Glencoe Math Accelerated, Student Edition
1st Edition
ISBN: 9780076637980
Author: McGraw-Hill Glencoe
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 12.4, Problem 21IP
(a)
To determine
To complete: The table.
(a)
Expert Solution
Answer to Problem 21IP
The complete table is given below.
Explanation of Solution
Given information:
Consider the given table.
| Name | Triangular
Pyramid | Square
Pyramid | Pentagonal
Pyramid |
| Vertices | 4 | 5 | |
| Faces | 6 | ||
| Edges | 8 |
Calculation:
A triangular pyramid is a three-dimensional closed shape that 4 vertices, 4 faces, and 6 edges.
A square pyramid is a three-dimensional closed shape that 5 vertices, 5 faces, and 8 edges.
A pentagonal pyramid is a three-dimensional closed shape that 6 vertices, 6 faces, and 10 edges.
Complete the table.
| Name | Triangular Pyramid | Square Pyramid | Pentagonal Pyramid |
| Shape |  |  |  |
| Vertices | 4 | 5 | 6 |
| Faces | 4 | 5 | 6 |
| Edges | 6 | 8 | 10 |
Conclusion:
Therefore, the complete table is shown above.
(b)
To determine
To analyze: The relation between the vertices, faces, and edges.
(b)
Expert Solution
Answer to Problem 21IP
The number of vertices and number of faces in each shape is similar. Moving from left to right, the edges of each shape is increased by 2 and the vertices are increased by 1.
Explanation of Solution
Given information:
Consider the given table.
| Name | Triangular Pyramid | Square Pyramid | Pentagonal Pyramid |
| Shape |  |  |  |
| Vertices | 4 | 5 | 6 |
| Faces | 4 | 5 | 6 |
| Edges | 6 | 8 | 10 |
Calculation:
From part (a), the number of vertices and number of faces in each shape is similar. Moving from left to right, the edges of each shape is increased by 2 and the vertices are increased by 1.
Conclusion:
Therefore, the number of vertices and number of faces in each shape is similar. Moving from left to right, the edges of each shape is increased by 2 and the vertices are increased by 1.
(c)
To determine
To write: An equation that compares the number of vertices and the number of faces to number of edges.
(c)
Expert Solution
Answer to Problem 21IP
The required equation is
Explanation of Solution
Given information:
Consider the given table.
| Name | Triangular Pyramid | Square Pyramid | Pentagonal Pyramid |
| Shape |  |  |  |
| Vertices | 4 | 5 | 6 |
| Faces | 4 | 5 | 6 |
| Edges | 6 | 8 | 10 |
