Student's Solution and Survival Manual for Calculus
7th Edition
ISBN: 9781524934040
Author: STRAUSS MONTY J, TODA MAGDALENA DANIELE, SMITH KARL J
Publisher: Kendall Hunt Publishing
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Chapter 12.4, Problem 11PS
To determine
To find: A surface area of the given surface.
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-8 -7 -6 -5 -4 -3 -2
-3
23456
-4
-5
-6
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f(x) = 3 sin ( 7/7 x ) +2
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Chapter 12 Solutions
Student's Solution and Survival Manual for Calculus
Ch. 12.1 - Prob. 1PSCh. 12.1 - Prob. 2PSCh. 12.1 - Prob. 3PSCh. 12.1 - Prob. 4PSCh. 12.1 - Prob. 5PSCh. 12.1 - Prob. 6PSCh. 12.1 - Prob. 7PSCh. 12.1 - Prob. 8PSCh. 12.1 - Prob. 9PSCh. 12.1 - Prob. 10PS
Ch. 12.1 - Prob. 11PSCh. 12.1 - Prob. 12PSCh. 12.1 - Prob. 13PSCh. 12.1 - Prob. 14PSCh. 12.1 - Prob. 15PSCh. 12.1 - Prob. 16PSCh. 12.1 - Prob. 17PSCh. 12.1 - Prob. 18PSCh. 12.1 - Prob. 19PSCh. 12.1 - Prob. 20PSCh. 12.1 - Prob. 21PSCh. 12.1 - Prob. 22PSCh. 12.1 - Prob. 23PSCh. 12.1 - Prob. 24PSCh. 12.1 - Prob. 25PSCh. 12.1 - Prob. 26PSCh. 12.1 - Prob. 27PSCh. 12.1 - Prob. 28PSCh. 12.1 - Prob. 29PSCh. 12.1 - Prob. 30PSCh. 12.1 - Prob. 31PSCh. 12.1 - Prob. 32PSCh. 12.1 - Prob. 33PSCh. 12.1 - Prob. 34PSCh. 12.1 - Prob. 35PSCh. 12.1 - Prob. 36PSCh. 12.1 - Prob. 37PSCh. 12.1 - Prob. 38PSCh. 12.1 - Prob. 39PSCh. 12.1 - Prob. 40PSCh. 12.1 - Prob. 41PSCh. 12.1 - Prob. 42PSCh. 12.1 - Prob. 43PSCh. 12.1 - Prob. 44PSCh. 12.1 - Prob. 45PSCh. 12.1 - Prob. 46PSCh. 12.1 - Prob. 47PSCh. 12.1 - Prob. 48PSCh. 12.1 - Prob. 49PSCh. 12.1 - Prob. 50PSCh. 12.1 - Prob. 51PSCh. 12.1 - Prob. 52PSCh. 12.1 - Prob. 53PSCh. 12.1 - Prob. 54PSCh. 12.1 - Prob. 55PSCh. 12.1 - Prob. 56PSCh. 12.1 - Prob. 57PSCh. 12.1 - Prob. 58PSCh. 12.1 - Prob. 59PSCh. 12.1 - Prob. 60PSCh. 12.2 - Prob. 1PSCh. 12.2 - Prob. 2PSCh. 12.2 - Prob. 3PSCh. 12.2 - Prob. 4PSCh. 12.2 - Prob. 5PSCh. 12.2 - Prob. 6PSCh. 12.2 - Prob. 7PSCh. 12.2 - Prob. 8PSCh. 12.2 - Prob. 9PSCh. 12.2 - Prob. 10PSCh. 12.2 - Prob. 11PSCh. 