Calculus
6th Edition
ISBN: 9781465208880
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Question
Chapter 9.2, Problem 14PS
To determine
To find the center and radius of the sphere whose equation is
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The equations x² + y²+z² - 4z = 0 and x² - 14x + y²+16y+² = -104 represent spheres in three
dimensions. Find the distance between these two spheres. Include at least three decimal places in your
answer.
Distance:
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DISTANCE
BETWEEN
SPHERES
5. Find the equation for the sphere whose center is at
1
-.-
2
and radius is
4
9
Find the equation of the sphere with its center at (-2, 4, 13) and tangent to 3x + 4y - 12z = 10.
(Express numbers in exact form. Use symbolic notation and fractions where needed. Give your answer in the form
(x-xo)² + (y-yo)² + (z −zo)² = r².)
Chapter 9 Solutions
Calculus
Ch. 9.1 - Prob. 1PSCh. 9.1 - Prob. 2PSCh. 9.1 - Prob. 3PSCh. 9.1 - Prob. 4PSCh. 9.1 - Prob. 5PSCh. 9.1 - Prob. 6PSCh. 9.1 - Prob. 7PSCh. 9.1 - Prob. 8PSCh. 9.1 - Prob. 9PSCh. 9.1 - Prob. 10PS
Ch. 9.1 - Prob. 11PSCh. 9.1 - Prob. 12PSCh. 9.1 - Prob. 13PSCh. 9.1 - Prob. 14PSCh. 9.1 - Prob. 15PSCh. 9.1 - Prob. 16PSCh. 9.1 - Prob. 17PSCh. 9.1 - Prob. 18PSCh. 9.1 - Prob. 19PSCh. 9.1 - Prob. 20PSCh. 9.1 - Prob. 21PSCh. 9.1 - Prob. 22PSCh. 9.1 - Prob. 23PSCh. 9.1 - Prob. 24PSCh. 9.1 - Prob. 25PSCh. 9.1 - Prob. 26PSCh. 9.1 - Prob. 27PSCh. 9.1 - Prob. 28PSCh. 9.1 - Prob. 29PSCh. 9.1 - Prob. 30PSCh. 9.1 - Prob. 31PSCh. 9.1 - Prob. 32PSCh. 9.1 - Prob. 33PSCh. 9.1 - Prob. 34PSCh. 9.1 - Prob. 35PSCh. 9.1 - Prob. 36PSCh. 9.1 - Prob. 37PSCh. 9.1 - Prob. 38PSCh. 9.1 - Prob. 39PSCh. 9.1 - Prob. 40PSCh. 9.1 - Prob. 41PSCh. 9.1 - Prob. 42PSCh. 9.1 - Prob. 43PSCh. 9.1 - Prob. 44PSCh. 9.1 - Prob. 45PSCh. 9.1 - Prob. 46PSCh. 9.1 - Prob. 47PSCh. 9.1 - Prob. 48PSCh. 9.1 - Prob. 49PSCh. 9.1 - Prob. 50PSCh. 9.1 - Prob. 51PSCh. 9.1 - Prob. 52PSCh. 9.1 - Prob. 53PSCh. 9.1 - Prob. 54PSCh. 9.1 - Prob. 55PSCh. 9.1 - Prob. 56PSCh. 9.1 - Prob. 57PSCh. 9.1 - Prob. 58PSCh. 9.1 - Prob. 59PSCh. 9.1 - Prob. 60PSCh. 9.2 - Prob. 1PSCh. 9.2 - Prob. 