Calculation:
From part (a), the number of vertices and number of faces in each shape is similar. Moving from left to right, the edges of each shape is increased by 2 and the vertices are increased by 1.
Let the number of vertices is
Conclusion:
Therefore, the required equation is
Chapter 12 Solutions
Glencoe Math Accelerated, Student Edition
Ch. 12.1 - Prob. 1GPCh. 12.1 - Prob. 2GPCh. 12.1 - Prob. 3GPCh. 12.1 - Prob. 4GPCh. 12.1 - Prob. 5GPCh. 12.1 - Prob. 6GPCh. 12.1 - Prob. 7IPCh. 12.1 - Prob. 8IPCh. 12.1 - Prob. 9IPCh. 12.1 - Prob. 10IP
Ch. 12.1 - Prob. 11IPCh. 12.1 - Prob. 12IPCh. 12.1 - Prob. 13IPCh. 12.1 - Prob. 14IPCh. 12.1 - Prob. 15IPCh. 12.1 - Prob. 16IPCh. 12.1 - Prob. 17IPCh. 12.1 - Prob. 18IPCh. 12.1 - Prob. 19IPCh. 12.1 - Prob. 20IPCh. 12.1 - Prob. 21IPCh. 12.1 - Prob. 22IPCh. 12.1 - Prob. 23IPCh. 12.1 - Prob. 24IPCh. 12.1 - Prob. 25HPCh. 12.1 - Prob. 26HPCh. 12.1 - Prob. 27HPCh. 12.1 - Prob. 28HPCh. 12.1 - Prob. 29HPCh. 12.1 - Prob. 30STPCh. 12.1 - Prob. 31STPCh. 12.1 - Prob. 32STPCh. 12.1 - Prob. 33STPCh. 12.1 - Prob. 34CCRCh. 12.1 - Prob. 35CCRCh. 12.1 - Prob. 36CCRCh. 12.1 - Prob. 37CCRCh. 12.1 - Prob. 38CCRCh. 12.1 - Prob. 39CCRCh. 12.1 - Prob. 40CCRCh. 12.1 - Prob. 41CCRCh. 12.1 - Prob. 42CCRCh. 12.1 - Prob. 43CCRCh. 12.1 - Prob. 44CCRCh. 12.1 - Prob. 45CCRCh. 12.1 - Prob. 46CCRCh. 12.1 - Prob. 47CCRCh. 12.1 - Prob. 48CCRCh. 12.2 - Prob. 1GPCh. 12.2 - Prob. 2GPCh. 12.2 - Prob. 3GPCh. 12.2 - Prob. 4GPCh. 12.2 - Prob. 5GPCh. 12.2 - Prob. 6GPCh. 12.2 - Prob. 7GPCh. 12.2 - Prob. 8IPCh. 12.2 - Prob. 9IPCh. 12.2 - Prob. 10IPCh. 12.2 - Prob. 11IPCh. 12.2 - Prob. 12IPCh. 12.2 - Prob. 13IPCh. 12.2 - Prob. 14IPCh. 12.2 - Prob. 15IPCh. 12.2 - Prob. 16IPCh. 12.2 - Prob. 17IPCh. 12.2 - Prob. 18IPCh. 12.2 - Prob. 19IPCh. 12.2 - Prob. 20IPCh. 12.2 - Prob. 21IPCh. 12.2 - Prob. 22IPCh. 12.2 - Prob. 23IPCh. 12.2 - Prob. 24IPCh. 12.2 - Prob. 25IPCh. 12.2 - Prob. 26IPCh. 12.2 - Prob. 27IPCh. 12.2 - Prob. 28IPCh. 12.2 - Prob. 29HPCh. 12.2 - Prob. 30HPCh. 12.2 - Prob. 31HPCh. 12.2 - Prob. 32HPCh. 12.2 - Prob. 33HPCh. 12.2 - Prob. 34STPCh. 12.2 - Prob. 35STPCh. 12.2 - Prob. 36STPCh. 12.2 - Prob. 37STPCh. 12.2 - Prob. 38CCRCh. 12.2 - Prob. 39CCRCh. 12.2 - Prob. 40CCRCh. 12.2 - Prob. 41CCRCh. 12.2 - Prob. 42CCRCh. 12.2 - Prob. 43CCRCh. 12.2 - Prob. 44CCRCh. 12.2 - Prob. 45CCRCh. 12.2 - Prob. 46CCRCh. 