Answered: Problem 3: Use the slicing method to…

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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Question

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

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