Calculus
6th Edition
ISBN: 9781465208880
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 14.1, Problem 43PS
To determine
Whether the equation
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Solve for A.
1 0
2 -1
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A. Solve the following.
BEX
1. 3x + 5 = 35
3. x + 2 =7 +
2. 7x 6 = 15
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6. 2x + 4 = 8
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4. 6x - 3 = 45
5. x - 3 = 6
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7. 9x - 3 = 60
8. x + 5 = 11
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9. 4x - 10 = 30 ne
10. x - 2 = 8
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|11. 6x - 3 = 15 .
12. x - 5 = 1
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13. 7x - 3 = 25s
14. X - 2 = 4
2 -15. 6x + 2 = 14
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8-18. 6x - 4 = 14 -IS
16. 12x + 12 = 156
17. x - 2 = 10
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19. X + 2 = 3
20. 4x + 7 = 95
0= 21. 6x + 3 = 33
38
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B. Extra Practice. Solve the following.
30 34
33
2. 3x + 1 = 16
3. 2y + 4 = 10
1. 5a + 6 = 16
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6. 7x + 5 = 26
33 X- 1
4. 4x + 5 = 17
5. X - 3 = 8
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8. X + 5 = 9
9. 5x + 2 = 17 I + * E
7. 4x - 3 = 17A
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11. 6x + 2 = 44
12. x - 5 = 7
10. 3x - 8 = 1
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14. 14x - 38 = 116
15. 15x + 20 = 95
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13. 8x + 5 = 29
18. 8x + 2 = 26
17. x + 6 = 9
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16. 7z - 22 = 27
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20. 4n + 8 = 36
21. 25x + 14 = 139 -
19. 12n - 11 = 133
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23. 2x + 5 = 9
24. 1x - 5 = 9
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22. 9x + 2 = 65
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26. 3x + 6 = 15
27. 20x - 7 = 73
25. X + 9 = 10
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29.…
We are constructing a box from a rectangular piece of cardboard. The piece of cardboard which measures 20 inches wide and 58 inches long. We will remove a square of size “x” inches from each corner and turn up the edges.
Once we remove the squares of size “x” inches from each corner and turn up the edges, we create a box: Label the dimensions of the newly created box using the variable “x”.
h=h=
w=w=
l=l=
What is the equation that represents the Volume of the box as a function of the cutsize of the box?
V(x)=Vx=
What is the restricted domain of this problem? (That is, what x values "make sense"?)
≤x≤≤x≤