12.2 - Prob. 47CCRCh. 12.2 - Prob. 48CCRCh. 12.2 - Prob. 49CCRCh. 12.2 - Prob. 50CCRCh. 12.2 - Prob. 51CCRCh. 12.3 - Prob. 1GPCh. 12.3 - Prob. 2GPCh. 12.3 - Prob. 3GPCh. 12.3 - Prob. 4GPCh. 12.3 - Prob. 5GPCh. 12.3 - Prob. 6IPCh. 12.3 - Prob. 7IPCh. 12.3 - Prob. 8IPCh. 12.3 - Prob. 9IPCh. 12.3 - Prob. 10IPCh. 12.3 - Prob. 11IPCh. 12.3 - Prob. 12IPCh. 12.3 - Prob. 13IPCh. 12.3 - Prob. 14IPCh. 12.3 - Prob. 15IPCh. 12.3 - Prob. 16IPCh. 12.3 - Prob. 17IPCh. 12.3 - Prob. 18IPCh. 12.3 - Prob. 19IPCh. 12.3 - Prob. 20IPCh. 12.3 - Prob. 21IPCh. 12.3 - Prob. 22IPCh. 12.3 - Prob. 23HPCh. 12.3 - Prob. 24HPCh. 12.3 - Prob. 25HPCh. 12.3 - Prob. 26HPCh. 12.3 - Prob. 27STPCh. 12.3 - Prob. 28STPCh. 12.3 - Prob. 29STPCh. 12.3 - Prob. 30STPCh. 12.3 - Prob. 31CCRCh. 12.3 - Prob. 32CCRCh. 12.3 - Prob. 33CCRCh. 12.3 - Prob. 34CCRCh. 12.3 - Prob. 35CCRCh. 12.3 - Prob. 36CCRCh. 12.3 - Prob. 37CCRCh. 12.3 - Prob. 38CCRCh. 12.3 - Prob. 39CCRCh. 12.3 - Prob. 40CCRCh. 12.3 - Prob. 41CCRCh. 12.4 - Prob. 1GPCh. 12.4 - Prob. 2GPCh. 12.4 - Prob. 3GPCh. 12.4 - Prob. 4GPCh. 12.4 - Prob. 5GPCh. 12.4 - Prob. 6GPCh. 12.4 - Prob. 7IPCh. 12.4 - Prob. 8IPCh. 12.4 - Prob. 9IPCh. 12.4 - Prob. 10IPCh. 12.4 - Prob. 11IPCh. 12.4 - Prob. 12IPCh. 12.4 - Prob. 13IPCh. 12.4 - Prob. 14IPCh. 12.4 - Prob. 15IPCh. 12.4 - Prob. 16IPCh. 12.4 - Prob. 17IPCh. 12.4 - Prob. 18IPCh. 12.4 - Prob. 19IPCh. 12.4 - Prob. 20IPCh. 12.4 - Prob. 21IPCh. 12.4 - Prob. 22HPCh. 12.4 - Prob. 23HPCh. 12.4 - Prob. 24HPCh. 12.4 - Prob. 25HPCh. 12.4 - Prob. 26HPCh. 12.4 - Prob. 27HPCh. 12.4 - Prob. 28HPCh. 12.4 - Prob. 29STPCh. 12.4 - Prob. 30STPCh. 12.4 - Prob. 31STPCh. 12.4 - Prob. 32STPCh. 12.4 - Prob. 33CCRCh. 12.4 - Prob. 34CCRCh. 12.4 - Prob. 35CCRCh. 12.4 - Prob. 36CCRCh. 12.4 - Prob. 37CCRCh. 12.4 - Prob. 38CCRCh. 12.4 - Prob. 39CCRCh. 12.4 - Prob. 40CCRCh. 12.4 - Prob. 41CCRCh. 12.4 - Prob. 42CCRCh. 12.4 - Prob. 43CCRCh. 12.5 - Prob. 1GPCh. 12.5 - Prob. 2GPCh. 12.5 - Prob. 3GPCh. 12.5 - Prob. 4GPCh. 12.5 - Prob. 5GPCh. 12.5 - Prob. 6IPCh. 12.5 - Prob. 7IPCh. 12.5 - Prob. 8IPCh. 12.5 - Prob. 9IPCh. 12.5 - Prob. 10IPCh. 12.5 - Prob. 11IPCh. 12.5 - Prob. 12IPCh. 12.5 - Prob. 13IPCh. 12.5 - Prob. 14IPCh. 12.5 - Prob. 15IPCh. 12.5 - Prob. 16IPCh. 12.5 - Prob. 17IPCh. 12.5 - Prob. 18IPCh. 12.5 - Prob. 19IPCh. 12.5 - Prob. 20IPCh. 12.5 - Prob. 21IPCh. 12.5 - Prob. 22IPCh. 12.5 - Prob. 23IPCh. 12.5 - Prob. 24IPCh. 12.5 - Prob. 25IPCh. 12.5 - Prob. 26IPCh. 12.5 - Prob. 27IPCh. 12.5 - Prob. 28HPCh. 12.5 - Prob. 29HPCh. 12.5 - Prob. 30HPCh. 12.5 - Prob. 31HPCh. 12.5 - Prob. 32HPCh. 12.5 - Prob. 33HPCh. 12.5 - Prob. 34STPCh. 