Calculus
7th Edition
ISBN: 9781524916817
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 1.3, Problem 12PS
To determine
The equation of line in standard form.
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In Problems 7 & 8, Find an equation in point-slope form, y-y1=m(x-x1), of the line through the given points.
7. (2,7) and (4, -5)
8. (3, 20) and (-5,4)
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The properties in Problem 83 provide us with another way to write the equation of a line parallel or perpendicular to a given line that contains a given point not on the line. For example, suppose that we want the equation of the line perpendicular to 3x + 4y = 6 that contains the point (1, 2). The form 4x - 3y = k, where k is a constant, represents a family of lines perpendicular to 3x + 4y = 6 because we have satisfied the condition AA' = -BB'. Therefore, to find what specific line of the family contains (1, 2), we substitute 1 for x and 2 for y to determine k.4x - 3y = k4(1) - 3(2) = k-2 = k Thus the equation of the desired line is 4x - 3y = -2. Use the properties from Problem 83 to help write the equation of each of the following lines.(a) Contains (1, 8) and is parallel to 2x + 3y = 6(b) Contains (-1, 4) and is parallel to x - 2y = 4(c) Contains (2, -7) and is perpendicular to 3x - 5y = 10(d) Contains (-1, -4) and is perpendicular to 2x + 5y = 12
4. Suppose for a company manufacturing flash drives, the cost and revenue equations are given by C= 6,000 + 3x and R = 20x − 0.002x , where the production output in 1 week is x flash drives.
a. Find the profit function. b. Find the marginal profit function c. If production is increasing at a rate of 500 flash drives per week when production is 2,000 flash drives, find the rate of increase in profit .
Chapter 1 Solutions
Calculus
Ch. 1.1 - Prob. 1PSCh. 1.1 - Prob. 2PSCh. 1.1 - Prob. 3PSCh. 1.1 - Prob. 4PSCh. 1.1 - Prob. 5PSCh. 1.1 - Prob. 6PSCh. 1.1 - Prob. 7PSCh. 1.1 - Prob. 8PSCh. 1.1 - Prob. 9PSCh. 1.1 - Prob. 10PS
Ch. 1.1 - Prob. 11PSCh. 1.1 - Prob. 12PSCh. 1.1 - Prob. 13PSCh. 1.1 - Prob. 14PSCh. 1.1 - Prob. 15PSCh. 1.1 - Prob. 16PSCh. 1.1 - Prob. 17PSCh. 1.1 - Prob. 18PSCh. 1.1 - Prob. 19PSCh. 1.1 - Prob. 20PSCh. 1.1 - Prob. 21PSCh. 1.1 - Prob. 22PSCh. 1.1 - Prob. 23PSCh. 1.1 - Prob. 24PSCh. 1.1 - Prob. 25PSCh. 1.1 - Prob. 26PSCh. 1.1 - Prob. 27PSCh. 1.1 - Prob. 28PSCh. 1.1 - Prob. 29PSCh. 1.1 - Prob. 30PSCh. 1.1 - Prob. 31PSCh. 1.1 - Prob. 32PSCh. 1.1 - Prob. 33PSCh. 1.1 - Prob. 34PSCh. 