12.2 - Prob. 12PSCh. 12.2 - Prob. 13PSCh. 12.2 - Prob. 14PSCh. 12.2 - Prob. 15PSCh. 12.2 - Prob. 16PSCh. 12.2 - Prob. 17PSCh. 12.2 - Prob. 18PSCh. 12.2 - Prob. 19PSCh. 12.2 - Prob. 20PSCh. 12.2 - Prob. 21PSCh. 12.2 - Prob. 22PSCh. 12.2 - Prob. 23PSCh. 12.2 - Prob. 24PSCh. 12.2 - Prob. 25PSCh. 12.2 - Prob. 26PSCh. 12.2 - Prob. 27PSCh. 12.2 - Prob. 28PSCh. 12.2 - Prob. 29PSCh. 12.2 - Prob. 30PSCh. 12.2 - Prob. 31PSCh. 12.2 - Prob. 32PSCh. 12.2 - Prob. 33PSCh. 12.2 - Prob. 34PSCh. 12.2 - Prob. 35PSCh. 12.2 - Prob. 36PSCh. 12.2 - Prob. 37PSCh. 12.2 - Prob. 38PSCh. 12.2 - Prob. 39PSCh. 12.2 - Prob. 40PSCh. 12.2 - Prob. 41PSCh. 12.2 - Prob. 42PSCh. 12.2 - Prob. 43PSCh. 12.2 - Prob. 44PSCh. 12.2 - Prob. 45PSCh. 12.2 - Prob. 46PSCh. 12.2 - Prob. 47PSCh. 12.2 - Prob. 48PSCh. 12.2 - Prob. 49PSCh. 12.2 - Prob. 50PSCh. 12.2 - Prob. 51PSCh. 12.2 - Prob. 52PSCh. 12.2 - Prob. 53PSCh. 12.2 - Prob. 54PSCh. 12.2 - Prob. 55PSCh. 12.2 - Prob. 56PSCh. 12.2 - Prob. 57PSCh. 12.2 - Prob. 58PSCh. 12.2 - Prob. 59PSCh. 12.2 - Prob. 60PSCh. 12.3 - Prob. 1PSCh. 12.3 - Prob. 2PSCh. 12.3 - Prob. 3PSCh. 12.3 - Prob. 4PSCh. 12.3 - Prob. 5PSCh. 12.3 - Prob. 6PSCh. 12.3 - Prob. 7PSCh. 12.3 - Prob. 8PSCh. 12.3 - Prob. 9PSCh. 12.3 - Prob. 10PSCh. 12.3 - Prob. 11PSCh. 12.3 - Prob. 12PSCh. 12.3 - Prob. 13PSCh. 12.3 - Prob. 14PSCh. 12.3 - Prob. 15PSCh. 12.3 - Prob. 16PSCh. 12.3 - Prob. 17PSCh. 12.3 - Prob. 18PSCh. 12.3 - Prob. 19PSCh. 12.3 - Prob. 20PSCh. 12.3 - Prob. 21PSCh. 12.3 - Prob. 22PSCh. 12.3 - Prob. 23PSCh. 12.3 - Prob. 24PSCh. 12.3 - Prob. 25PSCh. 12.3 - Prob. 26PSCh. 12.3 - Prob. 27PSCh. 12.3 - Prob. 28PSCh. 12.3 - Prob. 29PSCh. 12.3 - Prob. 30PSCh. 12.3 - Prob. 31PSCh. 12.3 - Prob. 32PSCh. 12.3 - Prob. 33PSCh. 12.3 - Prob. 34PSCh. 12.3 - Prob. 35PSCh. 12.3 - Prob. 36PSCh. 12.3 - Prob. 37PSCh. 12.3 - Prob. 38PSCh. 12.3 - Prob. 39PSCh. 12.3 - Prob. 40PSCh. 12.3 - Prob. 41PSCh. 12.3 - Prob. 42PSCh. 12.3 - Prob. 43PSCh. 12.3 - Prob. 44PSCh. 12.3 - Prob. 45PSCh. 12.3 - Prob. 46PSCh. 12.3 - Prob. 47PSCh. 12.3 - Prob. 48PSCh. 12.3 - Prob. 49PSCh. 12.3 - Prob. 50PSCh. 12.3 - Prob. 51PSCh. 12.3 - Prob. 52PSCh. 12.3 - Prob. 53PSCh. 12.3 - Prob. 54PSCh. 12.3 - Prob. 55PSCh. 12.3 - Prob. 56PSCh. 12.3 - Prob. 57PSCh. 12.3 - Prob. 58PSCh. 12.3 - Prob. 59PSCh. 12.3 - Prob. 60PSCh. 12.4 - Prob. 1PSCh. 12.4 - Prob. 2PSCh. 12.4 - Prob. 3PSCh. 12.4 - Prob. 4PSCh. 12.4 - Prob. 5PSCh. 12.4 - Prob. 6PSCh. 12.4 - Prob. 7PSCh. 12.4 - Prob. 8PSCh. 12.4 - Prob. 9PSCh. 12.4 - Prob. 10PSCh. 12.4 - Prob. 11PSCh. 12.4 - Prob. 12PSCh. 12.4 - Prob. 13PSCh. 12.4 - Prob. 14PSCh. 12.4 - Prob. 15PSCh. 12.4 - Prob. 16PSCh. 12.4 - Prob. 17PSCh. 12.4 - Prob. 18PSCh. 12.4 - Prob. 19PSCh. 12.4 - Prob. 20PSCh. 12.4 - Prob. 21PSCh. 12.4 - Prob. 22PSCh. 12.4 - Prob. 23PSCh. 12.4 - Prob. 24PSCh. 12.4 - Prob. 25PSCh. 12.4 - Prob. 26PSCh. 12.4 - Prob. 27PSCh. 12.4 - Prob. 28PSCh. 12.4 - Prob. 29PSCh. 12.4 - Prob. 30PSCh. 12.4 - Prob. 31PSCh. 12.4 - Prob. 32PSCh. 12.4 - Prob. 33PSCh. 12.4 - Prob. 34PSCh. 12.4 - Prob. 35PSCh. 12.4 - Prob. 36PSCh. 12.4 - Prob. 37PSCh. 12.4 - Prob. 38PSCh. 12.4 - Prob. 39PSCh. 12.4 - Prob. 40PSCh. 12.4 - Prob. 41PSCh. 12.4 - Prob. 42PSCh. 12.4 - Prob. 43PSCh. 12.4 - Prob. 44PSCh. 12.4 - Prob. 45PSCh. 12.4 - Prob. 46PSCh. 12.4 - Prob. 47PSCh. 12.4 - Prob. 48PSCh. 12.4 - Prob. 49PSCh. 12.4 - Prob. 50PSCh. 12.4 - Prob. 51PSCh. 12.4 - Prob. 52PSCh. 12.4 - Prob. 53PSCh. 12.4 - Prob. 54PSCh. 12.4 - Prob. 55PSCh. 12.4 - Prob. 56PSCh. 12.4 - Prob. 57PSCh. 12.4 - Prob. 58PSCh. 12.4 - Prob. 59PSCh. 12.4 - Prob. 60PSCh. 12.5 - Prob. 1PSCh. 12.5 - Prob. 2PSCh. 12.5 - Prob. 3PSCh. 12.5 - Prob. 4PSCh. 12.5 - Prob. 5PSCh. 12.5 - Prob. 6PSCh. 12.5 - Prob. 7PSCh. 12.5 - Prob. 8PSCh. 12.5 - Prob. 9PSCh. 12.5 - Prob. 10PSCh. 12.5 - Prob. 11PSCh. 12.5 - Prob. 12PSCh. 12.5 - Prob. 13PSCh. 12.5 - Prob. 14PSCh. 12.5 - Prob. 15PSCh. 12.5 - Prob. 16PSCh. 12.5 - Prob. 17PSCh. 12.5 - Prob. 18PSCh. 12.5 - Prob. 19PSCh. 12.5 - Prob. 20PSCh. 12.5 - Prob. 21PSCh. 12.5 - Prob. 22PSCh. 12.5 - Prob. 23PSCh. 12.5 - Prob. 24PSCh. 12.5 - Prob. 25PSCh. 12.5 - Prob. 26PSCh. 12.5 - Prob. 27PSCh. 12.5 - Prob. 28PSCh. 12.5 - Prob. 29PSCh. 12.5 - Prob. 30PSCh. 12.5 - Prob. 31PSCh. 12.5 - Prob. 