Calculus
6th Edition
ISBN: 9781465208880
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 7.7, Problem 37PS
To determine
Tofind : the value of improper integral if it converges or show that it diverges.
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Chapter 7 Solutions
Calculus
Ch. 7.1 - Prob. 1PSCh. 7.1 - Prob. 2PSCh. 7.1 - Prob. 3PSCh. 7.1 - Prob. 4PSCh. 7.1 - Prob. 5PSCh. 7.1 - Prob. 6PSCh. 7.1 - Prob. 7PSCh. 7.1 - Prob. 8PSCh. 7.1 - Prob. 9PSCh. 7.1 - Prob. 10PS
Ch. 7.1 - Prob. 11PSCh. 7.1 - Prob. 12PSCh. 7.1 - Prob. 13PSCh. 7.1 - Prob. 14PSCh. 7.1 - Prob. 15PSCh. 7.1 - Prob. 16PSCh. 7.1 - Prob. 17PSCh. 7.1 - Prob. 18PSCh. 7.1 - Prob. 19PSCh. 7.1 - Prob. 20PSCh. 7.1 - Prob. 21PSCh. 7.1 - Prob. 22PSCh. 7.1 - Prob. 23PSCh. 7.1 - Prob. 24PSCh. 7.1 - Prob. 25PSCh. 7.1 - Prob. 26PSCh. 7.1 - Prob. 27PSCh. 7.1 - Prob. 28PSCh. 7.1 - Prob. 29PSCh. 7.1 - Prob. 30PSCh. 7.1 - Prob. 31PSCh. 7.1 - Prob. 32PSCh. 7.1 - Prob. 33PSCh. 7.1 - Prob. 34PSCh. 7.1 - Prob. 35PSCh. 7.1 - Prob. 36PSCh. 7.1 - Prob. 37PSCh. 7.1 - Prob. 38PSCh. 7.1 - Prob. 39PSCh. 7.1 - Prob. 40PSCh. 7.1 - Prob. 41PSCh. 7.1 - Prob. 42PSCh. 7.1 - Prob. 43PSCh. 7.1 - Prob. 44PSCh. 7.1 - Prob. 45PSCh. 7.1 - Prob. 46PSCh. 7.1 - Prob. 47PSCh. 7.1 - Prob. 48PSCh. 7.1 - Prob. 49PSCh. 7.1 - Prob. 50PSCh. 7.1 - Prob. 51PSCh. 7.1 - Prob. 52PSCh. 7.1 - Prob. 53PSCh. 7.1 - Prob. 54PSCh. 7.1 - Prob. 55PSCh. 7.1 - Prob. 56PSCh. 7.1 - Prob. 57PSCh. 7.1 - Prob. 58PSCh. 7.1 - Prob. 59PSCh. 7.1 - Prob. 60PSCh. 7.2 - Prob. 1PSCh. 7.2 - Prob. 2PSCh. 7.2 - Prob. 3PSCh. 7.2 - Prob. 4PSCh. 7.2 - Prob. 5PSCh. 7.2 - Prob. 6PSCh. 7.2 - Prob. 7PSCh. 7.2 - Prob. 8PSCh. 7.2 - Prob. 9PSCh. 7.2 - Prob. 10PSCh. 7.2 - Prob. 11PSCh. 7.2 - Prob. 12PSCh. 7.2 - Prob. 13PSCh. 7.2 - Prob. 14PSCh. 7.2 - Prob. 15PSCh. 7.2 - Prob. 16PSCh. 7.2 - Prob. 17PSCh. 7.2 - Prob. 18PSCh. 7.2 - Prob. 19PSCh. 7.2 - Prob. 20PSCh. 7.2 - Prob. 21PSCh. 7.2 - Prob. 22PSCh. 7.2 - Prob. 23PSCh. 7.2 - Prob. 24PSCh. 7.2 - Prob. 25PSCh. 7.2 - Prob. 26PSCh. 