Problem 3) Given a football in the figure: 1 L=12 in The diameter is measured at some points and given in the table: z (in) 0 1.5 3 4.5 6 7 d (in) 0.0 2.9 4.8 5.8 6.2 6.7 NA a) Express the formula in integral form with respect to d, z, L to estimate the surface area and the volume of the football. b) Using the composite trapezoidal and the composite Simson's methods to find the surface area and the volume of the football.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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Given a football in the figure:

The diameter is measured at some points and given in the table:

z (in)   0  1.5   3  4.5  6    7

d (in) 0.0 2.9 4.8 5.8 6.2 6.7

a) Express the formula in integral form with respect to d, z, L to estimate the surface area and the volume of the football.

b) Using the composite trapezoidal and the composite Simson’s methods to find the surface area and the volume of the football.

Problen 3) Given a football in the figure:
1
d
L=12 in
The diameter is measured at some points and given in the table:
z (in) 0
1.5 3
4.5 6
7
d (in) 0.0 2.9 4.8 5.8 6.2 6.7
a) Express the formula in integral form with respect to d, z, L to estimate the surface area and
the volume of the football.
b) Using the composite trapezoidal and the composite Simson's methods to find the surface
area and the volume of the football.
Transcribed Image Text:Problen 3) Given a football in the figure: 1 d L=12 in The diameter is measured at some points and given in the table: z (in) 0 1.5 3 4.5 6 7 d (in) 0.0 2.9 4.8 5.8 6.2 6.7 a) Express the formula in integral form with respect to d, z, L to estimate the surface area and the volume of the football. b) Using the composite trapezoidal and the composite Simson's methods to find the surface area and the volume of the football.
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