1.1 - Prob. 35PSCh. 1.1 - Prob. 36PSCh. 1.1 - Prob. 37PSCh. 1.1 - Prob. 38PSCh. 1.1 - Prob. 39PSCh. 1.1 - Prob. 40PSCh. 1.1 - Prob. 41PSCh. 1.1 - Prob. 42PSCh. 1.1 - Prob. 43PSCh. 1.1 - Prob. 44PSCh. 1.1 - Prob. 45PSCh. 1.1 - Prob. 46PSCh. 1.1 - Prob. 47PSCh. 1.1 - Prob. 48PSCh. 1.1 - Prob. 49PSCh. 1.1 - Prob. 50PSCh. 1.1 - Prob. 51PSCh. 1.1 - Prob. 52PSCh. 1.1 - Prob. 53PSCh. 1.1 - Prob. 54PSCh. 1.1 - Prob. 55PSCh. 1.1 - Prob. 56PSCh. 1.1 - Prob. 58PSCh. 1.1 - Prob. 59PSCh. 1.1 - Prob. 60PSCh. 1.2 - Prob. 1PSCh. 1.2 - Prob. 2PSCh. 1.2 - Prob. 3PSCh. 1.2 - Prob. 4PSCh. 1.2 - Prob. 5PSCh. 1.2 - Prob. 6PSCh. 1.2 - Prob. 7PSCh. 1.2 - Prob. 8PSCh. 1.2 - Prob. 9PSCh. 1.2 - Prob. 10PSCh. 1.2 - Prob. 11PSCh. 1.2 - Prob. 12PSCh. 1.2 - Prob. 13PSCh. 1.2 - Prob. 14PSCh. 1.2 - Prob. 15PSCh. 1.2 - Prob. 16PSCh. 1.2 - Prob. 17PSCh. 1.2 - Prob. 18PSCh. 1.2 - Prob. 19PSCh. 1.2 - Prob. 20PSCh. 1.2 - Prob. 21PSCh. 1.2 - Prob. 22PSCh. 1.2 - Prob. 23PSCh. 1.2 - Prob. 24PSCh. 1.2 - Prob. 25PSCh. 1.2 - Prob. 26PSCh. 1.2 - Prob. 27PSCh. 1.2 - Prob. 28PSCh. 1.2 - Prob. 29PSCh. 1.2 - Prob. 30PSCh. 1.2 - Prob. 31PSCh. 1.2 - Prob. 32PSCh. 1.2 - Prob. 33PSCh. 1.2 - Prob. 34PSCh. 1.2 - Prob. 35PSCh. 1.2 - Prob. 36PSCh. 1.2 - Prob. 37PSCh. 1.2 - Prob. 38PSCh. 1.2 - Prob. 39PSCh. 1.2 - Prob. 40PSCh. 1.2 - Prob. 41PSCh. 1.2 - Prob. 42PSCh. 1.2 - Prob. 43PSCh. 1.2 - Prob. 44PSCh. 1.2 - Prob. 45PSCh. 1.2 - Prob. 46PSCh. 1.2 - Prob. 47PSCh. 1.2 - Prob. 48PSCh. 1.2 - Prob. 49PSCh. 1.2 - Prob. 50PSCh. 1.2 - Prob. 51PSCh. 1.2 - Prob. 52PSCh. 1.2 - Prob. 53PSCh. 1.2 - Prob. 54PSCh. 1.2 - Prob. 55PSCh. 1.2 - Prob. 56PSCh. 1.2 - Prob. 57PSCh. 1.2 - Prob. 58PSCh. 1.2 - Prob. 59PSCh. 1.2 - Prob. 60PSCh. 1.3 - Prob. 1PSCh. 1.3 - Prob. 2PSCh. 1.3 - Prob. 3PSCh. 1.3 - Prob. 4PSCh. 1.3 - Prob. 5PSCh. 1.3 - Prob. 6PSCh. 1.3 - Prob. 7PSCh. 1.3 - Prob. 8PSCh. 1.3 - Prob. 9PSCh. 1.3 - Prob. 10PSCh. 1.3 - Prob. 11PSCh. 1.3 - Prob. 12PSCh. 1.3 - Prob. 13PSCh. 1.3 - Prob. 14PSCh. 1.3 - Prob. 15PSCh. 1.3 - Prob. 16PSCh. 1.3 - Prob. 17PSCh. 1.3 - Prob. 18PSCh. 1.3 - Prob. 19PSCh. 1.3 - Prob. 20PSCh. 1.3 - Prob. 21PSCh. 1.3 - Prob. 22PSCh. 1.3 - Prob. 23PSCh. 1.3 - Prob. 24PSCh. 1.3 - Prob. 25PSCh. 1.3 - Prob. 26PSCh. 1.3 - Prob. 27PSCh. 1.3 - Prob. 28PSCh. 1.3 - Prob. 29PSCh. 1.3 - Prob. 30PSCh. 1.3 - Prob. 31PSCh. 1.3 - Prob. 32PSCh. 1.3 - Prob. 33PSCh. 1.3 - Prob. 34PSCh. 1.3 - Prob. 35PSCh. 1.3 - Prob. 36PSCh. 1.3 - Prob. 37PSCh. 1.3 - Prob. 38PSCh. 1.3 - Prob. 39PSCh. 1.3 - Prob. 40PSCh. 1.3 - Prob. 