7.2 - Prob. 27PSCh. 7.2 - Prob. 28PSCh. 7.2 - Prob. 29PSCh. 7.2 - Prob. 30PSCh. 7.2 - Prob. 31PSCh. 7.2 - Prob. 32PSCh. 7.2 - Prob. 33PSCh. 7.2 - Prob. 34PSCh. 7.2 - Prob. 35PSCh. 7.2 - Prob. 36PSCh. 7.2 - Prob. 37PSCh. 7.2 - Prob. 38PSCh. 7.2 - Prob. 39PSCh. 7.2 - Prob. 40PSCh. 7.2 - Prob. 41PSCh. 7.2 - Prob. 42PSCh. 7.2 - Prob. 43PSCh. 7.2 - Prob. 44PSCh. 7.2 - Prob. 45PSCh. 7.2 - Prob. 46PSCh. 7.2 - Prob. 47PSCh. 7.2 - Prob. 48PSCh. 7.2 - Prob. 49PSCh. 7.2 - Prob. 50PSCh. 7.2 - Prob. 51PSCh. 7.2 - Prob. 52PSCh. 7.2 - Prob. 53PSCh. 7.2 - Prob. 54PSCh. 7.2 - Prob. 55PSCh. 7.2 - Prob. 56PSCh. 7.2 - Prob. 57PSCh. 7.2 - Prob. 58PSCh. 7.2 - Prob. 59PSCh. 7.2 - Prob. 60PSCh. 7.3 - Prob. 1PSCh. 7.3 - Prob. 2PSCh. 7.3 - Prob. 3PSCh. 7.3 - Prob. 4PSCh. 7.3 - Prob. 5PSCh. 7.3 - Prob. 6PSCh. 7.3 - Prob. 7PSCh. 7.3 - Prob. 8PSCh. 7.3 - Prob. 9PSCh. 7.3 - Prob. 10PSCh. 7.3 - Prob. 11PSCh. 7.3 - Prob. 12PSCh. 7.3 - Prob. 13PSCh. 7.3 - Prob. 14PSCh. 7.3 - Prob. 15PSCh. 7.3 - Prob. 16PSCh. 7.3 - Prob. 17PSCh. 7.3 - Prob. 18PSCh. 7.3 - Prob. 19PSCh. 7.3 - Prob. 20PSCh. 7.3 - Prob. 21PSCh. 7.3 - Prob. 22PSCh. 7.3 - Prob. 23PSCh. 7.3 - Prob. 24PSCh. 7.3 - Prob. 25PSCh. 7.3 - Prob. 26PSCh. 7.3 - Prob. 27PSCh. 7.3 - Prob. 28PSCh. 7.3 - Prob. 29PSCh. 7.3 - Prob. 30PSCh. 7.3 - Prob. 31PSCh. 7.3 - Prob. 32PSCh. 7.3 - Prob. 33PSCh. 7.3 - Prob. 34PSCh. 7.3 - Prob. 35PSCh. 7.3 - Prob. 36PSCh. 7.3 - Prob. 37PSCh. 7.3 - Prob. 38PSCh. 7.3 - Prob. 39PSCh. 7.3 - Prob. 40PSCh. 7.3 - Prob. 41PSCh. 7.3 - Prob. 42PSCh. 7.3 - 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Prob. 34PSCh. 7.4 - Prob. 35PSCh. 7.4 - Prob. 36PSCh. 7.4 - Prob. 37PSCh. 7.4 - Prob. 38PSCh. 7.4 - Prob. 39PSCh. 7.4 - Prob. 40PSCh. 7.4 - Prob. 41PSCh. 7.4 - Prob. 42PSCh. 7.4 - Prob. 43PSCh. 7.4 - Prob. 44PSCh. 7.4 - Prob. 45PSCh. 7.4 - Prob. 46PSCh. 7.4 - Prob. 47PSCh. 7.4 - Prob. 48PSCh. 7.4 - Prob. 49PSCh. 7.4 - Prob. 50PSCh. 7.4 - Prob. 51PSCh. 7.4 - Prob. 52PSCh. 7.4 - Prob. 53PSCh. 7.4 - Prob. 54PSCh. 7.4 - Prob. 