8. The frame of the dome in the diagram below must be covered in canvas. The dome is shaped by rotating y = 10 - about the x axes from x = 0m till x= 1.5 m. You must determine an approximate value for the surface area SA (m²) of this container using the formula SA = 2x y VT+ (y')² dx where y' =dy_Use the Simpson %3D formula with N = 6 intervals to determine yVī+(y')² dx and use this to calculate SA. re 04. 02 10 -10

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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8. The frame of the dome in the diagram below must be covered in canvas. The dome is shaped by rotating
y = 10 – x about the x axes from x = 0 m till x = 1.5 m. You must determine an approximate value for the surface
area SA (m²) of this container using the formula SA = 2= L° y VT+ (y')² dx where y' =dy_Use the Simpson
%3D
formula with N = 6 intervals to determine yVī+(y')² dx and use this to calculate SA.
re
04.
02
10
-10
Transcribed Image Text:8. The frame of the dome in the diagram below must be covered in canvas. The dome is shaped by rotating y = 10 – x about the x axes from x = 0 m till x = 1.5 m. You must determine an approximate value for the surface area SA (m²) of this container using the formula SA = 2= L° y VT+ (y')² dx where y' =dy_Use the Simpson %3D formula with N = 6 intervals to determine yVī+(y')² dx and use this to calculate SA. re 04. 02 10 -10
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