Calculus
7th Edition
ISBN: 9781524916817
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Question
Chapter 5.2, Problem 42PS
To determine
That the area of a rectangle equals the product of its length 
and its width 
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9. a) Determie values of a and b so that the function is continuous.
ax - 2b
f(x)
2
x≤-2
-2x+a, x ≥2
\-ax² - bx + 1, −2 < x < 2)
9b) Consider f(x):
=
2x²+x-3
x-b
and determine all the values of b such that f(x) does
not have a vertical asymptote. Show work.
Chapter 5 Solutions
Calculus
Ch. 5.1 - Prob. 1PSCh. 5.1 - Prob. 2PSCh. 5.1 - Prob. 3PSCh. 5.1 - Prob. 4PSCh. 5.1 - Prob. 5PSCh. 5.1 - Prob. 6PSCh. 5.1 - Prob. 7PSCh. 5.1 - Prob. 8PSCh. 5.1 - Prob. 9PSCh. 5.1 - Prob. 10PS
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Prob. 1PSCh. 5.2 - Prob. 2PSCh. 5.2 - Prob. 3PSCh. 5.2 - Prob. 4PSCh. 5.2 - Prob. 5PSCh. 5.2 - Prob. 6PSCh. 5.2 - Prob. 7PSCh. 5.2 - Prob. 8PSCh. 5.2 - Prob. 9PSCh. 5.2 - Prob. 10PSCh. 5.2 - Prob. 11PSCh. 5.2 - Prob. 12PSCh. 5.2 - Prob. 13PSCh. 5.2 - Prob. 14PSCh. 5.2 - Prob. 15PSCh. 5.2 - Prob. 16PSCh. 5.2 - Prob. 17PSCh. 5.2 - Prob. 18PSCh. 5.2 - Prob. 19PSCh. 5.2 - Prob. 20PSCh. 5.2 - Prob. 21PSCh. 5.2 - Prob. 22PSCh. 5.2 - Prob. 23PSCh. 5.2 - Prob. 24PSCh. 5.2 - Prob. 25PSCh. 5.2 - Prob. 26PSCh. 5.2 - Prob. 27PSCh. 5.2 - Prob. 28PSCh. 5.2 - Prob. 29PSCh. 5.2 - Prob. 30PSCh. 5.2 - Prob. 31PSCh. 5.2 - Prob. 32PSCh. 5.2 - Prob. 33PSCh. 5.2 - Prob. 34PSCh. 5.2 - Prob. 35PSCh. 5.2 - Prob. 36PSCh. 5.2 - Prob. 37PSCh. 5.2 - Prob. 38PSCh. 5.2 - Prob. 39PSCh. 5.2 - Prob. 40PSCh. 5.2 - Prob. 41PSCh. 5.2 - Prob. 42PSCh. 5.2 - Prob. 43PSCh. 5.2 - Prob. 44PSCh. 5.2 - Prob. 45PSCh. 5.2 - Prob. 46PSCh. 5.2 - Prob. 47PSCh. 5.2 - Prob. 48PSCh. 5.2 - Prob. 49PSCh. 5.2 - Prob. 50PSCh. 5.2 - Prob. 51PSCh. 5.2 - 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Prob. 16PSCh. 5.6 - Prob. 17PSCh. 5.6 - Prob. 18PSCh. 5.6 - Prob. 19PSCh. 5.6 - Prob. 20PSCh. 5.6 - Prob. 21PSCh. 5.6 - Prob. 22PSCh. 5.6 - Prob. 23PSCh. 5.6 - Prob. 24PSCh. 5.6 - Prob. 25PSCh. 5.6 - Prob. 26PSCh. 5.6 - Prob. 27PSCh. 5.6 - Prob. 28PSCh. 5.6 - Prob. 29PSCh. 5.6 - Prob. 30PSCh. 5.6 - Prob. 31PSCh. 5.6 - Prob. 32PSCh. 5.6 - Prob. 33PSCh. 5.6 - Prob. 34PSCh. 5.6 - Prob. 35PSCh. 5.6 - Prob. 36PSCh. 5.6 - Prob. 37PSCh. 5.6 - Prob. 38PSCh. 5.6 - Prob. 39PSCh. 5.6 - Prob. 40PSCh. 5.6 - Prob. 41PSCh. 5.6 - Prob. 42PSCh. 5.6 - Prob. 43PSCh. 5.6 - Prob. 44PSCh. 5.6 - Prob. 45PSCh. 5.6 - Prob. 46PSCh. 5.6 - Prob. 47PSCh. 5.6 - Prob. 48PSCh. 5.6 - Prob. 49PSCh. 5.6 - Prob. 50PSCh. 5.6 - Prob. 51PSCh. 5.6 - Prob. 52PSCh. 5.6 - Prob. 53PSCh. 5.6 - Prob. 54PSCh. 5.6 - Prob. 55PSCh. 5.6 - Prob. 56PSCh. 5.6 - Prob. 57PSCh. 5.6 - Prob. 58PSCh. 5.6 - Prob. 59PSCh. 5.6 - Prob. 60PSCh. 5.7 - Prob. 1PSCh. 5.7 - Prob. 2PSCh. 5.7 - Prob. 3PSCh. 5.7 - Prob. 4PSCh. 5.7 - Prob. 5PSCh. 5.7 - Prob. 6PSCh. 5.7 - Prob. 7PSCh. 5.7 - Prob. 8PSCh. 5.7 - Prob. 9PSCh. 5.7 - Prob. 10PSCh. 5.7 - Prob. 11PSCh. 5.7 - Prob. 12PSCh. 5.7 - Prob. 13PSCh. 5.7 - Prob. 14PSCh. 5.7 - Prob. 15PSCh. 5.7 - Prob. 16PSCh. 5.7 - Prob. 17PSCh. 5.7 - Prob. 18PSCh. 5.7 - Prob. 19PSCh. 5.7 - Prob. 20PSCh. 5.7 - Prob. 21PSCh. 5.7 - Prob. 22PSCh. 5.7 - Prob. 23PSCh. 5.7 - Prob. 24PSCh. 5.7 - Prob. 25PSCh. 5.7 - Prob. 26PSCh. 5.7 - Prob. 27PSCh. 5.7 - Prob. 28PSCh. 5.7 - Prob. 29PSCh. 5.7 - Prob. 30PSCh. 5.7 - Prob. 31PSCh. 5.7 - Prob. 32PSCh. 5.7 - Prob. 33PSCh. 5.7 - Prob. 34PSCh. 5.7 - Prob. 35PSCh. 5.7 - Prob. 36PSCh. 5.7 - Prob. 37PSCh. 5.7 - Prob. 38PSCh. 5.7 - Prob. 39PSCh. 5.7 - Prob. 40PSCh. 5.7 - Prob. 41PSCh. 5.7 - Prob. 42PSCh. 5.7 - Prob. 43PSCh. 5.7 - Prob. 44PSCh. 5.7 - Prob. 45PSCh. 5.7 - Prob. 46PSCh. 5.7 - Prob. 47PSCh. 5.7 - Prob. 48PSCh. 5.7 - Prob. 49PSCh. 5.7 - Prob. 50PSCh. 5.7 - Prob. 51PSCh. 5.7 - Prob. 52PSCh. 5.7 - Prob. 53PSCh. 5.7 - Prob. 54PSCh. 5.7 - Prob. 55PSCh. 5.7 - Prob. 56PSCh. 5.7 - Prob. 57PSCh. 5.7 - Prob. 58PSCh. 5.7 - Prob. 59PSCh. 5.7 - Prob. 60PSCh. 5.8 - Prob. 1PSCh. 5.8 - Prob. 2PSCh. 5.8 - Prob. 3PSCh. 5.8 - Prob. 4PSCh. 5.8 - Prob. 5PSCh. 5.8 - Prob. 6PSCh. 5.8 - Prob. 7PSCh. 5.8 - Prob. 