Calculus
6th Edition
ISBN: 9781465208880
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 10, Problem 97SP
To determine
To show: the gun must be at a distance of
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Chapter 10 Solutions
Calculus
Ch. 10.1 - Prob. 1PSCh. 10.1 - Prob. 2PSCh. 10.1 - Prob. 3PSCh. 10.1 - Prob. 4PSCh. 10.1 - Prob. 5PSCh. 10.1 - Prob. 6PSCh. 10.1 - Prob. 7PSCh. 10.1 - Prob. 8PSCh. 10.1 - Prob. 9PSCh. 10.1 - Prob. 10PS
Ch. 10.1 - Prob. 11PSCh. 10.1 - Prob. 12PSCh. 10.1 - Prob. 13PSCh. 10.1 - Prob. 14PSCh. 10.1 - Prob. 15PSCh. 10.1 - Prob. 16PSCh. 10.1 - Prob. 17PSCh. 10.1 - Prob. 18PSCh. 10.1 - Prob. 19PSCh. 10.1 - Prob. 20PSCh. 10.1 - Prob. 21PSCh. 10.1 - Prob. 22PSCh. 10.1 - Prob. 23PSCh. 10.1 - Prob. 24PSCh. 10.1 - Prob. 25PSCh. 10.1 - Prob. 26PSCh. 10.1 - Prob. 27PSCh. 10.1 - Prob. 28PSCh. 10.1 - Prob. 29PSCh. 10.1 - Prob. 30PSCh. 10.1 - Prob. 31PSCh. 10.1 - Prob. 32PSCh. 10.1 - Prob. 33PSCh. 10.1 - Prob. 34PSCh. 10.1 - Prob. 35PSCh. 10.1 - Prob. 36PSCh. 10.1 - Prob. 37PSCh. 10.1 - Prob. 38PSCh. 10.1 - Prob. 39PSCh. 10.1 - Prob. 40PSCh. 10.1 - Prob. 41PSCh. 10.1 - Prob. 42PSCh. 10.1 - Prob. 43PSCh. 10.1 - Prob. 44PSCh. 10.1 - Prob. 45PSCh. 10.1 - Prob. 46PSCh. 10.1 - Prob. 47PSCh. 10.1 - Prob. 48PSCh. 10.1 - Prob. 49PSCh. 10.1 - Prob. 50PSCh. 10.1 - Prob. 51PSCh. 10.1 - Prob. 52PSCh. 10.1 - Prob. 53PSCh. 10.1 - Prob. 54PSCh. 10.1 - Prob. 55PSCh. 10.1 - Prob. 56PSCh. 10.1 - Prob. 57PSCh. 10.1 - Prob. 58PSCh. 10.1 - Prob. 59PSCh. 10.1 - Prob. 60PSCh. 10.2 - Prob. 1PSCh. 10.2 - Prob. 2PSCh. 10.2 - Prob. 3PSCh. 10.2 - Prob. 4PSCh. 10.2 - Prob. 5PSCh. 10.2 - Prob. 6PSCh. 10.2 - Prob. 7PSCh. 10.2 - Prob. 8PSCh. 10.2 - Prob. 9PSCh. 10.2 - Prob. 10PSCh. 10.2 - Prob. 11PSCh. 10.2 - Prob. 12PSCh. 10.2 - Prob. 13PSCh. 10.2 - Prob. 14PSCh. 10.2 - Prob. 15PSCh. 10.2 - Prob. 16PSCh. 10.2 - Prob. 17PSCh. 10.2 - Prob. 18PSCh. 10.2 - Prob. 19PSCh. 10.2 - Prob. 20PSCh. 10.2 - Prob. 21PSCh. 10.2 - Prob. 22PSCh. 10.2 - Prob. 23PSCh. 10.2 - Prob. 24PSCh. 10.2 - Prob. 25PSCh. 10.2 - Prob. 26PSCh. 10.2 - Prob. 27PSCh. 10.2 - Prob. 28PSCh. 10.2 - Prob. 29PSCh. 10.2 - Prob. 30PSCh. 10.2 - Prob. 31PSCh. 10.2 - Prob. 32PSCh. 10.2 - Prob. 33PSCh. 10.2 - Prob. 34PSCh. 10.2 - Prob. 35PSCh. 10.2 - Prob. 36PSCh. 10.2 - Prob. 37PSCh. 10.2 - Prob. 38PSCh. 10.2 - Prob. 39PSCh. 10.2 - Prob. 40PSCh. 10.2 - Prob. 41PSCh. 10.2 - Prob. 42PSCh. 10.2 - Prob. 43PSCh. 10.2 - Prob. 44PSCh. 10.2 - Prob. 45PSCh. 10.2 - Prob. 46PSCh. 10.2 - Prob. 47PSCh. 10.2 - Prob. 48PSCh. 10.2 - Prob. 49PSCh. 10.2 - Prob. 50PSCh. 10.2 - Prob. 51PSCh. 10.2 - Prob. 52PSCh. 10.2 - Prob. 53PSCh. 10.2 - Prob. 54PSCh. 10.2 - Prob. 55PSCh. 10.2 - Prob. 56PSCh. 10.2 - Prob. 57PSCh. 10.2 - Prob. 58PSCh. 10.2 - Prob. 59PSCh. 10.2 - Prob. 60PSCh. 10.3 - Prob. 1PSCh. 10.3 - Prob. 2PSCh. 10.3 - Prob. 3PSCh. 10.3 - Prob. 4PSCh. 10.3 - Prob. 5PSCh. 10.3 - Prob. 6PSCh. 10.3 - Prob. 7PSCh. 10.3 - Prob. 8PSCh. 10.3 - Prob. 9PSCh. 10.3 - Prob. 10PSCh. 10.3 - Prob. 11PSCh. 10.3 - Prob. 12PSCh. 10.3 - Prob. 13PSCh. 10.3 - Prob. 14PSCh. 10.3 - Prob. 15PSCh. 10.3 - Prob. 16PSCh. 10.3 - Prob. 17PSCh. 10.3 - Prob. 18PSCh. 10.3 - Prob. 19PSCh. 10.3 - Prob. 20PSCh. 10.3 - Prob. 21PSCh. 10.3 - Prob. 22PSCh. 10.3 - Prob. 23PSCh. 10.3 - Prob. 24PSCh. 10.3 - Prob. 25PSCh. 10.3 - Prob. 26PSCh. 10.3 - Prob. 27PSCh. 10.3 - Prob. 28PSCh. 10.3 - Prob. 29PSCh. 10.3 - Prob. 30PSCh. 10.3 - Prob. 31PSCh. 10.3 - Prob. 32PSCh. 10.3 - Prob. 33PSCh. 10.3 - Prob. 34PSCh. 10.3 - Prob. 35PSCh. 10.3 - Prob. 36PSCh. 10.3 - Prob. 37PSCh. 10.3 - Prob. 38PSCh. 10.3 - Prob. 39PSCh. 10.3 - Prob. 40PSCh. 10.3 - Prob. 41PSCh. 10.3 - Prob. 42PSCh. 10.3 - Prob. 43PSCh. 10.3 - Prob. 44PSCh. 10.3 - Prob. 45PSCh. 10.3 - Prob. 46PSCh. 10.3 - Prob. 47PSCh. 10.3 - Prob. 48PSCh. 10.3 - Prob. 49PSCh. 10.3 - Prob. 50PSCh. 10.3 - Prob. 51PSCh. 10.3 - Prob. 52PSCh. 10.3 - Prob. 53PSCh. 10.3 - Prob. 54PSCh. 10.3 - Prob. 55PSCh. 10.3 - Prob. 56PSCh. 10.3 - Prob. 57PSCh. 10.3 - Prob. 58PSCh. 10.3 - Prob. 59PSCh. 10.3 - Prob. 60PSCh. 10.4 - Prob. 1PSCh. 10.4 - Prob. 2PSCh. 10.4 - Prob. 3PSCh. 10.4 - Prob. 4PSCh. 10.4 - Prob. 5PSCh. 10.4 - Prob. 6PSCh. 10.4 - Prob. 7PSCh. 10.4 - Prob. 8PSCh. 10.4 - Prob. 9PSCh. 10.4 - Prob. 10PSCh. 10.4 - Prob. 11PSCh. 10.4 - Prob. 12PSCh. 10.4 - Prob. 13PSCh. 10.4 - Prob. 14PSCh. 10.4 - Prob. 15PSCh. 10.4 - Prob. 16PSCh. 10.4 - Prob. 17PSCh. 10.4 - Prob. 18PSCh. 10.4 - Prob. 19PSCh. 10.4 - Prob. 20PSCh. 10.4 - Prob. 21PSCh. 10.4 - Prob. 22PSCh. 10.4 - Prob. 23PSCh. 10.4 - Prob. 24PSCh. 10.4 - Prob. 25PSCh. 10.4 - Prob. 26PSCh. 10.4 - Prob. 27PSCh. 10.4 - Prob. 28PSCh. 10.4 - Prob. 29PSCh. 10.4 - Prob. 30PSCh. 10.4 - Prob. 31PSCh. 10.4 - Prob. 32PSCh. 10.4 - Prob. 33PSCh. 10.4 - Prob. 34PSCh. 10.4 - Prob. 35PSCh. 10.4 - Prob. 36PSCh. 10.4 - Prob. 37PSCh. 10.4 - Prob. 38PSCh. 10.4 - Prob. 