What is the restricted range of this problem? (That is, what V values "make sense"?)
≤V(x)≤≤Vx≤ (round to 1 decimal place)
To maximize the volume of the newly created box, how much should be cut from each corner?
x=x= inches (round to 1 decimal place)
What is the maximum volume the box can hold?
V=V= in3 (round to 1 decimal…
Chapter 14 Solutions
Calculus
Ch. 14.1 - Prob. 1PSCh. 14.1 - Prob. 2PSCh. 14.1 - Prob. 3PSCh. 14.1 - Prob. 4PSCh. 14.1 - Prob. 5PSCh. 14.1 - Prob. 6PSCh. 14.1 - Prob. 7PSCh. 14.1 - Prob. 8PSCh. 14.1 - Prob. 9PSCh. 14.1 - Prob. 10PS
Ch. 14.1 - Prob. 11PSCh. 14.1 - Prob. 12PSCh. 14.1 - Prob. 13PSCh. 14.1 - Prob. 14PSCh. 14.1 - Prob. 15PSCh. 14.1 - Prob. 16PSCh. 14.1 - Prob. 17PSCh. 14.1 - Prob. 18PSCh. 14.1 - Prob. 19PSCh. 14.1 - Prob. 20PSCh. 14.1 - Prob. 21PSCh. 14.1 - Prob. 22PSCh. 14.1 - Prob. 23PSCh. 14.1 - Prob. 24PSCh. 14.1 - Prob. 25PSCh. 14.1 - Prob. 26PSCh. 14.1 - Prob. 27PSCh. 14.1 - Prob. 28PSCh. 14.1 - Prob. 29PSCh. 14.1 - Prob. 30PSCh. 14.1 - Prob. 31PSCh. 14.1 - Prob. 32PSCh. 14.1 - Prob. 33PSCh. 14.1 - Prob. 34PSCh. 14.1 - Prob. 35PSCh. 14.1 - Prob. 36PSCh. 14.1 - Prob. 37PSCh. 14.1 - Prob. 38PSCh. 14.1 - Prob. 39PSCh. 14.1 - Prob. 40PSCh. 14.1 - Prob. 41PSCh. 14.1 - Prob. 42PSCh. 14.1 - Prob. 43PSCh. 14.1 - Prob. 44PSCh. 14.1 - Prob. 45PSCh. 14.1 - Prob. 46PSCh. 14.1 - Prob. 47PSCh. 14.1 - Prob. 48PSCh. 14.1 - Prob. 49PSCh. 14.1 - Prob. 50PSCh. 14.1 - Prob. 51PSCh. 14.1 - Prob. 52PSCh. 14.1 - Prob. 53PSCh. 14.1 - Prob. 54PSCh. 14.1 - Prob. 55PSCh. 14.1 - Prob. 56PSCh. 14.1 - Prob. 57PSCh. 14.1 - Prob. 58PSCh. 14.1 - Prob. 59PSCh. 14.1 - Prob. 60PSCh. 14.2 - Prob. 1PSCh. 14.2 - Prob. 2PSCh. 14.2 - Prob. 3PSCh. 14.2 - Prob. 4PSCh. 14.2 - Prob. 5PSCh. 14.2 - Prob. 6PSCh. 14.2 - Prob. 7PSCh. 14.2 - Prob. 8PSCh. 14.2 - Prob. 9PSCh. 14.2 - Prob. 10PSCh. 14.2 - Prob. 11PSCh. 14.2 - Prob. 12PSCh. 14.2 - Prob. 13PSCh. 14.2 - Prob. 14PSCh. 14.2 - Prob. 15PSCh. 14.2 - Prob. 16PSCh. 14.2 - Prob. 17PSCh. 14.2 - Prob. 18PSCh. 14.2 - Prob. 19PSCh. 14.2 - Prob. 20PSCh. 14.2 - Prob. 21PSCh. 14.2 - Prob. 22PSCh. 14.2 - Prob. 23PSCh. 14.2 - Prob. 24PSCh. 14.2 - Prob. 25PSCh. 14.2 - Prob. 26PSCh. 14.2 - Prob. 27PSCh. 14.2 - Prob. 28PSCh. 14.2 - Prob. 29PSCh. 14.2 - Prob. 30PSCh. 14.2 - Prob. 31PSCh. 14.2 - Prob. 32PSCh. 14.2 - Prob. 33PSCh. 14.2 - Prob. 34PSCh. 14.2 - Prob. 35PSCh. 14.2 - Prob. 36PSCh. 14.2 - Prob. 37PSCh. 14.2 - Prob. 38PSCh. 14.2 - Prob. 39PSCh. 14.2 - Prob. 40PSCh. 14.2 - Prob. 41PSCh. 14.2 - Prob. 42PSCh. 14.2 - Prob. 43PSCh. 14.2 - Prob. 44PSCh. 14.2 - Prob. 45PSCh. 14.2 - Prob. 46PSCh. 14.2 - Prob. 47PSCh. 14.2 - Prob. 48PSCh. 14.2 - Prob. 49PSCh. 14.2 - Prob. 50PSCh. 14.2 - Prob. 51PSCh. 14.2 - Prob. 52PSCh. 14.2 - Prob. 53PSCh. 14.2 - Prob. 54PSCh. 14.2 - Prob. 55PSCh. 14.2 - Prob. 56PSCh. 14.2 - Prob. 57PSCh. 14.2 - Prob. 58PSCh. 14.2 - Prob. 59PSCh. 