8PSCh. 5.8 - Prob. 9PSCh. 5.8 - Prob. 10PSCh. 5.8 - Prob. 11PSCh. 5.8 - Prob. 12PSCh. 5.8 - Prob. 13PSCh. 5.8 - Prob. 14PSCh. 5.8 - Prob. 15PSCh. 5.8 - Prob. 16PSCh. 5.8 - Prob. 17PSCh. 5.8 - Prob. 18PSCh. 5.8 - Prob. 19PSCh. 5.8 - Prob. 20PSCh. 5.8 - Prob. 21PSCh. 5.8 - Prob. 22PSCh. 5.8 - Prob. 23PSCh. 5.8 - Prob. 24PSCh. 5.8 - Prob. 25PSCh. 5.8 - Prob. 26PSCh. 5.8 - Prob. 27PSCh. 5.8 - Prob. 28PSCh. 5.8 - Prob. 29PSCh. 5.8 - Prob. 30PSCh. 5.8 - Prob. 31PSCh. 5.8 - Prob. 32PSCh. 5.8 - Prob. 33PSCh. 5.8 - Prob. 34PSCh. 5.8 - Prob. 35PSCh. 5.8 - Prob. 36PSCh. 5.8 - Prob. 37PSCh. 5.8 - Prob. 38PSCh. 5.8 - Prob. 39PSCh. 5.8 - Prob. 40PSCh. 5.8 - Prob. 41PSCh. 5.8 - Prob. 42PSCh. 5.8 - Prob. 43PSCh. 5.8 - Prob. 44PSCh. 5.8 - Prob. 45PSCh. 5.8 - Prob. 46PSCh. 5.8 - Prob. 47PSCh. 5.8 - Prob. 48PSCh. 5.8 - Prob. 49PSCh. 5.8 - Prob. 50PSCh. 5.8 - Prob. 51PSCh. 5.8 - Prob. 52PSCh. 5.8 - Prob. 53PSCh. 5.8 - Prob. 54PSCh. 5.8 - Prob. 55PSCh. 5.8 - Prob. 56PSCh. 5.8 - Prob. 57PSCh. 5.8 - Prob. 58PSCh. 5.8 - Prob. 59PSCh. 5.8 - Prob. 60PSCh. 5.9 - Prob. 1PSCh. 5.9 - Prob. 2PSCh. 5.9 - Prob. 3PSCh. 5.9 - Prob. 4PSCh. 5.9 - Prob. 5PSCh. 5.9 - Prob. 6PSCh. 5.9 - Prob. 7PSCh. 5.9 - Prob. 8PSCh. 5.9 - Prob. 9PSCh. 5.9 - Prob. 10PSCh. 5.9 - Prob. 11PSCh. 5.9 - Prob. 12PSCh. 5.9 - Prob. 13PSCh. 5.9 - Prob. 14PSCh. 5.9 - Prob. 15PSCh. 5.9 - Prob. 16PSCh. 5.9 - Prob. 17PSCh. 5.9 - Prob. 18PSCh. 5.9 - Prob. 19PSCh. 5.9 - Prob. 20PSCh. 5.9 - Prob. 21PSCh. 5.9 - Prob. 22PSCh. 5.9 - Prob. 23PSCh. 5.9 - Prob. 24PSCh. 5.9 - Prob. 25PSCh. 5.9 - Prob. 26PSCh. 5.9 - Prob. 27PSCh. 5.9 - Prob. 28PSCh. 5.9 - Prob. 29PSCh. 5.9 - Prob. 30PSCh. 5.9 - Prob. 31PSCh. 5.9 - Prob. 32PSCh. 5.9 - Prob. 33PSCh. 5.9 - Prob. 34PSCh. 5.9 - Prob. 35PSCh. 5.9 - Prob. 36PSCh. 5.9 - Prob. 37PSCh. 5.9 - Prob. 38PSCh. 5.9 - Prob. 39PSCh. 5.9 - Prob. 40PSCh. 5.9 - Prob. 41PSCh. 5.9 - Prob. 42PSCh. 5.9 - Prob. 43PSCh. 5.9 - Prob. 44PSCh. 5.9 - Prob. 45PSCh. 5.9 - Prob. 46PSCh. 5.9 - Prob. 47PSCh. 5.9 - Prob. 48PSCh. 5.9 - Prob. 49PSCh. 5.9 - Prob. 50PSCh. 5.9 - Prob. 