12.5 - Prob. 35STPCh. 12.5 - Prob. 36STPCh. 12.5 - Prob. 37STPCh. 12.5 - Prob. 38CCRCh. 12.5 - Prob. 39CCRCh. 12.5 - Prob. 40CCRCh. 12.5 - Prob. 41CCRCh. 12.5 - Prob. 42CCRCh. 12.5 - Prob. 43CCRCh. 12.5 - Prob. 44CCRCh. 12.5 - Prob. 45CCRCh. 12.5 - Prob. 46CCRCh. 12.5 - Prob. 47CCRCh. 12.5 - Prob. 48CCRCh. 12.5 - Prob. 49CCRCh. 12.5 - Prob. 50CCRCh. 12.5 - Prob. 51CCRCh. 12.6 - Prob. 1GPCh. 12.6 - Prob. 2GPCh. 12.6 - Prob. 3GPCh. 12.6 - Prob. 4GPCh. 12.6 - Prob. 5GPCh. 12.6 - Prob. 6IPCh. 12.6 - Prob. 7IPCh. 12.6 - Prob. 8IPCh. 12.6 - Prob. 9IPCh. 12.6 - Prob. 10IPCh. 12.6 - Prob. 11IPCh. 12.6 - Prob. 12IPCh. 12.6 - Prob. 13IPCh. 12.6 - Prob. 14IPCh. 12.6 - Prob. 15IPCh. 12.6 - Prob. 16IPCh. 12.6 - Prob. 17IPCh. 12.6 - Prob. 18IPCh. 12.6 - Prob. 19IPCh. 12.6 - Prob. 20IPCh. 12.6 - Prob. 21IPCh. 12.6 - Prob. 22IPCh. 12.6 - Prob. 23HPCh. 12.6 - Prob. 24HPCh. 12.6 - Prob. 25HPCh. 12.6 - Prob. 26HPCh. 12.6 - Prob. 27STPCh. 12.6 - Prob. 28STPCh. 12.6 - Prob. 29STPCh. 12.6 - Prob. 30STPCh. 12.6 - Prob. 31CCRCh. 12.6 - Prob. 32CCRCh. 12.6 - Prob. 33CCRCh. 12.6 - Prob. 34CCRCh. 12.6 - Prob. 35CCRCh. 12.6 - Prob. 36CCRCh. 12.6 - Prob. 37CCRCh. 12.6 - Prob. 38CCRCh. 12.6 - Prob. 39CCRCh. 12.6 - Prob. 40CCRCh. 12.6 - Prob. 41CCRCh. 12.6 - Prob. 42CCRCh. 12.6 - Prob. 43CCRCh. 12.6 - Prob. 44CCRCh. 12.6 - Prob. 45CCRCh. 12.6 - Prob. 46CCRCh. 12.6 - Prob. 47CCRCh. 12.7 - Prob. 1GPCh. 12.7 - Prob. 2GPCh. 12.7 - Prob. 3GPCh. 12.7 - Prob. 4GPCh. 12.7 - Prob. 5GPCh. 12.7 - Prob. 6IPCh. 12.7 - Prob. 7IPCh. 12.7 - Prob. 8IPCh. 12.7 - Prob. 9IPCh. 12.7 - Prob. 10IPCh. 12.7 - Prob. 11IPCh. 12.7 - Prob. 12IPCh. 12.7 - Prob. 13IPCh. 12.7 - Prob. 14IPCh. 12.7 - Prob. 15IPCh. 12.7 - Prob. 16IPCh. 12.7 - Prob. 17IPCh. 12.7 - Prob. 18IPCh. 12.7 - Prob. 19IPCh. 12.7 - Prob. 20IPCh. 12.7 - Prob. 21IPCh. 12.7 - Prob. 22IPCh. 12.7 - Prob. 23IPCh. 12.7 - Prob. 24IPCh. 12.7 - Prob. 25IPCh. 12.7 - Prob. 26HPCh. 12.7 - Prob. 27HPCh. 12.7 - Prob. 28HPCh. 12.7 - Prob. 29HPCh. 12.7 - Prob. 30HPCh. 12.7 - Prob. 31HPCh. 12.7 - Prob. 32STPCh. 12.7 - Prob. 33STPCh. 12.7 - Prob. 34STPCh. 12.7 - Prob. 35STPCh. 