Male life expectancy. The life expectancy for males born during 1980 - 1985 was approximately 70.7 years. This grew to 71.1 years during 1985 - 1990 and to 71.8 years during 1990 - 1995 . Construct a model for this data by finding a quadratic equation whose graph passes through the points 0 , 70.7 , 5 , 71.1 and 10 , 71.8 . Use this model to estimate the life expectancy far males born between 1995 and 000 and for those born between 2000 and 2005 .
Male life expectancy. The life expectancy for males born during 1980 - 1985 was approximately 70.7 years. This grew to 71.1 years during 1985 - 1990 and to 71.8 years during 1990 - 1995 . Construct a model for this data by finding a quadratic equation whose graph passes through the points 0 , 70.7 , 5 , 71.1 and 10 , 71.8 . Use this model to estimate the life expectancy far males born between 1995 and 000 and for those born between 2000 and 2005 .
Solution Summary: The author calculates the model for the data of life expectancy for males by finding the quadratic equation that passes through the points (0,70.7).
Male life expectancy. The life expectancy for males born during
1980
-
1985
was approximately
70.7
years. This grew to
71.1
years during
1985
-
1990
and to
71.8
years during
1990
-
1995
. Construct a model for this data by finding a quadratic equation whose graph passes through the points
0
,
70.7
,
5
,
71.1
and
10
,
71.8
. Use this model to estimate the life expectancy far males born between
1995
and
000
and for those born between
2000
and
2005
.
Formula Formula A polynomial with degree 2 is called a quadratic polynomial. A quadratic equation can be simplified to the standard form: ax² + bx + c = 0 Where, a ≠ 0. A, b, c are coefficients. c is also called "constant". 'x' is the unknown quantity
Q/show that 2" +4 has a removable discontinuity at Z=2i
Z(≥2-21)
Refer to page 100 for problems on graph theory and linear algebra.
Instructions:
•
Analyze the adjacency matrix of a given graph to find its eigenvalues and eigenvectors.
• Interpret the eigenvalues in the context of graph properties like connectivity or clustering.
Discuss applications of spectral graph theory in network analysis.
Link: [https://drive.google.com/file/d/1wKSrun-GlxirS3IZ9qoHazb9tC440 AZF/view?usp=sharing]
Refer to page 110 for problems on optimization.
Instructions:
Given a loss function, analyze its critical points to identify minima and maxima.
• Discuss the role of gradient descent in finding the optimal solution.
.
Compare convex and non-convex functions and their implications for optimization.
Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qo Hazb9tC440 AZF/view?usp=sharing]
Elementary Statistics: Picturing the World (7th Edition)
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