55PSCh. 7.4 - Prob. 56PSCh. 7.4 - Prob. 57PSCh. 7.4 - Prob. 58PSCh. 7.4 - Prob. 59PSCh. 7.4 - Prob. 60PSCh. 7.5 - Prob. 1PSCh. 7.5 - Prob. 2PSCh. 7.5 - Prob. 3PSCh. 7.5 - Prob. 4PSCh. 7.5 - Prob. 5PSCh. 7.5 - Prob. 6PSCh. 7.5 - Prob. 7PSCh. 7.5 - Prob. 8PSCh. 7.5 - Prob. 9PSCh. 7.5 - Prob. 10PSCh. 7.5 - Prob. 11PSCh. 7.5 - Prob. 12PSCh. 7.5 - Prob. 13PSCh. 7.5 - Prob. 14PSCh. 7.5 - Prob. 15PSCh. 7.5 - Prob. 16PSCh. 7.5 - Prob. 17PSCh. 7.5 - Prob. 18PSCh. 7.5 - Prob. 19PSCh. 7.5 - Prob. 20PSCh. 7.5 - Prob. 21PSCh. 7.5 - Prob. 22PSCh. 7.5 - Prob. 23PSCh. 7.5 - Prob. 24PSCh. 7.5 - Prob. 25PSCh. 7.5 - Prob. 26PSCh. 7.5 - Prob. 27PSCh. 7.5 - Prob. 28PSCh. 7.5 - Prob. 29PSCh. 7.5 - Prob. 30PSCh. 7.5 - Prob. 31PSCh. 7.5 - Prob. 32PSCh. 7.5 - Prob. 33PSCh. 7.5 - Prob. 34PSCh. 7.5 - Prob. 35PSCh. 7.5 - Prob. 36PSCh. 7.5 - Prob. 37PSCh. 7.5 - Prob. 38PSCh. 7.5 - Prob. 39PSCh. 7.5 - Prob. 40PSCh. 7.5 - Prob. 41PSCh. 7.5 - Prob. 42PSCh. 7.5 - Prob. 43PSCh. 7.5 - Prob. 44PSCh. 7.5 - Prob. 45PSCh. 7.5 - Prob. 46PSCh. 7.5 - Prob. 47PSCh. 7.5 - Prob. 48PSCh. 7.5 - Prob. 49PSCh. 7.5 - Prob. 50PSCh. 7.5 - Prob. 51PSCh. 7.5 - Prob. 52PSCh. 7.5 - Prob. 53PSCh. 7.5 - Prob. 54PSCh. 7.5 - Prob. 55PSCh. 7.5 - Prob. 56PSCh. 7.5 - Prob. 57PSCh. 7.5 - Prob. 58PSCh. 7.5 - Prob. 59PSCh. 7.5 - Prob. 60PSCh. 7.6 - Prob. 1PSCh. 7.6 - Prob. 2PSCh. 7.6 - Prob. 3PSCh. 7.6 - Prob. 4PSCh. 7.6 - Prob. 5PSCh. 7.6 - Prob. 6PSCh. 7.6 - Prob. 7PSCh. 7.6 - Prob. 8PSCh. 7.6 - Prob. 9PSCh. 7.6 - Prob. 10PSCh. 7.6 - Prob. 11PSCh. 7.6 - Prob. 12PSCh. 7.6 - Prob. 13PSCh. 7.6 - Prob. 14PSCh. 7.6 - Prob. 15PSCh. 7.6 - Prob. 16PSCh. 7.6 - Prob. 17PSCh. 7.6 - Prob. 18PSCh. 7.6 - Prob. 19PSCh. 7.6 - Prob. 20PSCh. 7.6 - Prob. 21PSCh. 7.6 - Prob. 22PSCh. 7.6 - Prob. 23PSCh. 7.6 - Prob. 24PSCh. 7.6 - Prob. 25PSCh. 7.6 - Prob. 26PSCh. 7.6 - Prob. 27PSCh. 7.6 - Prob. 28PSCh. 7.6 - Prob. 29PSCh. 7.6 - Prob. 30PSCh. 7.6 - Prob. 31PSCh. 7.6 - Prob. 32PSCh. 7.6 - Prob. 33PSCh. 7.6 - Prob. 34PSCh. 7.6 - Prob. 35PSCh. 7.6 - Prob. 