2PSCh. 9.2 - Prob. 3PSCh. 9.2 - Prob. 4PSCh. 9.2 - Prob. 5PSCh. 9.2 - Prob. 6PSCh. 9.2 - Prob. 7PSCh. 9.2 - Prob. 8PSCh. 9.2 - Prob. 9PSCh. 9.2 - Prob. 10PSCh. 9.2 - Prob. 11PSCh. 9.2 - Prob. 12PSCh. 9.2 - Prob. 13PSCh. 9.2 - Prob. 14PSCh. 9.2 - Prob. 15PSCh. 9.2 - Prob. 16PSCh. 9.2 - Prob. 17PSCh. 9.2 - Prob. 18PSCh. 9.2 - Prob. 19PSCh. 9.2 - Prob. 20PSCh. 9.2 - Prob. 21PSCh. 9.2 - Prob. 22PSCh. 9.2 - Prob. 23PSCh. 9.2 - Prob. 24PSCh. 9.2 - Prob. 25PSCh. 9.2 - Prob. 26PSCh. 9.2 - Prob. 27PSCh. 9.2 - Prob. 28PSCh. 9.2 - Prob. 29PSCh. 9.2 - Prob. 30PSCh. 9.2 - Prob. 31PSCh. 9.2 - Prob. 32PSCh. 9.2 - Prob. 33PSCh. 9.2 - Prob. 34PSCh. 9.2 - Prob. 35PSCh. 9.2 - Prob. 36PSCh. 9.2 - Prob. 37PSCh. 9.2 - Prob. 38PSCh. 9.2 - Prob. 39PSCh. 9.2 - Prob. 40PSCh. 9.2 - Prob. 41PSCh. 9.2 - Prob. 42PSCh. 9.2 - Prob. 43PSCh. 9.2 - Prob. 44PSCh. 9.2 - Prob. 45PSCh. 9.2 - Prob. 46PSCh. 9.2 - Prob. 47PSCh. 9.2 - Prob. 48PSCh. 9.2 - Prob. 49PSCh. 9.2 - Prob. 50PSCh. 9.2 - Prob. 51PSCh. 9.2 - Prob. 52PSCh. 9.2 - Prob. 53PSCh. 9.2 - Prob. 54PSCh. 9.2 - Prob. 55PSCh. 9.2 - Prob. 56PSCh. 9.2 - Prob. 57PSCh. 9.2 - Prob. 58PSCh. 9.2 - Prob. 59PSCh. 9.2 - Prob. 60PSCh. 9.3 - Prob. 1PSCh. 9.3 - Prob. 2PSCh. 9.3 - Prob. 3PSCh. 9.3 - Prob. 4PSCh. 9.3 - Prob. 5PSCh. 9.3 - Prob. 6PSCh. 9.3 - Prob. 7PSCh. 9.3 - Prob. 8PSCh. 9.3 - Prob. 9PSCh. 9.3 - Prob. 10PSCh. 9.3 - Prob. 11PSCh. 9.3 - Prob. 12PSCh. 9.3 - Prob. 13PSCh. 9.3 - Prob. 14PSCh. 9.3 - Prob. 15PSCh. 9.3 - Prob. 16PSCh. 9.3 - Prob. 17PSCh. 9.3 - Prob. 18PSCh. 9.3 - Prob. 19PSCh. 9.3 - Prob. 20PSCh. 9.3 - Prob. 21PSCh. 9.3 - Prob. 22PSCh. 9.3 - Prob. 23PSCh. 9.3 - Prob. 24PSCh. 9.3 - Prob. 25PSCh. 9.3 - Prob. 26PSCh. 9.3 - Prob. 27PSCh. 9.3 - Prob. 28PSCh. 9.3 - Prob. 29PSCh. 9.3 - Prob. 30PSCh. 9.3 - Prob. 31PSCh. 9.3 - Prob. 32PSCh. 9.3 - Prob. 33PSCh. 9.3 - Prob. 34PSCh. 9.3 - Prob. 35PSCh. 9.3 - Prob. 36PSCh. 9.3 - Prob. 37PSCh. 9.3 - Prob. 38PSCh. 9.3 - Prob. 39PSCh. 9.3 - Prob. 40PSCh. 9.3 - Prob. 41PSCh. 9.3 - Prob. 42PSCh. 9.3 - Prob. 43PSCh. 9.3 - Prob. 44PSCh. 9.3 - Prob. 45PSCh. 9.3 - Prob. 46PSCh. 9.3 - Prob. 47PSCh. 9.3 - Prob. 48PSCh. 9.3 - Prob. 49PSCh. 