32PSCh. 12.5 - Prob. 33PSCh. 12.5 - Prob. 34PSCh. 12.5 - Prob. 35PSCh. 12.5 - Prob. 36PSCh. 12.5 - Prob. 37PSCh. 12.5 - Prob. 38PSCh. 12.5 - Prob. 39PSCh. 12.5 - Prob. 40PSCh. 12.5 - Prob. 41PSCh. 12.5 - Prob. 42PSCh. 12.5 - Prob. 43PSCh. 12.5 - Prob. 44PSCh. 12.5 - Prob. 45PSCh. 12.5 - Prob. 46PSCh. 12.5 - Prob. 47PSCh. 12.5 - Prob. 48PSCh. 12.5 - Prob. 49PSCh. 12.5 - Prob. 50PSCh. 12.5 - Prob. 51PSCh. 12.5 - Prob. 52PSCh. 12.5 - Prob. 53PSCh. 12.5 - Prob. 54PSCh. 12.5 - Prob. 55PSCh. 12.5 - Prob. 56PSCh. 12.5 - Prob. 57PSCh. 12.5 - Prob. 58PSCh. 12.5 - Prob. 59PSCh. 12.5 - Prob. 60PSCh. 12.6 - Prob. 1PSCh. 12.6 - Prob. 2PSCh. 12.6 - Prob. 3PSCh. 12.6 - Prob. 4PSCh. 12.6 - Prob. 5PSCh. 12.6 - Prob. 6PSCh. 12.6 - Prob. 7PSCh. 12.6 - Prob. 8PSCh. 12.6 - Prob. 9PSCh. 12.6 - Prob. 10PSCh. 12.6 - Prob. 11PSCh. 12.6 - Prob. 12PSCh. 12.6 - Prob. 13PSCh. 12.6 - Prob. 14PSCh. 12.6 - Prob. 15PSCh. 12.6 - Prob. 16PSCh. 12.6 - Prob. 17PSCh. 12.6 - Prob. 18PSCh. 12.6 - Prob. 19PSCh. 12.6 - Prob. 20PSCh. 12.6 - Prob. 21PSCh. 12.6 - Prob. 22PSCh. 12.6 - Prob. 23PSCh. 12.6 - Prob. 24PSCh. 12.6 - Prob. 25PSCh. 12.6 - Prob. 26PSCh. 12.6 - Prob. 27PSCh. 12.6 - Prob. 28PSCh. 12.6 - Prob. 29PSCh. 12.6 - Prob. 30PSCh. 12.6 - Prob. 31PSCh. 12.6 - Prob. 32PSCh. 12.6 - Prob. 33PSCh. 12.6 - Prob. 34PSCh. 12.6 - Prob. 35PSCh. 12.6 - Prob. 36PSCh. 12.6 - Prob. 37PSCh. 12.6 - Prob. 38PSCh. 12.6 - Prob. 39PSCh. 12.6 - Prob. 40PSCh. 12.6 - Prob. 41PSCh. 12.6 - Prob. 42PSCh. 12.6 - Prob. 43PSCh. 12.6 - Prob. 44PSCh. 12.6 - Prob. 45PSCh. 12.6 - Prob. 46PSCh. 12.6 - Prob. 47PSCh. 12.6 - Prob. 48PSCh. 12.6 - Prob. 49PSCh. 12.6 - Prob. 50PSCh. 12.6 - Prob. 51PSCh. 12.6 - Prob. 52PSCh. 12.6 - Prob. 53PSCh. 12.6 - Prob. 54PSCh. 12.6 - Prob. 55PSCh. 12.6 - Prob. 56PSCh. 12.6 - Prob. 57PSCh. 12.6 - Prob. 58PSCh. 12.6 - Prob. 59PSCh. 12.6 - Prob. 60PSCh. 12.7 - Prob. 1PSCh. 12.7 - Prob. 2PSCh. 12.7 - Prob. 3PSCh. 12.7 - Prob. 4PSCh. 12.7 - Prob. 5PSCh. 12.7 - Prob. 6PSCh. 12.7 - Prob. 7PSCh. 12.7 - Prob. 8PSCh. 12.7 - Prob. 9PSCh. 12.7 - Prob. 10PSCh. 12.7 - Prob. 11PSCh. 12.7 - Prob. 12PSCh. 12.7 - Prob. 13PSCh. 12.7 - Prob. 14PSCh. 12.7 - Prob. 15PSCh. 12.7 - Prob. 16PSCh. 12.7 - Prob. 17PSCh. 12.7 - Prob. 18PSCh. 12.7 - Prob. 19PSCh. 12.7 - Prob. 20PSCh. 12.7 - Prob. 21PSCh. 12.7 - Prob. 22PSCh. 12.7 - Prob. 23PSCh. 12.7 - Prob. 24PSCh. 12.7 - Prob. 25PSCh. 12.7 - Prob. 26PSCh. 12.7 - Prob. 27PSCh. 12.7 - Prob. 28PSCh. 12.7 - Prob. 29PSCh. 12.7 - Prob. 30PSCh. 12.7 - Prob. 31PSCh. 12.7 - Prob. 32PSCh. 12.7 - Prob. 33PSCh. 12.7 - Prob. 34PSCh. 12.7 - Prob. 35PSCh. 12.7 - Prob. 36PSCh. 12.7 - Prob. 37PSCh. 12.7 - Prob. 38PSCh. 12.7 - Prob. 39PSCh. 12.7 - Prob. 40PSCh. 12.7 - Prob. 41PSCh. 12.7 - Prob. 42PSCh. 12.7 - Prob. 43PSCh. 12.7 - Prob. 44PSCh. 12.7 - Prob. 45PSCh. 12.7 - Prob. 46PSCh. 12.7 - Prob. 47PSCh. 12.7 - Prob. 48PSCh. 12.7 - Prob. 49PSCh. 12.7 - Prob. 50PSCh. 12.7 - Prob. 51PSCh. 12.7 - Prob. 52PSCh. 12.7 - Prob. 53PSCh. 12.7 - Prob. 54PSCh. 12.7 - Prob. 55PSCh. 12.7 - Prob. 56PSCh. 12.7 - Prob. 57PSCh. 12.7 - Prob. 58PSCh. 12.7 - Prob. 59PSCh. 12.7 - Prob. 60PSCh. 12.8 - Prob. 1PSCh. 12.8 - Prob. 2PSCh. 12.8 - Prob. 3PSCh. 12.8 - Prob. 4PSCh. 12.8 - Prob. 5PSCh. 12.8 - Prob. 6PSCh. 12.8 - Prob. 7PSCh. 12.8 - Prob. 8PSCh. 12.8 - Prob. 9PSCh. 12.8 - Prob. 10PSCh. 12.8 - Prob. 11PSCh. 12.8 - Prob. 12PSCh. 12.8 - Prob. 13PSCh. 12.8 - Prob. 14PSCh. 12.8 - Prob. 15PSCh. 12.8 - Prob. 16PSCh. 12.8 - Prob. 17PSCh. 12.8 - Prob. 18PSCh. 12.8 - Prob. 19PSCh. 12.8 - Prob. 20PSCh. 12.8 - Prob. 21PSCh. 12.8 - Prob. 22PSCh. 12.8 - Prob. 23PSCh. 12.8 - Prob. 24PSCh. 12.8 - Prob. 25PSCh. 12.8 - Prob. 26PSCh. 12.8 - Prob. 27PSCh. 12.8 - Prob. 28PSCh. 12.8 - Prob. 29PSCh. 12.8 - Prob. 30PSCh. 12.8 - Prob. 31PSCh. 12.8 - Prob. 32PSCh. 12.8 - Prob. 33PSCh. 12.8 - Prob. 34PSCh. 12.8 - Prob. 35PSCh. 12.8 - Prob. 36PSCh. 12.8 - Prob. 37PSCh. 12.8 - Prob. 38PSCh. 12.8 - Prob. 39PSCh. 12.8 - Prob. 40PSCh. 12.8 - Prob. 41PSCh. 12.8 - Prob. 42PSCh. 12.8 - Prob. 43PSCh. 12.8 - Prob. 44PSCh. 12.8 - Prob. 45PSCh. 12.8 - Prob. 46PSCh. 12.8 - Prob. 47PSCh. 12.8 - Prob. 48PSCh. 12.8 - Prob. 49PSCh. 12.8 - Prob. 50PSCh. 12.8 - Prob. 51PSCh. 12.8 - Prob. 52PSCh. 12.8 - Prob. 