(a) Calculate the following column heading: k, ndx ,Lx ,Tx and ex
Optimization
Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.
Integration
Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.
Application of Integration
In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.
Volume
In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).
Area
Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.
From a cross-sectional life table provided, answer the question below:
![From a cross-sectional life table provided, answer the question below:
Age group
Death Population Death rate
nQx
Ix
ndx Lx Tx ex
0-4
24
14524
1.65
0.0082
1000
5-9
1
17816
0.06
0.0003
10-14
3
24172
0.12
0.0006
15-19
15
20848
0.72
0.0036
20-24
20
10884
1.84
0.0091
25-29
11
7212
1.53
0.0076
30-34
11
9136
1.20
0.006
35-39
8.
12868
0.62
0.0031
40-44
20
14132
1.42
0.007
45-49
22
10128
2.17
0.0107
50-54
30
6784
4.42
0.0216
55-59
37
5740
6.45
0.0312
60-64
57
4048
14.08
0.0658
65-69
65
2772
23.45
0.1049
70-74
107
2100
50.95
0.1985
75-79
74
1136
65.14
0.2457
80-84
69
440
156.82
0.4395
85-89
41
168
244.05
0.5496
90+
13
44
295.45
1
(a) Calculate the following column heading: Ik, ndx ,Lx ,Tx and ex](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2495c8ce-1b72-4c53-9cd8-1ff1825205a6%2Fc94d08e4-b5ac-483c-9538-f8d1918f431b%2Fpuo1fnd_processed.jpeg&w=3840&q=75)
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