14.2 - Prob. 60PSCh. 14.3 - Prob. 1PSCh. 14.3 - Prob. 2PSCh. 14.3 - Prob. 3PSCh. 14.3 - Prob. 4PSCh. 14.3 - Prob. 5PSCh. 14.3 - Prob. 6PSCh. 14.3 - Prob. 7PSCh. 14.3 - Prob. 8PSCh. 14.3 - Prob. 9PSCh. 14.3 - Prob. 10PSCh. 14.3 - Prob. 11PSCh. 14.3 - Prob. 12PSCh. 14.3 - Prob. 13PSCh. 14.3 - Prob. 14PSCh. 14.3 - Prob. 15PSCh. 14.3 - Prob. 16PSCh. 14.3 - Prob. 17PSCh. 14.3 - Prob. 18PSCh. 14.3 - Prob. 19PSCh. 14.3 - Prob. 20PSCh. 14.3 - Prob. 21PSCh. 14.3 - Prob. 22PSCh. 14.3 - Prob. 23PSCh. 14.3 - Prob. 24PSCh. 14.3 - Prob. 25PSCh. 14.3 - Prob. 26PSCh. 14.3 - Prob. 27PSCh. 14.3 - Prob. 28PSCh. 14.3 - Prob. 29PSCh. 14.3 - Prob. 30PSCh. 14.3 - Prob. 31PSCh. 14.3 - Prob. 32PSCh. 14.3 - Prob. 33PSCh. 14.3 - Prob. 34PSCh. 14.3 - Prob. 35PSCh. 14.3 - Prob. 36PSCh. 14.3 - Prob. 37PSCh. 14.3 - Prob. 38PSCh. 14.3 - Prob. 39PSCh. 14.3 - Prob. 40PSCh. 14.3 - Prob. 41PSCh. 14.3 - Prob. 42PSCh. 14.3 - Prob. 43PSCh. 14.3 - Prob. 44PSCh. 14.3 - Prob. 45PSCh. 14.3 - Prob. 46PSCh. 14.3 - Prob. 47PSCh. 14.3 - Prob. 48PSCh. 14.3 - Prob. 49PSCh. 14.3 - Prob. 50PSCh. 14.3 - Prob. 51PSCh. 14.3 - Prob. 52PSCh. 14.3 - Prob. 53PSCh. 14.3 - Prob. 54PSCh. 14.3 - Prob. 55PSCh. 14.3 - Prob. 56PSCh. 14.3 - Prob. 57PSCh. 14.3 - Prob. 58PSCh. 14.3 - Prob. 59PSCh. 14.3 - Prob. 60PSCh. 14 - Prob. 1PECh. 14 - Prob. 2PECh. 14 - Prob. 3PECh. 14 - Prob. 4PECh. 14 - Prob. 5PECh. 14 - Prob. 6PECh. 14 - Prob. 7PECh. 14 - Prob. 8PECh. 14 - Prob. 9PECh. 14 - Prob. 10PECh. 14 - Prob. 11PECh. 14 - Prob. 12PECh. 14 - Prob. 13PECh. 14 - Prob. 14PECh. 14 - Prob. 15PECh. 14 - Prob. 16PECh. 14 - Prob. 17PECh. 14 - Prob. 18PECh. 14 - Prob. 19PECh. 14 - Prob. 20PECh. 14 - Prob. 1SPCh. 14 - Prob. 2SPCh. 14 - Prob. 3SPCh. 14 - Prob. 4SPCh. 14 - Prob. 5SPCh. 14 - Prob. 6SPCh. 14 - Prob. 7SPCh. 14 - Prob. 8SPCh. 14 - Prob. 9SPCh. 14 - Prob. 10SPCh. 14 - Prob. 11SPCh. 14 - Prob. 12SPCh. 14 - Prob. 13SPCh. 14 - Prob. 14SPCh. 14 - Prob. 15SPCh. 14 - Prob. 16SPCh. 14 - Prob. 17SPCh. 14 - Prob. 18SPCh. 14 - Prob. 19SPCh. 14 - Prob. 20SPCh. 14 - Prob. 21SPCh. 14 - Prob. 22SPCh. 14 - Prob. 23SPCh. 14 - Prob. 24SPCh. 14 - Prob. 25SPCh. 14 - Prob. 26SPCh. 14 - Prob. 27SPCh. 14 - Prob. 28SPCh. 14 - Prob. 29SPCh. 14 - Prob. 30SPCh. 14 - Prob. 31SPCh. 14 - Prob. 32SPCh. 14 - Prob. 33SPCh. 14 - Prob. 34SPCh. 14 - Prob. 35SPCh. 14 - Prob. 36SPCh. 14 - Prob. 37SPCh. 14 - Prob. 38SPCh. 14 - Prob. 39SPCh. 14 - Prob. 40SPCh. 14 - Prob. 41SPCh. 14 - Prob. 42SPCh. 14 - Prob. 43SPCh. 14 - Prob. 44SPCh. 14 - Prob. 45SPCh. 14 - Prob. 46SPCh. 14 - Prob. 47SPCh. 14 - Prob. 48SPCh. 14 - Prob. 49SPCh. 14 - Prob. 50SPCh. 14 - Prob. 51SPCh. 14 - Prob. 52SPCh. 14 - Prob. 53SPCh. 14 - Prob. 54SPCh. 14 - Prob. 55SPCh. 14 - Prob. 56SPCh. 14 - Prob. 57SPCh. 14 - Prob. 58SPCh. 14 - Prob. 59SPCh. 14 - Prob. 60SP
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