9.3 - Prob. 50PSCh. 9.3 - Prob. 51PSCh. 9.3 - Prob. 52PSCh. 9.3 - Prob. 53PSCh. 9.3 - Prob. 54PSCh. 9.3 - Prob. 55PSCh. 9.3 - Prob. 56PSCh. 9.3 - Prob. 57PSCh. 9.3 - Prob. 58PSCh. 9.3 - Prob. 59PSCh. 9.3 - Prob. 60PSCh. 9.4 - Prob. 1PSCh. 9.4 - Prob. 2PSCh. 9.4 - Prob. 3PSCh. 9.4 - Prob. 4PSCh. 9.4 - Prob. 5PSCh. 9.4 - Prob. 6PSCh. 9.4 - Prob. 7PSCh. 9.4 - Prob. 8PSCh. 9.4 - Prob. 9PSCh. 9.4 - Prob. 10PSCh. 9.4 - Prob. 11PSCh. 9.4 - Prob. 12PSCh. 9.4 - Prob. 13PSCh. 9.4 - Prob. 14PSCh. 9.4 - Prob. 15PSCh. 9.4 - Prob. 16PSCh. 9.4 - Prob. 17PSCh. 9.4 - Prob. 18PSCh. 9.4 - Prob. 19PSCh. 9.4 - Prob. 20PSCh. 9.4 - Prob. 21PSCh. 9.4 - Prob. 22PSCh. 9.4 - Prob. 23PSCh. 9.4 - Prob. 24PSCh. 9.4 - Prob. 25PSCh. 9.4 - Prob. 26PSCh. 9.4 - Prob. 27PSCh. 9.4 - Prob. 28PSCh. 9.4 - Prob. 29PSCh. 9.4 - Prob. 30PSCh. 9.4 - Prob. 31PSCh. 9.4 - Prob. 32PSCh. 9.4 - Prob. 33PSCh. 9.4 - Prob. 34PSCh. 9.4 - Prob. 35PSCh. 9.4 - Prob. 36PSCh. 9.4 - Prob. 37PSCh. 9.4 - Prob. 38PSCh. 9.4 - Prob. 39PSCh. 9.4 - Prob. 40PSCh. 9.4 - Prob. 41PSCh. 9.4 - Prob. 42PSCh. 9.4 - Prob. 43PSCh. 9.4 - Prob. 44PSCh. 9.4 - Prob. 45PSCh. 9.4 - Prob. 46PSCh. 9.4 - Prob. 47PSCh. 9.4 - Prob. 48PSCh. 9.4 - Prob. 49PSCh. 9.4 - Prob. 50PSCh. 9.4 - Prob. 51PSCh. 9.4 - Prob. 52PSCh. 9.4 - Prob. 53PSCh. 9.4 - Prob. 54PSCh. 9.4 - Prob. 55PSCh. 9.4 - Prob. 56PSCh. 9.4 - Prob. 57PSCh. 9.4 - Prob. 58PSCh. 9.4 - Prob. 59PSCh. 9.4 - Prob. 60PSCh. 9.5 - Prob. 1PSCh. 9.5 - Prob. 2PSCh. 9.5 - Prob. 3PSCh. 9.5 - Prob. 4PSCh. 9.5 - Prob. 5PSCh. 9.5 - Prob. 6PSCh. 9.5 - Prob. 7PSCh. 9.5 - Prob. 8PSCh. 9.5 - Prob. 9PSCh. 9.5 - Prob. 10PSCh. 9.5 - Prob. 11PSCh. 9.5 - Prob. 12PSCh. 9.5 - Prob. 13PSCh. 9.5 - Prob. 14PSCh. 9.5 - Prob. 15PSCh. 9.5 - Prob. 16PSCh. 9.5 - Prob. 17PSCh. 9.5 - Prob. 18PSCh. 9.5 - Prob. 19PSCh. 9.5 - Prob. 20PSCh. 9.5 - Prob. 21PSCh. 9.5 - Prob. 22PSCh. 9.5 - Prob. 23PSCh. 9.5 - Prob. 24PSCh. 9.5 - Prob. 25PSCh. 9.5 - Prob. 26PSCh. 9.5 - Prob. 27PSCh. 9.5 - Prob. 28PSCh. 9.5 - Prob. 29PSCh. 9.5 - Prob. 30PSCh. 9.5 - Prob. 31PSCh. 9.5 - Prob. 32PSCh. 9.5 - Prob. 33PSCh. 9.5 - Prob. 34PSCh. 9.5 - Prob. 35PSCh. 9.5 - Prob. 36PSCh. 9.5 - Prob. 37PSCh. 9.5 - Prob. 38PSCh. 9.5 - Prob. 39PSCh. 9.5 - Prob. 40PSCh. 9.5 - Prob. 41PSCh. 9.5 - Prob. 42PSCh. 9.5 - Prob. 43PSCh. 9.5 - Prob. 44PSCh. 9.5 - Prob. 45PSCh. 9.5 - Prob. 46PSCh. 9.5 - Prob. 47PSCh. 9.5 - Prob. 48PSCh. 9.5 - Prob. 49PSCh. 9.5 - Prob. 50PSCh. 9.5 - Prob. 51PSCh. 9.5 - Prob. 52PSCh. 9.5 - Prob. 53PSCh. 9.5 - Prob. 54PSCh. 9.5 - Prob. 55PSCh. 9.5 - Prob. 56PSCh. 9.5 - Prob. 57PSCh. 9.5 - Prob. 58PSCh. 9.5 - Prob. 59PSCh. 9.5 - Prob. 60PSCh. 9.6 - Prob. 1PSCh. 9.6 - Prob. 2PSCh. 9.6 - Prob. 3PSCh. 9.6 - Prob. 4PSCh. 9.6 - Prob. 5PSCh. 9.6 - Prob. 6PSCh. 9.6 - Prob. 7PSCh. 9.6 - Prob. 8PSCh. 9.6 - Prob. 9PSCh. 9.6 - Prob. 10PSCh. 9.6 - Prob. 11PSCh. 9.6 - Prob. 12PSCh. 9.6 - Prob. 13PSCh. 9.6 - Prob. 14PSCh. 9.6 - Prob. 15PSCh. 9.6 - Prob. 16PSCh. 9.6 - Prob. 17PSCh. 9.6 - Prob. 18PSCh. 9.6 - Prob. 19PSCh. 9.6 - Prob. 20PSCh. 9.6 - Prob. 21PSCh. 9.6 - Prob. 22PSCh. 9.6 - Prob. 23PSCh. 9.6 - Prob. 24PSCh. 9.6 - Prob. 25PSCh. 9.6 - Prob. 26PSCh. 9.6 - Prob. 27PSCh. 9.6 - Prob. 28PSCh. 9.6 - Prob. 29PSCh. 9.6 - Prob. 30PSCh. 9.6 - Prob. 31PSCh. 9.6 - Prob. 32PSCh. 9.6 - Prob. 33PSCh. 9.6 - Prob. 34PSCh. 9.6 - Prob. 35PSCh. 9.6 - Prob. 36PSCh. 9.6 - Prob. 37PSCh. 9.6 - Prob. 38PSCh. 9.6 - Prob. 39PSCh. 9.6 - Prob. 40PSCh. 9.6 - Prob. 41PSCh. 9.6 - Prob. 42PSCh. 9.6 - Prob. 43PSCh. 9.6 - Prob. 44PSCh. 9.6 - Prob. 45PSCh. 9.6 - Prob. 46PSCh. 9.6 - Prob. 47PSCh. 9.6 - Prob. 48PSCh. 9.6 - Prob. 49PSCh. 9.6 - Prob. 50PSCh. 9.6 - Prob. 51PSCh. 9.6 - Prob. 52PSCh. 9.6 - Prob. 53PSCh. 9.6 - Prob. 54PSCh. 9.6 - Prob. 55PSCh. 9.6 - Prob. 56PSCh. 9.6 - Prob. 57PSCh. 9.6 - Prob. 58PSCh. 9.6 - Prob. 59PSCh. 9.6 - Prob. 60PSCh. 9.7 - Prob. 1PSCh. 9.7 - Prob. 2PSCh. 9.7 - Prob. 3PSCh. 9.7 - Prob. 4PSCh. 9.7 - Prob. 5PSCh. 9.7 - Prob. 6PSCh. 9.7 - Prob. 7PSCh. 9.7 - Prob. 8PSCh. 9.7 - Prob. 9PSCh. 9.7 - Prob. 10PSCh. 9.7 - Prob. 11PSCh. 9.7 - Prob. 12PSCh. 9.7 - Prob. 13PSCh. 9.7 - Prob. 14PSCh. 9.7 - Prob. 15PSCh. 9.7 - Prob. 16PSCh. 9.7 - Prob. 17PSCh. 9.7 - Prob. 18PSCh. 9.7 - Prob. 19PSCh. 9.7 - Prob. 20PSCh. 9.7 - Prob. 21PSCh. 9.7 - Prob. 22PSCh. 9.7 - Prob. 23PSCh. 9.7 - Prob. 