find the domain of the following functions:
a) f(x)=√6x−?2 


b) g(x)=?3−2?2−?+2?2+4?+3 


c) f(x)=log5(?−3) +2 


3. For the points A(-3,2) and B(5,-4), find each of the following:
a) The distance between the points.


b) The midpoint between the points. 


c) The slope of the line passing through A and B. 


d) The equation of the circle with A and B as endpoints of the diameter. 2

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