12.7 - Prob. 36CCRCh. 12.7 - Prob. 37CCRCh. 12.7 - Prob. 38CCRCh. 12.7 - Prob. 39CCRCh. 12.7 - Prob. 40CCRCh. 12.7 - Prob. 41CCRCh. 12.7 - Prob. 42CCRCh. 12.7 - Prob. 43CCRCh. 12.7 - Prob. 44CCRCh. 12.7 - Prob. 45CCRCh. 12.8 - Prob. 1GPCh. 12.8 - Prob. 2GPCh. 12.8 - Prob. 3GPCh. 12.8 - Prob. 4GPCh. 12.8 - Prob. 5IPCh. 12.8 - Prob. 6IPCh. 12.8 - Prob. 7IPCh. 12.8 - Prob. 8IPCh. 12.8 - Prob. 9IPCh. 12.8 - Prob. 10IPCh. 12.8 - Prob. 11IPCh. 12.8 - Prob. 12IPCh. 12.8 - Prob. 13IPCh. 12.8 - Prob. 14IPCh. 12.8 - Prob. 15IPCh. 12.8 - Prob. 16IPCh. 12.8 - Prob. 17IPCh. 12.8 - Prob. 18HPCh. 12.8 - Prob. 19HPCh. 12.8 - Prob. 20HPCh. 12.8 - Prob. 21HPCh. 12.8 - Prob. 22HPCh. 12.8 - Prob. 23STPCh. 12.8 - Prob. 24STPCh. 12.8 - Prob. 25STPCh. 12.8 - Prob. 26STPCh. 12.8 - Prob. 27CCRCh. 12.8 - Prob. 28CCRCh. 12.8 - Prob. 29CCRCh. 12.8 - Prob. 30CCRCh. 12.8 - Prob. 31CCRCh. 12.8 - Prob. 32CCRCh. 12.8 - Prob. 33CCRCh. 12.8 - Prob. 34CCRCh. 12.8 - Prob. 35CCRCh. 12.8 - Prob. 36CCRCh. 12.8 - Prob. 37CCRCh. 12.8 - Prob. 38CCRCh. 12.8 - Prob. 39CCRCh. 12.8 - Prob. 40CCRCh. 12.9 - Prob. 1GPCh. 12.9 - Prob. 2GPCh. 12.9 - Prob. 3GPCh. 12.9 - Prob. 4GPCh. 12.9 - Prob. 5IPCh. 12.9 - Prob. 6IPCh. 12.9 - Prob. 7IPCh. 12.9 - Prob. 8IPCh. 12.9 - Prob. 9IPCh. 12.9 - Prob. 10IPCh. 12.9 - Prob. 11IPCh. 12.9 - Prob. 12IPCh. 12.9 - Prob. 13IPCh. 12.9 - Prob. 14IPCh. 12.9 - Prob. 15IPCh. 12.9 - Prob. 16IPCh. 12.9 - Prob. 17IPCh. 12.9 - Prob. 18IPCh. 12.9 - Prob. 19HPCh. 12.9 - Prob. 20HPCh. 12.9 - Prob. 21HPCh. 12.9 - Prob. 22STPCh. 12.9 - Prob. 23STPCh. 12.9 - Prob. 24STPCh. 12.9 - Prob. 25STPCh. 12.9 - Prob. 26CCRCh. 12.9 - Prob. 27CCRCh. 12.9 - Prob. 28CCRCh. 12.9 - Prob. 29CCRCh. 12.9 - Prob. 30CCRCh. 12.9 - Prob. 31CCRCh. 12.9 - Prob. 32CCRCh. 12.9 - Prob. 33CCRCh. 12.9 - Prob. 34CCRCh. 12.9 - Prob. 35CCRCh. 12.9 - Prob. 36CCRCh. 12.9 - Prob. 37CCRCh. 12.9 - Prob. 38CCRCh. 12.9 - Prob. 39CCRCh. 12.9 - Prob. 40CCRCh. 12.9 - Prob. 41CCRCh. 12.9 - Prob. 42CCRCh. 12.9 - Prob. 43CCRCh. 12.9 - Prob. 44CCRCh. 12.10 - Prob. 1GPCh. 12.10 - Prob. 2GPCh. 12.10 - Prob. 3GPCh. 12.10 - Prob. 4GPCh. 12.10 - Prob. 5IPCh. 12.10 - Prob. 6IPCh. 12.10 - Prob. 7IPCh. 12.10 - Prob. 8IPCh. 12.10 - Prob. 9IPCh. 12.10 - Prob. 10IPCh. 12.10 - Prob. 11IPCh. 12.10 - Prob. 12IPCh. 12.10 - Prob. 13IPCh. 12.10 - Prob. 14IPCh. 12.10 - Prob. 15IPCh. 12.10 - Prob. 16IPCh. 12.10 - Prob. 17IPCh. 12.10 - Prob. 18IPCh. 12.10 - Prob. 19IPCh. 12.10 - Prob. 20IPCh. 12.10 - Prob. 21IPCh. 12.10 - Prob. 22IPCh. 12.10 - Prob. 23HPCh. 12.10 - Prob. 24HPCh. 12.10 - Prob. 25HPCh. 12.10 - Prob. 26HPCh. 12.10 - Prob. 27STPCh. 