36PSCh. 7.6 - Prob. 37PSCh. 7.6 - Prob. 38PSCh. 7.6 - Prob. 39PSCh. 7.6 - Prob. 40PSCh. 7.6 - Prob. 41PSCh. 7.6 - Prob. 42PSCh. 7.6 - Prob. 43PSCh. 7.6 - Prob. 44PSCh. 7.6 - Prob. 45PSCh. 7.6 - Prob. 46PSCh. 7.6 - Prob. 47PSCh. 7.6 - Prob. 48PSCh. 7.6 - Prob. 49PSCh. 7.6 - Prob. 50PSCh. 7.6 - Prob. 51PSCh. 7.6 - Prob. 52PSCh. 7.6 - Prob. 53PSCh. 7.6 - Prob. 54PSCh. 7.6 - Prob. 55PSCh. 7.6 - Prob. 56PSCh. 7.6 - Prob. 57PSCh. 7.6 - Prob. 58PSCh. 7.6 - Prob. 59PSCh. 7.6 - Prob. 60PSCh. 7.7 - Prob. 1PSCh. 7.7 - Prob. 2PSCh. 7.7 - Prob. 3PSCh. 7.7 - Prob. 4PSCh. 7.7 - Prob. 5PSCh. 7.7 - Prob. 6PSCh. 7.7 - Prob. 7PSCh. 7.7 - Prob. 8PSCh. 7.7 - Prob. 9PSCh. 7.7 - Prob. 10PSCh. 7.7 - Prob. 11PSCh. 7.7 - Prob. 12PSCh. 7.7 - Prob. 13PSCh. 7.7 - Prob. 14PSCh. 7.7 - Prob. 15PSCh. 7.7 - Prob. 16PSCh. 7.7 - Prob. 17PSCh. 7.7 - Prob. 18PSCh. 7.7 - Prob. 19PSCh. 7.7 - Prob. 20PSCh. 7.7 - Prob. 21PSCh. 7.7 - Prob. 22PSCh. 7.7 - Prob. 23PSCh. 7.7 - Prob. 24PSCh. 7.7 - Prob. 25PSCh. 7.7 - Prob. 26PSCh. 7.7 - Prob. 27PSCh. 7.7 - Prob. 28PSCh. 7.7 - Prob. 29PSCh. 7.7 - Prob. 30PSCh. 7.7 - Prob. 31PSCh. 7.7 - Prob. 32PSCh. 7.7 - Prob. 33PSCh. 7.7 - Prob. 34PSCh. 7.7 - Prob. 35PSCh. 7.7 - Prob. 36PSCh. 7.7 - Prob. 37PSCh. 7.7 - Prob. 38PSCh. 7.7 - Prob. 39PSCh. 7.7 - Prob. 40PSCh. 7.7 - Prob. 41PSCh. 7.7 - Prob. 42PSCh. 7.7 - Prob. 43PSCh. 7.7 - Prob. 44PSCh. 7.7 - Prob. 45PSCh. 7.7 - Prob. 46PSCh. 7.7 - Prob. 47PSCh. 7.7 - Prob. 48PSCh. 7.7 - Prob. 49PSCh. 7.7 - Prob. 50PSCh. 7.7 - Prob. 51PSCh. 7.7 - Prob. 52PSCh. 7.7 - Prob. 53PSCh. 7.7 - Prob. 54PSCh. 7.7 - Prob. 55PSCh. 7.7 - Prob. 56PSCh. 7.7 - Prob. 57PSCh. 7.7 - Prob. 58PSCh. 7.7 - Prob. 59PSCh. 7.7 - Prob. 60PSCh. 7.8 - Prob. 1PSCh. 7.8 - Prob. 2PSCh. 7.8 - Prob. 3PSCh. 7.8 - Prob. 4PSCh. 7.8 - Prob. 5PSCh. 7.8 - Prob. 6PSCh. 7.8 - Prob. 7PSCh. 7.8 - Prob. 8PSCh. 7.8 - Prob. 9PSCh. 7.8 - Prob. 10PSCh. 7.8 - Prob. 11PSCh. 7.8 - Prob. 12PSCh. 7.8 - Prob. 13PSCh. 7.8 - Prob. 14PSCh. 7.8 - Prob. 15PSCh. 7.8 - Prob. 16PSCh. 7.8 - Prob. 