41PSCh. 1.3 - Prob. 42PSCh. 1.3 - Prob. 43PSCh. 1.3 - Prob. 44PSCh. 1.3 - Prob. 45PSCh. 1.3 - Prob. 46PSCh. 1.3 - Prob. 47PSCh. 1.3 - Prob. 48PSCh. 1.3 - Prob. 49PSCh. 1.3 - Prob. 50PSCh. 1.3 - Prob. 51PSCh. 1.3 - Prob. 52PSCh. 1.3 - Prob. 53PSCh. 1.3 - Prob. 54PSCh. 1.3 - Prob. 55PSCh. 1.3 - Prob. 56PSCh. 1.3 - Prob. 57PSCh. 1.3 - Prob. 58PSCh. 1.3 - Prob. 59PSCh. 1.3 - Prob. 60PSCh. 1.4 - Prob. 1PSCh. 1.4 - Prob. 2PSCh. 1.4 - Prob. 3PSCh. 1.4 - Prob. 4PSCh. 1.4 - Prob. 5PSCh. 1.4 - Prob. 6PSCh. 1.4 - Prob. 7PSCh. 1.4 - Prob. 8PSCh. 1.4 - Prob. 9PSCh. 1.4 - Prob. 10PSCh. 1.4 - Prob. 11PSCh. 1.4 - Prob. 12PSCh. 1.4 - Prob. 13PSCh. 1.4 - Prob. 14PSCh. 1.4 - Prob. 15PSCh. 1.4 - Prob. 16PSCh. 1.4 - Prob. 17PSCh. 1.4 - Prob. 18PSCh. 1.4 - Prob. 19PSCh. 1.4 - Prob. 20PSCh. 1.4 - Prob. 21PSCh. 1.4 - Prob. 22PSCh. 1.4 - Prob. 23PSCh. 1.4 - Prob. 24PSCh. 1.4 - Prob. 25PSCh. 1.4 - Prob. 26PSCh. 1.4 - Prob. 27PSCh. 1.4 - Prob. 28PSCh. 1.4 - Prob. 29PSCh. 1.4 - Prob. 30PSCh. 1.4 - Prob. 31PSCh. 1.4 - Prob. 32PSCh. 1.4 - Prob. 33PSCh. 1.4 - Prob. 34PSCh. 1.4 - Prob. 35PSCh. 1.4 - Prob. 36PSCh. 1.4 - Prob. 37PSCh. 1.4 - Prob. 38PSCh. 1.4 - Prob. 39PSCh. 1.4 - Prob. 40PSCh. 1.4 - Prob. 41PSCh. 1.4 - Prob. 42PSCh. 1.4 - Prob. 43PSCh. 1.4 - Prob. 44PSCh. 1.4 - Prob. 45PSCh. 1.4 - Prob. 46PSCh. 1.4 - Prob. 47PSCh. 1.4 - Prob. 48PSCh. 1.4 - Prob. 49PSCh. 1.4 - Prob. 50PSCh. 1.4 - Prob. 51PSCh. 1.4 - Prob. 52PSCh. 1.4 - Prob. 53PSCh. 1.4 - Prob. 54PSCh. 1.4 - Prob. 55PSCh. 1.4 - Prob. 56PSCh. 1.4 - Prob. 57PSCh. 1.4 - Prob. 58PSCh. 1.4 - Prob. 59PSCh. 1.4 - Prob. 60PSCh. 1.5 - Prob. 1PSCh. 1.5 - Prob. 2PSCh. 1.5 - Prob. 3PSCh. 1.5 - Prob. 4PSCh. 1.5 - Prob. 5PSCh. 1.5 - Prob. 6PSCh. 1.5 - Prob. 7PSCh. 1.5 - Prob. 8PSCh. 1.5 - Prob. 9PSCh. 1.5 - Prob. 10PSCh. 1.5 - Prob. 11PSCh. 1.5 - Prob. 12PSCh. 1.5 - Prob. 13PSCh. 1.5 - Prob. 14PSCh. 1.5 - Prob. 15PSCh. 1.5 - Prob. 16PSCh. 1.5 - Prob. 17PSCh. 1.5 - Prob. 18PSCh. 1.5 - Prob. 19PSCh. 1.5 - Prob. 20PSCh. 1.5 - Prob. 21PSCh. 1.5 - Prob. 22PSCh. 1.5 - Prob. 23PSCh. 1.5 - Prob. 24PSCh. 1.5 - Prob. 25PSCh. 1.5 - Prob. 26PSCh. 1.5 - Prob. 27PSCh. 1.5 - Prob. 28PSCh. 1.5 - Prob. 29PSCh. 1.5 - Prob. 30PSCh. 1.5 - Prob. 31PSCh. 1.5 - Prob. 32PSCh. 1.5 - Prob. 33PSCh. 1.5 - Prob. 34PSCh. 1.5 - Prob. 35PSCh. 1.5 - Prob. 36PSCh. 1.5 - Prob. 37PSCh. 1.5 - Prob. 38PSCh. 1.5 - Prob. 39PSCh. 1.5 - Prob. 40PSCh. 1.5 - Prob. 41PSCh. 1.5 - Prob. 42PSCh. 1.5 - Prob. 43PSCh. 1.5 - Prob. 44PSCh. 1.5 - Prob. 45PSCh. 1.5 - Prob. 46PSCh. 1.5 - Prob. 