12.10 - Prob. 28STPCh. 12.10 - Prob. 29STPCh. 12.10 - Prob. 30STPCh. 12.10 - Prob. 31CCRCh. 12.10 - Prob. 32CCRCh. 12.10 - Prob. 33CCRCh. 12.10 - Prob. 34CCRCh. 12.10 - Prob. 35CCRCh. 12.10 - Prob. 36CCRCh. 12.10 - Prob. 37CCRCh. 12.10 - Prob. 38CCRCh. 12.10 - Prob. 39CCRCh. 12.10 - Prob. 40CCRCh. 12.10 - Prob. 41CCRCh. 12.10 - Prob. 42CCRCh. 12.10 - Prob. 43CCRCh. 12.10 - Prob. 44CCRCh. 12 - Prob. 1CRCh. 12 - Prob. 2CRCh. 12 - Prob. 3CRCh. 12 - Prob. 4CRCh. 12 - Prob. 5CRCh. 12 - Prob. 6CRCh. 12 - Prob. 7CRCh. 12 - Prob. 8CRCh. 12 - Prob. 9CRCh. 12 - Prob. 10CRCh. 12 - Prob. 11CRCh. 12 - Prob. 12CRCh. 12 - Prob. 13CRCh. 12 - Prob. 14CRCh. 12 - Prob. 15CRCh. 12 - Prob. 16CRCh. 12 - Prob. 17CRCh. 12 - Prob. 18CRCh. 12 - Prob. 19CRCh. 12 - Prob. 20CRCh. 12 - Prob. 21CRCh. 12 - Prob. 22CRCh. 12 - Prob. 23CRCh. 12 - Prob. 24CRCh. 12 - Prob. 25CRCh. 12 - Prob. 26CRCh. 12 - Prob. 27CRCh. 12 - Prob. 28CRCh. 12 - Prob. 29CRCh. 12 - Prob. 30CRCh. 12 - Prob. 31CRCh. 12 - Prob. 32CRCh. 12 - Prob. 33CRCh. 12 - Prob. 34CRCh. 12 - Prob. 35CRCh. 12 - Prob. 36CRCh. 12 - Prob. 37CRCh. 12 - Prob. 38CR
Additional Math Textbook Solutions
Find more solutions based on key concepts
Two dice are thrown. Let E be the event that the sum of the dice is odd, let F be the event that at least one o...
A First Course in Probability (10th Edition)
TRY IT YOURSELF 1
Find the mean of the points scored by the 51 winning teams listed on page 39.
Elementary Statistics: Picturing the World (7th Edition)
Implicit differentiation Carry out the following steps. a. Use implicit differentiation to find dydx. b. Find t...
Calculus: Early Transcendentals (2nd Edition)
Identify f as being linear, quadratic, or neither. If f is quadratic, identify the leading coefficient a and ...
College Algebra with Modeling & Visualization (5th Edition)
Assessment 1-1A The following is a magic square all rows, columns, and diagonals sum to the same number. Find t...
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Continuous Uniform Distribution. In Exercises 5–8, refer to the continuous uniform distribution depicted in Fig...