17PSCh. 7.8 - Prob. 18PSCh. 7.8 - Prob. 19PSCh. 7.8 - Prob. 20PSCh. 7.8 - Prob. 21PSCh. 7.8 - Prob. 22PSCh. 7.8 - Prob. 23PSCh. 7.8 - Prob. 24PSCh. 7.8 - Prob. 25PSCh. 7.8 - Prob. 26PSCh. 7.8 - Prob. 27PSCh. 7.8 - Prob. 28PSCh. 7.8 - Prob. 29PSCh. 7.8 - Prob. 30PSCh. 7.8 - Prob. 31PSCh. 7.8 - Prob. 32PSCh. 7.8 - Prob. 33PSCh. 7.8 - Prob. 34PSCh. 7.8 - Prob. 35PSCh. 7.8 - Prob. 36PSCh. 7.8 - Prob. 37PSCh. 7.8 - Prob. 38PSCh. 7.8 - Prob. 39PSCh. 7.8 - Prob. 40PSCh. 7.8 - Prob. 41PSCh. 7.8 - Prob. 42PSCh. 7.8 - Prob. 43PSCh. 7.8 - Prob. 44PSCh. 7.8 - Prob. 45PSCh. 7.8 - Prob. 46PSCh. 7.8 - Prob. 47PSCh. 7.8 - Prob. 48PSCh. 7.8 - Prob. 49PSCh. 7.8 - Prob. 50PSCh. 7.8 - Prob. 51PSCh. 7.8 - Prob. 52PSCh. 7.8 - Prob. 53PSCh. 7.8 - Prob. 54PSCh. 7.8 - Prob. 55PSCh. 7.8 - Prob. 56PSCh. 7.8 - Prob. 57PSCh. 7.8 - Prob. 58PSCh. 7.8 - Prob. 59PSCh. 7.8 - Prob. 60PSCh. 7 - Prob. 1PECh. 7 - Prob. 2PECh. 7 - Prob. 3PECh. 7 - Prob. 4PECh. 7 - Prob. 5PECh. 7 - Prob. 6PECh. 7 - Prob. 7PECh. 7 - Prob. 8PECh. 7 - Prob. 9PECh. 7 - Prob. 10PECh. 7 - Prob. 11PECh. 7 - Prob. 12PECh. 7 - Prob. 13PECh. 7 - Prob. 14PECh. 7 - Prob. 15PECh. 7 - Prob. 16PECh. 7 - Prob. 17PECh. 7 - Prob. 18PECh. 7 - Prob. 19PECh. 7 - Prob. 20PECh. 7 - Prob. 21PECh. 7 - Prob. 22PECh. 7 - Prob. 23PECh. 7 - Prob. 24PECh. 7 - Prob. 25PECh. 7 - Prob. 26PECh. 7 - Prob. 27PECh. 7 - Prob. 28PECh. 7 - Prob. 29PECh. 7 - Prob. 30PECh. 7 - Prob. 1SPCh. 7 - Prob. 2SPCh. 7 - Prob. 3SPCh. 7 - Prob. 4SPCh. 7 - Prob. 5SPCh. 7 - Prob. 6SPCh. 7 - Prob. 7SPCh. 7 - Prob. 8SPCh. 7 - Prob. 9SPCh. 7 - Prob. 10SPCh. 7 - Prob. 11SPCh. 7 - Prob. 12SPCh. 7 - Prob. 13SPCh. 7 - Prob. 14SPCh. 7 - Prob. 15SPCh. 7 - Prob. 16SPCh. 7 - Prob. 17SPCh. 7 - Prob. 18SPCh. 7 - Prob. 19SPCh. 7 - Prob. 20SPCh. 7 - Prob. 21SPCh. 7 - Prob. 22SPCh. 7 - Prob. 23SPCh. 7 - Prob. 24SPCh. 7 - Prob. 25SPCh. 7 - Prob. 26SPCh. 7 - Prob. 27SPCh. 7 - Prob. 28SPCh. 7 - Prob. 29SPCh. 7 - Prob. 30SPCh. 7 - Prob. 31SPCh. 7 - Prob. 32SPCh. 7 - Prob. 33SPCh. 7 - Prob. 