47PSCh. 1.5 - Prob. 48PSCh. 1.5 - Prob. 49PSCh. 1.5 - Prob. 50PSCh. 1.5 - Prob. 51PSCh. 1.5 - Prob. 52PSCh. 1.5 - Prob. 53PSCh. 1.5 - Prob. 54PSCh. 1.5 - Prob. 55PSCh. 1.5 - Prob. 56PSCh. 1.5 - Prob. 57PSCh. 1.5 - Prob. 58PSCh. 1.5 - Prob. 59PSCh. 1.5 - Prob. 60PSCh. 1 - Prob. 1PECh. 1 - Prob. 2PECh. 1 - Prob. 3PECh. 1 - Prob. 4PECh. 1 - Prob. 5PECh. 1 - Prob. 6PECh. 1 - Prob. 7PECh. 1 - Prob. 8PECh. 1 - Prob. 9PECh. 1 - Prob. 10PECh. 1 - Prob. 11PECh. 1 - Prob. 12PECh. 1 - Prob. 13PECh. 1 - Prob. 14PECh. 1 - Prob. 15PECh. 1 - Prob. 16PECh. 1 - Prob. 17PECh. 1 - Prob. 18PECh. 1 - Prob. 19PECh. 1 - Prob. 20PECh. 1 - Prob. 21PECh. 1 - Prob. 22PECh. 1 - Prob. 23PECh. 1 - Prob. 24PECh. 1 - Prob. 25PECh. 1 - Prob. 26PECh. 1 - Prob. 27PECh. 1 - Prob. 28PECh. 1 - Prob. 29PECh. 1 - Prob. 30PECh. 1 - Prob. 1SPCh. 1 - Prob. 2SPCh. 1 - Prob. 3SPCh. 1 - Prob. 4SPCh. 1 - Prob. 5SPCh. 1 - Prob. 6SPCh. 1 - Prob. 7SPCh. 1 - Prob. 8SPCh. 1 - Prob. 9SPCh. 1 - Prob. 10SPCh. 1 - Prob. 11SPCh. 1 - Prob. 12SPCh. 1 - Prob. 13SPCh. 1 - Prob. 14SPCh. 1 - Prob. 15SPCh. 1 - Prob. 16SPCh. 1 - Prob. 17SPCh. 1 - Prob. 18SPCh. 1 - Prob. 19SPCh. 1 - Prob. 20SPCh. 1 - Prob. 21SPCh. 1 - Prob. 22SPCh. 1 - Prob. 23SPCh. 1 - Prob. 24SPCh. 1 - Prob. 25SPCh. 1 - Prob. 26SPCh. 1 - Prob. 27SPCh. 1 - Prob. 28SPCh. 1 - Prob. 29SPCh. 1 - Prob. 30SPCh. 1 - Prob. 31SPCh. 1 - Prob. 32SPCh. 1 - Prob. 33SPCh. 1 - Prob. 34SPCh. 1 - Prob. 35SPCh. 1 - Prob. 36SPCh. 1 - Prob. 37SPCh. 1 - Prob. 38SPCh. 1 - Prob. 39SPCh. 1 - Prob. 40SPCh. 1 - Prob. 41SPCh. 1 - Prob. 42SPCh. 1 - Prob. 43SPCh. 1 - Prob. 44SPCh. 1 - Prob. 45SPCh. 1 - Prob. 46SPCh. 1 - Prob. 47SPCh. 1 - Prob. 48SPCh. 1 - Prob. 49SPCh. 1 - Prob. 50SPCh. 1 - Prob. 51SPCh. 1 - Prob. 52SPCh. 1 - Prob. 53SPCh. 1 - Prob. 54SPCh. 1 - Prob. 55SPCh. 1 - Prob. 56SPCh. 1 - Prob. 57SPCh. 1 - Prob. 58SPCh. 1 - Prob. 59SPCh. 1 - Prob. 60SPCh. 1 - Prob. 61SPCh. 1 - Prob. 62SPCh. 1 - Prob. 63SPCh. 1 - Prob. 64SPCh. 1 - Prob. 65SPCh. 1 - Prob. 66SPCh. 1 - Prob. 67SPCh. 1 - Prob. 68SPCh. 1 - Prob. 69SPCh. 1 - Prob. 70SPCh. 1 - Prob. 71SPCh. 1 - Prob. 72SPCh. 1 - Prob. 73SPCh. 1 - Prob. 74SPCh. 1 - Prob. 75SPCh. 1 - Prob. 76SPCh. 1 - Prob. 77SPCh. 1 - Prob. 78SPCh. 1 - Prob. 79SPCh. 1 - Prob. 80SPCh. 1 - Prob. 81SPCh. 1 - Prob. 82SPCh. 1 - Prob. 83SPCh. 1 - Prob. 84SPCh. 1 - Prob. 85SPCh. 1 - Prob. 86SPCh. 1 - Prob. 93SPCh. 1 - Prob. 95SPCh. 1 - Prob. 96SPCh. 1 - Prob. 97SPCh. 1 - Prob. 98SPCh. 1 - Prob. 99SP
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