39PSCh. 10.4 - Prob. 40PSCh. 10.4 - Prob. 41PSCh. 10.4 - Prob. 42PSCh. 10.4 - Prob. 43PSCh. 10.4 - Prob. 44PSCh. 10.4 - Prob. 45PSCh. 10.4 - Prob. 46PSCh. 10.4 - Prob. 47PSCh. 10.4 - Prob. 48PSCh. 10.4 - Prob. 49PSCh. 10.4 - Prob. 50PSCh. 10.4 - Prob. 51PSCh. 10.4 - Prob. 52PSCh. 10.4 - Prob. 53PSCh. 10.4 - Prob. 54PSCh. 10.4 - Prob. 55PSCh. 10.4 - Prob. 56PSCh. 10.4 - Prob. 57PSCh. 10.4 - Prob. 58PSCh. 10.4 - Prob. 59PSCh. 10.4 - Prob. 60PSCh. 10.5 - Prob. 1PSCh. 10.5 - Prob. 2PSCh. 10.5 - Prob. 3PSCh. 10.5 - Prob. 4PSCh. 10.5 - Prob. 5PSCh. 10.5 - Prob. 6PSCh. 10.5 - Prob. 7PSCh. 10.5 - Prob. 8PSCh. 10.5 - Prob. 9PSCh. 10.5 - Prob. 10PSCh. 10.5 - Prob. 11PSCh. 10.5 - Prob. 12PSCh. 10.5 - Prob. 13PSCh. 10.5 - Prob. 14PSCh. 10.5 - Prob. 15PSCh. 10.5 - Prob. 16PSCh. 10.5 - Prob. 17PSCh. 10.5 - Prob. 18PSCh. 10.5 - Prob. 19PSCh. 10.5 - Prob. 20PSCh. 10.5 - Prob. 21PSCh. 10.5 - Prob. 22PSCh. 10.5 - Prob. 23PSCh. 10.5 - Prob. 24PSCh. 10.5 - Prob. 25PSCh. 10.5 - Prob. 26PSCh. 10.5 - Prob. 27PSCh. 10.5 - Prob. 28PSCh. 10.5 - Prob. 29PSCh. 10.5 - Prob. 30PSCh. 10.5 - Prob. 31PSCh. 10.5 - Prob. 32PSCh. 10.5 - Prob. 33PSCh. 10.5 - Prob. 34PSCh. 10.5 - Prob. 35PSCh. 10.5 - Prob. 36PSCh. 10.5 - Prob. 37PSCh. 10.5 - Prob. 38PSCh. 10.5 - Prob. 39PSCh. 10.5 - Prob. 40PSCh. 10.5 - Prob. 41PSCh. 10.5 - Prob. 42PSCh. 10.5 - Prob. 43PSCh. 10.5 - Prob. 44PSCh. 10.5 - Prob. 45PSCh. 10.5 - Prob. 46PSCh. 10.5 - Prob. 47PSCh. 10.5 - Prob. 48PSCh. 10.5 - Prob. 49PSCh. 10.5 - Prob. 50PSCh. 10.5 - Prob. 51PSCh. 10.5 - Prob. 52PSCh. 10.5 - Prob. 53PSCh. 10.5 - Prob. 54PSCh. 10.5 - Prob. 55PSCh. 10.5 - Prob. 56PSCh. 10.5 - Prob. 57PSCh. 10.5 - Prob. 58PSCh. 10.5 - Prob. 59PSCh. 10.5 - Prob. 60PSCh. 10 - Prob. 1PECh. 10 - Prob. 2PECh. 10 - Prob. 3PECh. 10 - Prob. 4PECh. 10 - Prob. 5PECh. 10 - Prob. 6PECh. 10 - Prob. 7PECh. 10 - Prob. 8PECh. 10 - Prob. 9PECh. 10 - Prob. 10PECh. 10 - Prob. 11PECh. 10 - Prob. 12PECh. 10 - Prob. 13PECh. 10 - Prob. 14PECh. 10 - Prob. 15PECh. 10 - Prob. 16PECh. 10 - Prob. 17PECh. 10 - Prob. 18PECh. 10 - Prob. 19PECh. 10 - Prob. 20PECh. 10 - Prob. 21PECh. 10 - Prob. 22PECh. 10 - Prob. 23PECh. 10 - Prob. 24PECh. 10 - Prob. 25PECh. 10 - Prob. 26PECh. 10 - Prob. 27PECh. 10 - Prob. 28PECh. 10 - Prob. 29PECh. 10 - Prob. 30PECh. 10 - Prob. 1SPCh. 10 - Prob. 2SPCh. 10 - Prob. 3SPCh. 10 - Prob. 4SPCh. 10 - Prob. 5SPCh. 10 - Prob. 6SPCh. 10 - Prob. 7SPCh. 10 - Prob. 8SPCh. 10 - Prob. 9SPCh. 10 - Prob. 10SPCh. 10 - Prob. 11SPCh. 10 - Prob. 12SPCh. 10 - Prob. 13SPCh. 10 - Prob. 14SPCh. 10 - Prob. 15SPCh. 10 - Prob. 16SPCh. 10 - Prob. 17SPCh. 10 - Prob. 18SPCh. 10 - Prob. 19SPCh. 10 - Prob. 20SPCh. 10 - Prob. 21SPCh. 10 - Prob. 22SPCh. 10 - Prob. 23SPCh. 10 - Prob. 24SPCh. 10 - Prob. 25SPCh. 10 - Prob. 26SPCh. 10 - Prob. 27SPCh. 10 - Prob. 28SPCh. 10 - Prob. 29SPCh. 10 - Prob. 30SPCh. 10 - Prob. 31SPCh. 10 - Prob. 32SPCh. 10 - Prob. 33SPCh. 10 - Prob. 34SPCh. 10 - Prob. 35SPCh. 10 - Prob. 36SPCh. 10 - Prob. 37SPCh. 10 - Prob. 38SPCh. 10 - Prob. 39SPCh. 10 - Prob. 40SPCh. 10 - Prob. 41SPCh. 10 - Prob. 42SPCh. 10 - Prob. 43SPCh. 10 - Prob. 44SPCh. 10 - Prob. 45SPCh. 10 - Prob. 46SPCh. 10 - Prob. 47SPCh. 10 - Prob. 48SPCh. 10 - Prob. 49SPCh. 10 - Prob. 50SPCh. 10 - Prob. 51SPCh. 10 - Prob. 52SPCh. 10 - Prob. 53SPCh. 10 - Prob. 54SPCh. 10 - Prob. 55SPCh. 10 - Prob. 56SPCh. 10 - Prob. 57SPCh. 10 - Prob. 58SPCh. 10 - Prob. 59SPCh. 10 - Prob. 60SPCh. 10 - Prob. 61SPCh. 10 - Prob. 62SPCh. 10 - Prob. 63SPCh. 10 - Prob. 64SPCh. 10 - Prob. 65SPCh. 10 - Prob. 66SPCh. 10 - Prob. 67SPCh. 10 - Prob. 68SPCh. 10 - Prob. 69SPCh. 10 - Prob. 70SPCh. 10 - Prob. 71SPCh. 10 - Prob. 72SPCh. 10 - Prob. 73SPCh. 10 - Prob. 74SPCh. 10 - Prob. 75SPCh. 10 - Prob. 76SPCh. 10 - Prob. 77SPCh. 10 - Prob. 78SPCh. 10 - Prob. 79SPCh. 10 - Prob. 80SPCh. 10 - Prob. 81SPCh. 10 - Prob. 82SPCh. 10 - Prob. 83SPCh. 10 - Prob. 84SPCh. 10 - Prob. 85SPCh. 10 - Prob. 86SPCh. 10 - Prob. 87SPCh. 10 - Prob. 88SPCh. 10 - Prob. 89SPCh. 10 - Prob. 92SPCh. 10 - Prob. 93SPCh. 10 - Prob. 94SPCh. 10 - Prob. 95SPCh. 10 - Prob. 96SPCh. 10 - Prob. 97SPCh. 10 - Prob. 98SPCh. 10 - Prob. 99SPCh. 10 - Prob. 1CRPCh. 10 - Prob. 2CRPCh. 10 - Prob. 3CRPCh. 10 - Prob. 4CRPCh. 10 - Prob. 5CRPCh. 10 - Prob. 6CRPCh. 10 - Prob. 7CRPCh. 10 - Prob. 8CRPCh. 10 - Prob. 9CRPCh. 10 - Prob. 10CRPCh. 10 - Prob. 11CRPCh. 10 - Prob. 12CRPCh. 10 - Prob. 13CRPCh. 10 - Prob. 14CRPCh. 10 - Prob. 15CRPCh. 10 - Prob. 16CRPCh. 10 - Prob. 17CRPCh. 10 - Prob. 18CRPCh. 10 - Prob. 19CRPCh. 10 - Prob. 20CRPCh. 10 - Prob. 21CRPCh. 10 - Prob. 22CRPCh. 10 - Prob. 23CRPCh. 10 - Prob. 24CRPCh. 10 - Prob. 25CRPCh. 10 - Prob. 26CRPCh. 10 - Prob. 27CRPCh. 10 - Prob. 28CRPCh. 10 - Prob. 29CRPCh. 10 - Prob. 30CRPCh. 10 - Prob. 31CRPCh. 10 - Prob. 32CRPCh. 10 - Prob. 33CRPCh. 10 - Prob. 34CRPCh. 10 - Prob. 35CRPCh. 10 - Prob. 36CRPCh. 