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.
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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
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
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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