53PSCh. 12.8 - Prob. 54PSCh. 12.8 - Prob. 55PSCh. 12.8 - Prob. 56PSCh. 12.8 - Prob. 57PSCh. 12.8 - Prob. 58PSCh. 12.8 - Prob. 59PSCh. 12.8 - Prob. 60PSCh. 12 - Prob. 1PECh. 12 - Prob. 2PECh. 12 - Prob. 3PECh. 12 - Prob. 4PECh. 12 - Prob. 5PECh. 12 - Prob. 6PECh. 12 - Prob. 7PECh. 12 - Prob. 8PECh. 12 - Prob. 9PECh. 12 - Prob. 10PECh. 12 - Prob. 11PECh. 12 - Prob. 12PECh. 12 - Prob. 13PECh. 12 - Prob. 14PECh. 12 - Prob. 15PECh. 12 - Prob. 16PECh. 12 - Prob. 17PECh. 12 - Prob. 18PECh. 12 - Prob. 19PECh. 12 - Prob. 20PECh. 12 - Prob. 21PECh. 12 - Prob. 22PECh. 12 - Prob. 23PECh. 12 - Prob. 24PECh. 12 - Prob. 25PECh. 12 - Prob. 26PECh. 12 - Prob. 27PECh. 12 - Prob. 28PECh. 12 - Prob. 29PECh. 12 - Prob. 30PECh. 12 - Prob. 1SPCh. 12 - Prob. 2SPCh. 12 - Prob. 3SPCh. 12 - Prob. 4SPCh. 12 - Prob. 5SPCh. 12 - Prob. 6SPCh. 12 - Prob. 7SPCh. 12 - Prob. 8SPCh. 12 - Prob. 9SPCh. 12 - Prob. 10SPCh. 12 - Prob. 11SPCh. 12 - Prob. 12SPCh. 12 - Prob. 13SPCh. 12 - Prob. 14SPCh. 12 - Prob. 15SPCh. 12 - Prob. 16SPCh. 12 - Prob. 17SPCh. 12 - Prob. 18SPCh. 12 - Prob. 19SPCh. 12 - Prob. 20SPCh. 12 - Prob. 21SPCh. 12 - Prob. 22SPCh. 12 - Prob. 23SPCh. 12 - Prob. 24SPCh. 12 - Prob. 25SPCh. 12 - Prob. 26SPCh. 12 - Prob. 27SPCh. 12 - Prob. 28SPCh. 12 - Prob. 29SPCh. 12 - Prob. 30SPCh. 12 - Prob. 31SPCh. 12 - Prob. 32SPCh. 12 - Prob. 33SPCh. 12 - Prob. 34SPCh. 12 - Prob. 35SPCh. 12 - Prob. 36SPCh. 12 - Prob. 37SPCh. 12 - Prob. 38SPCh. 12 - Prob. 39SPCh. 12 - Prob. 40SPCh. 12 - Prob. 41SPCh. 12 - Prob. 42SPCh. 12 - Prob. 43SPCh. 12 - Prob. 44SPCh. 12 - Prob. 45SPCh. 12 - Prob. 46SPCh. 12 - Prob. 47SPCh. 12 - Prob. 48SPCh. 12 - Prob. 49SPCh. 12 - Prob. 50SPCh. 12 - Prob. 51SPCh. 12 - Prob. 52SPCh. 12 - Prob. 53SPCh. 12 - Prob. 54SPCh. 12 - Prob. 55SPCh. 12 - Prob. 56SPCh. 12 - Prob. 57SPCh. 12 - Prob. 58SPCh. 12 - Prob. 59SPCh. 12 - Prob. 60SPCh. 12 - Prob. 61SPCh. 12 - Prob. 62SPCh. 12 - Prob. 63SPCh. 12 - Prob. 64SPCh. 12 - Prob. 65SPCh. 12 - Prob. 66SPCh. 12 - Prob. 67SPCh. 12 - Prob. 68SPCh. 12 - Prob. 69SPCh. 12 - Prob. 70SPCh. 12 - Prob. 71SPCh. 12 - Prob. 72SPCh. 12 - Prob. 73SPCh. 