10 - Prob. 37CRPCh. 10 - Prob. 38CRPCh. 10 - Prob. 39CRPCh. 10 - Prob. 40CRPCh. 10 - Prob. 41CRPCh. 10 - Prob. 42CRPCh. 10 - Prob. 43CRPCh. 10 - Prob. 44CRPCh. 10 - Prob. 45CRPCh. 10 - Prob. 46CRPCh. 10 - Prob. 47CRPCh. 10 - Prob. 48CRPCh. 10 - Prob. 49CRPCh. 10 - Prob. 50CRPCh. 10 - Prob. 51CRPCh. 10 - Prob. 52CRPCh. 10 - Prob. 53CRPCh. 10 - Prob. 54CRPCh. 10 - Prob. 55CRPCh. 10 - Prob. 56CRPCh. 10 - Prob. 57CRPCh. 10 - Prob. 58CRPCh. 10 - Prob. 59CRPCh. 10 - Prob. 60CRP
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- Gear Trains Figure 8 shows a single-stage gear train. Gear trains are used in many products, such as clocks and automotive transmissions, to reduce or increase the angular velocity of a component. The size of each gear is measured by the number of teeth rather than the radius. Suppose the first gear has n1 and the second gear has n2 teeth. Because the spacing of the teeth is the same for both gears, the ratio of their radii will be equivalent to the corresponding ratio of the number of teeth. When two gears are meshed together, they share the same linear velocity. If 1 and 2 are the angular velocities of the first and second gears, respectively, then v2=v1r22=r112=r1r212=n1n21 The first gear in a single-stage gear train has 42 teeth and an angular velocity of 2 revolutions per second. The second gear has 7 teeth. Find the angular velocity of the second gear.arrow_forwardGear Trains Figure 8 shows a single-stage gear train. Gear trains are used in many products, such as clocks and automotive transmissions, to reduce or increase the angular velocity of a component. The size of each gear is measured by the number of teeth rather than the radius. Suppose the first gear has n1 and the second gear has n2 teeth. Because the spacing of the teeth is the same for both gears, the ratio of their radii will be equivalent to the corresponding ratio of the number of teeth. When two gears are meshed together, they share the same linear velocity. If 1 and 2 are the angular velocities of the first and second gears, respectively, then v2=v1r22=r112=r1r212=n1n21 The second gear in a single-stage gear train has 6 teeth and an angular velocity of 90 revolutions per minute. The first gear has 54 teeth. Find the angular velocity of the first gear.arrow_forwardFind radius r. All dimensions are in millimeters.arrow_forward
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