51PSCh. 5.9 - Prob. 52PSCh. 5.9 - Prob. 53PSCh. 5.9 - Prob. 54PSCh. 5.9 - Prob. 55PSCh. 5.9 - Prob. 56PSCh. 5.9 - Prob. 57PSCh. 5.9 - Prob. 58PSCh. 5.9 - Prob. 59PSCh. 5.9 - Prob. 60PSCh. 5 - Prob. 1PECh. 5 - Prob. 2PECh. 5 - Prob. 3PECh. 5 - Prob. 4PECh. 5 - Prob. 5PECh. 5 - Prob. 6PECh. 5 - Prob. 7PECh. 5 - Prob. 8PECh. 5 - Prob. 9PECh. 5 - Prob. 10PECh. 5 - Prob. 11PECh. 5 - Prob. 12PECh. 5 - Prob. 13PECh. 5 - Prob. 14PECh. 5 - Prob. 15PECh. 5 - Prob. 16PECh. 5 - Prob. 17PECh. 5 - Prob. 18PECh. 5 - Prob. 19PECh. 5 - Prob. 20PECh. 5 - Prob. 21PECh. 5 - Prob. 22PECh. 5 - Prob. 23PECh. 5 - Prob. 24PECh. 5 - Prob. 25PECh. 5 - Prob. 26PECh. 5 - Prob. 27PECh. 5 - Prob. 28PECh. 5 - Prob. 29PECh. 5 - Prob. 30PECh. 5 - Prob. 1SPCh. 5 - Prob. 2SPCh. 5 - Prob. 3SPCh. 5 - Prob. 4SPCh. 5 - Prob. 5SPCh. 5 - Prob. 6SPCh. 5 - Prob. 7SPCh. 5 - Prob. 8SPCh. 5 - Prob. 9SPCh. 5 - Prob. 10SPCh. 5 - Prob. 11SPCh. 5 - Prob. 12SPCh. 5 - Prob. 13SPCh. 5 - Prob. 14SPCh. 5 - Prob. 15SPCh. 5 - Prob. 16SPCh. 5 - Prob. 17SPCh. 5 - Prob. 18SPCh. 5 - Prob. 19SPCh. 5 - Prob. 20SPCh. 5 - Prob. 21SPCh. 5 - Prob. 22SPCh. 5 - Prob. 23SPCh. 5 - Prob. 24SPCh. 5 - Prob. 25SPCh. 5 - Prob. 26SPCh. 5 - Prob. 27SPCh. 5 - Prob. 28SPCh. 5 - Prob. 29SPCh. 5 - Prob. 30SPCh. 5 - Prob. 31SPCh. 5 - Prob. 32SPCh. 5 - Prob. 33SPCh. 5 - Prob. 34SPCh. 5 - Prob. 35SPCh. 5 - Prob. 36SPCh. 5 - Prob. 37SPCh. 5 - Prob. 38SPCh. 5 - Prob. 39SPCh. 5 - Prob. 40SPCh. 5 - Prob. 41SPCh. 5 - Prob. 42SPCh. 5 - Prob. 43SPCh. 5 - Prob. 44SPCh. 5 - Prob. 45SPCh. 5 - Prob. 46SPCh. 5 - Prob. 47SPCh. 5 - Prob. 48SPCh. 5 - Prob. 49SPCh. 5 - Prob. 50SPCh. 5 - Prob. 51SPCh. 5 - Prob. 52SPCh. 5 - Prob. 53SPCh. 5 - Prob. 54SPCh. 5 - Prob. 55SPCh. 5 - Prob. 56SPCh. 5 - Prob. 57SPCh. 5 - Prob. 58SPCh. 5 - Prob. 59SPCh. 5 - Prob. 60SPCh. 5 - Prob. 61SPCh. 5 - Prob. 62SPCh. 5 - Prob. 63SPCh. 5 - Prob. 64SPCh. 5 - Prob. 65SPCh. 5 - Prob. 66SPCh. 5 - Prob. 67SPCh. 5 - Prob. 68SPCh. 5 - Prob. 69SPCh. 5 - Prob. 70SPCh. 5 - Prob. 71SPCh. 5 - Prob. 72SPCh. 5 - Prob. 73SPCh. 5 - Prob. 74SPCh. 5 - Prob. 75SPCh. 5 - Prob. 76SPCh. 5 - Prob. 77SPCh. 5 - Prob. 78SPCh. 5 - Prob. 79SPCh. 5 - Prob. 80SPCh. 5 - Prob. 81SPCh. 5 - Prob. 82SPCh. 5 - Prob. 83SPCh. 5 - Prob. 84SPCh. 5 - Prob. 85SPCh. 5 - Prob. 86SPCh. 5 - Prob. 87SPCh. 5 - Prob. 88SPCh. 5 - Prob. 89SPCh. 5 - Prob. 90SPCh. 5 - Prob. 91SPCh. 5 - Prob. 92SPCh. 5 - Prob. 93SPCh. 5 - Prob. 94SPCh. 5 - Prob. 95SPCh. 5 - Prob. 96SPCh. 5 - Prob. 97SPCh. 5 - Prob. 98SPCh. 5 - Prob. 99SPCh. 5 - Prob. 1CRPCh. 5 - Prob. 2CRPCh. 5 - Prob. 3CRPCh. 5 - Prob. 4CRPCh. 5 - Prob. 5CRPCh. 5 - Prob. 6CRPCh. 5 - Prob. 7CRPCh. 5 - Prob. 8CRPCh. 5 - Prob. 9CRPCh. 5 - Prob. 10CRPCh. 5 - Prob. 11CRPCh. 5 - Prob. 12CRPCh. 5 - Prob. 13CRPCh. 5 - Prob. 14CRPCh. 5 - Prob. 15CRPCh. 5 - Prob. 16CRPCh. 5 - Prob. 17CRPCh. 5 - Prob. 18CRPCh. 5 - Prob. 19CRPCh. 5 - Prob. 20CRPCh. 5 - Prob. 21CRPCh. 5 - Prob. 22CRPCh. 5 - Prob. 23CRPCh. 5 - Prob. 24CRPCh. 5 - Prob. 25CRPCh. 5 - Prob. 26CRPCh. 5 - Prob. 27CRPCh. 5 - Prob. 28CRPCh. 5 - Prob. 29CRPCh. 5 - Prob. 30CRPCh. 5 - Prob. 31CRPCh. 5 - Prob. 32CRPCh. 5 - Prob. 33CRPCh. 5 - Prob. 34CRPCh. 5 - Prob. 35CRPCh. 5 - Prob. 36CRPCh. 5 - Prob. 37CRPCh. 5 - Prob. 38CRPCh. 5 - Prob. 39CRPCh. 5 - Prob. 40CRPCh. 5 - Prob. 41CRPCh. 5 - Prob. 42CRPCh. 5 - Prob. 43CRPCh. 5 - Prob. 44CRPCh. 5 - Prob. 45CRPCh. 5 - Prob. 46CRPCh. 5 - Prob. 47CRPCh. 5 - Prob. 48CRPCh. 5 - Prob. 49CRPCh. 5 - Prob. 50CRPCh. 5 - Prob. 51CRPCh. 5 - Prob. 52CRPCh. 5 - Prob. 53CRPCh. 5 - Prob. 54CRPCh. 5 - Prob. 55CRPCh. 5 - Prob. 56CRPCh. 5 - Prob. 57CRPCh. 5 - Prob. 58CRPCh. 5 - Prob. 59CRPCh. 5 - Prob. 60CRP
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Author:Peterson, John.
Publisher:Cengage Learning,
An Introduction to Area | Teaching Maths | EasyTeaching; Author: EasyTeaching;https://www.youtube.com/watch?v=_uKKl8R1xBM;License: Standard YouTube License, CC-BY
Area of a Rectangle, Triangle, Circle & Sector, Trapezoid, Square, Parallelogram, Rhombus, Geometry; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=JnLDmw3bbuw;License: Standard YouTube License, CC-BY