24PSCh. 9.7 - Prob. 25PSCh. 9.7 - Prob. 26PSCh. 9.7 - Prob. 27PSCh. 9.7 - Prob. 28PSCh. 9.7 - Prob. 29PSCh. 9.7 - Prob. 30PSCh. 9.7 - Prob. 31PSCh. 9.7 - Prob. 32PSCh. 9.7 - Prob. 33PSCh. 9.7 - Prob. 34PSCh. 9.7 - Prob. 35PSCh. 9.7 - Prob. 36PSCh. 9.7 - Prob. 37PSCh. 9.7 - Prob. 38PSCh. 9.7 - Prob. 39PSCh. 9.7 - Prob. 40PSCh. 9.7 - Prob. 41PSCh. 9.7 - Prob. 42PSCh. 9.7 - Prob. 43PSCh. 9.7 - Prob. 44PSCh. 9.7 - Prob. 45PSCh. 9.7 - Prob. 46PSCh. 9.7 - Prob. 47PSCh. 9.7 - Prob. 48PSCh. 9.7 - Prob. 49PSCh. 9.7 - Prob. 50PSCh. 9.7 - Prob. 51PSCh. 9.7 - Prob. 52PSCh. 9.7 - Prob. 53PSCh. 9.7 - Prob. 54PSCh. 9.7 - Prob. 55PSCh. 9.7 - Prob. 56PSCh. 9.7 - Prob. 57PSCh. 9.7 - Prob. 58PSCh. 9.7 - Prob. 59PSCh. 9.7 - Prob. 60PSCh. 9 - Prob. 1PECh. 9 - Prob. 2PECh. 9 - Prob. 3PECh. 9 - Prob. 4PECh. 9 - Prob. 5PECh. 9 - Prob. 6PECh. 9 - Prob. 7PECh. 9 - Prob. 8PECh. 9 - Prob. 9PECh. 9 - Prob. 10PECh. 9 - Prob. 11PECh. 9 - Prob. 12PECh. 9 - Prob. 13PECh. 9 - Prob. 14PECh. 9 - Prob. 15PECh. 9 - Prob. 16PECh. 9 - Prob. 17PECh. 9 - Prob. 18PECh. 9 - Prob. 19PECh. 9 - Prob. 20PECh. 9 - Prob. 21PECh. 9 - Prob. 22PECh. 9 - Prob. 23PECh. 9 - Prob. 24PECh. 9 - Prob. 25PECh. 9 - Prob. 26PECh. 9 - Prob. 27PECh. 9 - Prob. 28PECh. 9 - Prob. 29PECh. 9 - Prob. 30PECh. 9 - Prob. 1SPCh. 9 - Prob. 2SPCh. 9 - Prob. 3SPCh. 9 - Prob. 4SPCh. 9 - Prob. 5SPCh. 9 - Prob. 6SPCh. 9 - Prob. 7SPCh. 9 - Prob. 8SPCh. 9 - Prob. 9SPCh. 9 - Prob. 10SPCh. 9 - Prob. 11SPCh. 9 - Prob. 12SPCh. 9 - Prob. 13SPCh. 9 - Prob. 14SPCh. 9 - Prob. 15SPCh. 9 - Prob. 16SPCh. 9 - Prob. 17SPCh. 9 - Prob. 18SPCh. 9 - Prob. 19SPCh. 9 - Prob. 20SPCh. 9 - Prob. 21SPCh. 9 - Prob. 22SPCh. 9 - Prob. 23SPCh. 9 - Prob. 24SPCh. 9 - 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Prob. 81SPCh. 9 - Prob. 82SPCh. 9 - Prob. 83SPCh. 9 - Prob. 84SPCh. 9 - Prob. 85SPCh. 9 - Prob. 86SPCh. 9 - Prob. 87SPCh. 9 - Prob. 88SPCh. 9 - Prob. 89SPCh. 9 - Prob. 90SPCh. 9 - Prob. 91SPCh. 9 - Prob. 92SPCh. 9 - Prob. 93SPCh. 9 - Prob. 94SPCh. 9 - Prob. 95SPCh. 9 - Prob. 96SPCh. 9 - Prob. 97SPCh. 9 - Prob. 98SPCh. 9 - Prob. 99SP
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