Elementary Statistics (13th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Similar questions
- Math Test 3 3 x³+y³ = Ꭹ = 9 2 2 x²+y² = 5 x+y=?arrow_forwardFor each of the following series, determine whether the absolute convergence series test determines absolute convergence or fails. For the ¿th series, if the test is inconclusive then let Mi = 4, while if the test determines absolute convergence let Mi 1 : 2: ∞ Σ(−1)"+¹ sin(2n); n=1 Σ n=1 Σ ((−1)”. COS n² 3+2n4 3: (+ 4: 5 : n=1 ∞ n 2+5n3 ПП n² 2 5+2n3 пп n² Σ(+)+ n=1 ∞ n=1 COS 4 2 3+8n3 П ηπ n- (−1)+1 sin (+727) 5 + 2m³ 4 = 8. Then the value of cos(M₁) + cos(2M2) + cos(3M3) + sin(2M) + sin(M5) is -0.027 -0.621 -1.794 -1.132 -1.498 -4.355 -2.000 2.716arrow_forwardi need help with this question i tried by myself and so i am uploadding the question to be quided with step by step solution and please do not use chat gpt i am trying to learn thank you.arrow_forward
- i need help with this question i tried by myself and so i am uploadding the question to be quided with step by step solution and please do not use chat gpt i am trying to learn thank you.arrow_forward1. 3 2 fx=14x²-15x²-9x- 2arrow_forwardNo it is not a graded assignment, its a review question but i only have the final answer not the working or explanationarrow_forward
- Class, the class silues, and the class notes, whether the series does alternate and the absolute values of the terms decrease), and if the test does apply, determine whether the series converges or diverges. For the ith series, if the test does not apply the let Mi = 2, while if the test determines divergence then M¿ = 4, and if it determines convergence then M¿ = 8. 1: 2: 3 : 4: 5 : ∞ n=1 ∞ (−1)n+1. Σ(-1) +1 n=1 ∞ п 3m² +2 Σ(-1)+1 sin(2n). n=1 ∞ 2n² + 2n +3 4n2 +6 1 e-n + n² 3n23n+1 9n² +3 In(n + 1) 2n+1 Σ(-1) +1 n=1 ∞ Σ(-1)". n=1 Then the value of cos(M₁) + cos(2M2) + cos(3M3) + sin(2M4) + sin(M5) is 1.715 0.902 0.930 -1.647 -0.057 ● 2.013 1.141 4.274arrow_forward3. FCX14) = x²+3xx-y3 +.arrow_forwardA cylindrical chemical storage tank with a capacity of 950m3 is going to be constructed in a warehouse that is 11m by 14m with a height of 10m. The specifications call for the case to be made of sheet metal that costs $90/m2, the top to be made from sheet metal that costs $45/m2 and the wall to be made of sheet metal that costs $80/m2. If you want to minimize the cost to make the storage house, how much would you end up spending to build the tank?arrow_forward
- Calculate the max value of the directional derivatearrow_forwardCalculus III May I please have the example, definition semicolons, and all blanks completed and solved? Thank you so much,arrow_forwardA company estimates that the revenue (in dollars) from the sale of x doghouses is given by R(x) = 12,000 In (0.02x+1). Use the differential to approximate the change in revenue from the sale of one more doghouse if 80 doghouses have already been sold. The revenue will increase by $ if one more doghouse is made. (Round to the nearest cent as needed.)arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage Learning
Thomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSON
Calculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. Freeman
Calculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning
Calculus: Early Transcendentals
Calculus
ISBN:9781285741550
Author:James Stewart
Publisher:Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:9780134438986
Author:Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:9780134763644
Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:9781319050740
Author:Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:9781337552516
Author:Ron Larson, Bruce H. Edwards
Publisher:Cengage Learning
Polynomials with Trigonometric Solutions (2 of 3: Substitute & solve); Author: Eddie Woo;https://www.youtube.com/watch?v=EnfhYp4o20w;License: Standard YouTube License, CC-BY
Quick Revision of Polynomials | Tricks to Solve Polynomials in Algebra | Maths Tricks | Letstute; Author: Let'stute;https://www.youtube.com/watch?v=YmDnGcol-gs;License: Standard YouTube License, CC-BY
Introduction to Polynomials; Author: Professor Dave Explains;https://www.youtube.com/watch?v=nPPNgin7W7Y;License: Standard Youtube License