12 - Prob. 74SPCh. 12 - Prob. 75SPCh. 12 - Prob. 76SPCh. 12 - Prob. 77SPCh. 12 - Prob. 78SPCh. 12 - Prob. 79SPCh. 12 - Prob. 80SPCh. 12 - Prob. 81SPCh. 12 - Prob. 82SPCh. 12 - Prob. 83SPCh. 12 - Prob. 84SPCh. 12 - Prob. 85SPCh. 12 - Prob. 86SPCh. 12 - Prob. 87SPCh. 12 - Prob. 88SPCh. 12 - Prob. 89SPCh. 12 - Prob. 91SPCh. 12 - Prob. 92SPCh. 12 - Prob. 93SPCh. 12 - Prob. 94SPCh. 12 - Prob. 95SPCh. 12 - Prob. 96SPCh. 12 - Prob. 97SPCh. 12 - Prob. 98SPCh. 12 - Prob. 99SP
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- 2:21 MM -8 -7 -6 -5 -4 0 5 4 3 2 N -3 -4 +5 +6 5G 100% Identify the function whose graph appears above. f(x) = = tan X 3 ✓ Question Help: ☐ Video ☐ Message instructor Submit Question |||arrow_forward4 3. 2. 1 0 Π 元 -1 3 x -53. 5π 2π The graph of the function y = f(x) is shown in the xy-plane. Which of the following is the graph of the polar function r = f(e) in the polar coordinate system? A B Polar axis Polar axis Polar axis Polar axisarrow_forward٣:٥٣ النموذج الاول . . . O O O بشما ند الحمر الحمر الجمهورية الجنية وزارة التربية والتعليم اليوم التاريخ اللجنة العليا للاختبارات الزمن اختبار مادة الجبر والهندسة لجنة المطابع السرية المركزية للشهادة الثانوية العامة (القسم العلمي) الفترة %97 (1) ظلل في ورقة الإجابة الدائرة التي تحتوي على الحرف ( ص ) للإجابة الصحيحة والحرف ( خ ) للإجابة الخطأ بحسب رقم الفقرة لكل مما يأتي ( درجة لكل فقرة ) )1 ) 2 ) 3 ) 4 ) بؤرة القطع س" = ١٢ ص هي ( ۲ ) طول المحور الأصغر للقطع ٩ س + ص = ٩ يساوي 6 وحدات طول . ) إذا كان & عدد مركب ، 181 + 11 = ٦ ، فإن ١١ = ٣ . ) إذا كان م + ۳ ت = ۲ + ت ب م ، ب دع ، فإن م + ب = 5 ( ) إذا كان & = ۱ + ٣ ت ، فإن ٠ = ١٠ . 6 ( - ) إذا كان ٥٠ - ٣ - ١٢٠ ٤ - ٣ ، فإن قيمة ٧ = ٥ . 1 ) = N ) إذا كان ح هو الحد الخالي من س في المفكوك ( س + v. N 8 ( ( قيمة المقدار , = + ۱ ، * . . + ، فإن قيمة ٧ = ١٦ . ۱ + 9 ( ) المستقيمان المقاربان للقطع الذي معادلته س" = ١ هما ص = : ۹ 10 ( ) إذا كان ٥ + س = ٢٤ ، فإن قيمة س = - 1 س 11 ( ) إذا كانت النسبة بين الحدين الأوسطين تساوي 9 في المفكوك ( س + - ) ،…arrow_forward
