Problem 3: Use the slicing method to find the volume of the solid of revolution bounded by the graphs of f(x) = x2 - 2x + 3, x = 0, and x = 3, and rotated about the x- %3D аxis.
Problem 3: Use the slicing method to find the volume of the solid of revolution bounded by the graphs of f(x) = x2 - 2x + 3, x = 0, and x = 3, and rotated about the x- %3D аxis.
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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could you explain to me how we got the part I circled in red ! My teacher is bad at explaining, he just puts stuff on the board
![Problem 3: Use the slicing method to find the volume of
the solid of revolution bounded by the graphs of
f(x) = x2 - 2x + 3, x = 0, and x = 3, and rotated about the x-
axis.
Solution:
fex)=x²-2x+3 - (x-)°+2
%3D
Using the disk method
have
we
3
2
= IT
= TS,(****+9 (?+ 6x²-12x) dx
= TT. J. (x*+4x²+9
(4x*+ 6x-12x)d>
=TS(x*-4x*+Iox²-12x+ 9) dx
= TT -x*+ X
6x*+ 9x]°
how
= TT ( - * + la - 6*3°+ 9×3)
xplein
we got
this
= Tr( -४|+१० -S++27)
243
=(153TL](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7ef8bcde-87e1-4580-810f-713041a51a59%2Faeb05eda-e59b-4562-ada6-2fd8118e9435%2Fvyi4m7h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 3: Use the slicing method to find the volume of
the solid of revolution bounded by the graphs of
f(x) = x2 - 2x + 3, x = 0, and x = 3, and rotated about the x-
axis.
Solution:
fex)=x²-2x+3 - (x-)°+2
%3D
Using the disk method
have
we
3
2
= IT
= TS,(****+9 (?+ 6x²-12x) dx
= TT. J. (x*+4x²+9
(4x*+ 6x-12x)d>
=TS(x*-4x*+Iox²-12x+ 9) dx
= TT -x*+ X
6x*+ 9x]°
how
= TT ( - * + la - 6*3°+ 9×3)
xplein
we got
this
= Tr( -४|+१० -S++27)
243
=(153TL
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