Consider a sphere of radius r centered at (0, 0, 0). Express the following sets in set notation.(a) The points outside the sphere.(b) The points inside the sphere.(c) The points on the surface of the sphere.(d) The points inside the sphere but outside the sphere of radius r/2centered at (0, 0, 0).(e) The points inside the sphere but outside the cube of length 3r/2centered at (0, 0, 0) with faces parallel to coordinate planes.
Consider a sphere of radius r centered at (0, 0, 0). Express the following sets in set notation.(a) The points outside the sphere.(b) The points inside the sphere.(c) The points on the surface of the sphere.(d) The points inside the sphere but outside the sphere of radius r/2centered at (0, 0, 0).(e) The points inside the sphere but outside the cube of length 3r/2centered at (0, 0, 0) with faces parallel to coordinate planes.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question
Consider a sphere of radius r centered at (0, 0, 0). Express the following sets in set notation.
(a) The points outside the sphere.
(b) The points inside the sphere.
(c) The points on the surface of the sphere.
(d) The points inside the sphere but outside the sphere of radius r/2
centered at (0, 0, 0).
(e) The points inside the sphere but outside the cube of length 3r/2
centered at (0, 0, 0) with faces parallel to coordinate planes.
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