34SPCh. 7 - Prob. 35SPCh. 7 - Prob. 36SPCh. 7 - Prob. 37SPCh. 7 - Prob. 38SPCh. 7 - Prob. 39SPCh. 7 - Prob. 40SPCh. 7 - Prob. 41SPCh. 7 - Prob. 42SPCh. 7 - Prob. 43SPCh. 7 - Prob. 44SPCh. 7 - Prob. 45SPCh. 7 - Prob. 46SPCh. 7 - Prob. 47SPCh. 7 - Prob. 48SPCh. 7 - Prob. 49SPCh. 7 - Prob. 50SPCh. 7 - Prob. 51SPCh. 7 - Prob. 52SPCh. 7 - Prob. 53SPCh. 7 - Prob. 54SPCh. 7 - Prob. 55SPCh. 7 - Prob. 56SPCh. 7 - Prob. 57SPCh. 7 - Prob. 58SPCh. 7 - Prob. 59SPCh. 7 - Prob. 60SPCh. 7 - Prob. 61SPCh. 7 - Prob. 62SPCh. 7 - Prob. 63SPCh. 7 - Prob. 64SPCh. 7 - Prob. 65SPCh. 7 - Prob. 66SPCh. 7 - Prob. 67SPCh. 7 - Prob. 68SPCh. 7 - Prob. 69SPCh. 7 - Prob. 70SPCh. 7 - 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- 34. Oil is pumped into a tank at a rate of r(t) = 25 (1 - e-0.2²t) gallons per minute, where t is the number of minutes since the pump was turned on. If the tank contains 50 gallons of oil at time t = 0, how much oil, to the nearest gallon, is in the tank after 40 minutes?arrow_forward5. Betty and Bob Auto have conducted an advertising campaign. They expect that the sales (in millions of dollars) will increase at a monthly rate of s' (t) = 10 – 10e-0.1t. 0arrow_forward13.5 Suppose *** f(x) dx = 2, S 6 11 8.5 f(x) dx = 8.5 ** (2 f(x) — 4)dx = | 11 8.5 √5³ f(a)dx = 4, 6 - 13.5 1³ f(x) dx = 6.arrow_forward5. The rate at which the total monthly profit is changing is given by P'(t) where t is number of 25 units made each month. What does the integral P'(t) dt represent? Write a sentence to 10 explain what this integral represents.arrow_forwardShow mathematically that MRS is increasing for U=1-ex +e2y and is diminishing for U=lnX +LnYarrow_forward4. Monthly sales of a particular computer are expected to decline at a rate of d(t) = −25t 2/3 computers per month, where t is time in months. Currently, monthly sales are 2,000 computers. Determine monthly sales 8 months from now.arrow_forwardarrow_back_iosarrow_forward_ios
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