- الاسم يمنع استخدام الآلة الحاسبة ظلل في ورقة الإجابة الدائرة التي تحتوي على الحرف (ص) للإجابة الصحيحة والحرف (خ) للإجابة الخطأ بحسب رقم الفقرة لكل مما يأتي: درجة لكل فقرة. ( ) نها جا 元 جتا = صفر س ۱ س س -۱ ( ) يمكن إعادة تعريف الدالة د(س) = س قاس لكي تكون متصلة عند س = 7 ( ) إذا كانت د(س) = (٢) س - س ) ؛ فإن د(١) = ٦ ٢ س ص ( ) إذا كانت س + 0= ؛ فإن عند ) - ١ ، - ٦ ) تساوي (٦) ( ) إذا كانت د(س) = س ه ، و (س) = ٣ س ٢ + ٢ س ؛ فإن ( د ) (۱) = ۸ ) ( معادلة ناظم الدالة ص = د(س) عند النقطة ) ( ، د (۲)) هي ص - (د (م) - - د (۲) ( س - م ) ( ) إذا كانت ص = ظتا٢ س ؛ فإن ص = ٢ ص قتا ٢س ) ( إذا كانت د(س) = س ؛ فإن د (T) = جتاس 1- T ( ) إذا كانت د(س) = 1 - جناس جاس ؛ فإن د () = - 1 ( ) إذا كانت الدالة د (س) تحقق شروط مبرهنة القيمة المتوسطة على [ ، ب ] ، فإنه يوجد جـ ] ، ب [ بحيث (جـ) = (P) + (~)- - ب + P 1 2 3 4 5 6 7 8 9 10 11 ( ) للدالة د(س) = لو ( س ) + (٣) نقطة حرجة عند س = . ( ) إذا كان س = - ٢ مقارباً رأسياً للدالة د(س) 12 10 13 14 15 16 17 س = لو|س | + ث - = ۲ س + ٣ ب س + ٤ ، فإن معادلة…arrow_forward2. Symmetry Evaluate the following integrals using symmetry argu- ments. Let R = {(x, y): -a ≤ x ≤ a, −b ≤ y ≤ b}, where a and b are positive real numbers. a. SS Sf xye xye¯(x² + y²) dA R b. C sin (x − y) - dA x² + y² + 1 Rarrow_forwardChoose a convenient order When converted to an iterated integral, the following double integrals are easier to evaluate in one order please show all stepsarrow_forward
- The graph of f' is below. Use it to determine where the local minima and maxima for f are. If there are multiple answers, separate with commas. 2 f'(x) N -5 -4 3-2-1 -1 -2 -3 -4 12 3 4 5 -x Local minima at x Local maxima at xarrow_forwardThe graph of f' is below. Use it to determine the intervals where f is increasing. -5-4-32 4- 3 2 1 -2 -3 +x 2 3 4 5arrow_forwardThe graph of f' is below. Use it to determine where the inflection points are and the intervals where f is concave up and concave down. If there are multiple inflection points, separate with a comma. 6 5 4 3 2 1 f'(x) +x -6-5-4-3 -2 -1 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6+ Inflection point(s) at x = Concave up: Concave down:arrow_forward
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