Let R be the region enclosed by the curve y = 2· x + ; and the lines x = 3 and y = 1/2 Let Vị be the volume of the solid obtained by rotating R around the -axis using the washer method. Let V2 be the volume of the solid obtained by rotating R around the y-axis using the washer method. Let V3 be the volume of the solid obtained by rotating R around the y-axis using the shell method. Express V1, V2, V3 as integrals of the form: bị Vi = T f1(x) dx b2 V2 = T f2(y) dy a2 b3 V3 = t f3(x) dx аз What is: aj = bị = II

Calculus: Early Transcendentals
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Author:James Stewart
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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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Let R be the region
enclosed by the curve
y = 2 · x + ; and the lines
х3D 3 and
1/2
Let Vi be the volume of the
solid obtained by rotating R
around the x-axis using the
washer method.
Let V2 be the volume of the
solid obtained by rotating R
around the y-axis using the
washer method.
Let V3 be the volume of the
solid obtained by rotating R
around the y-axis using the
shell method.
Express V1, V2, V3 as
integrals of the form:
bị
Vi
= T
f1(x) dx
b2
V½ = T
f2(y) dy
b3
V3
= T
f3(x) dx
az
What is:
bị
Transcribed Image Text:Let R be the region enclosed by the curve y = 2 · x + ; and the lines х3D 3 and 1/2 Let Vi be the volume of the solid obtained by rotating R around the x-axis using the washer method. Let V2 be the volume of the solid obtained by rotating R around the y-axis using the washer method. Let V3 be the volume of the solid obtained by rotating R around the y-axis using the shell method. Express V1, V2, V3 as integrals of the form: bị Vi = T f1(x) dx b2 V½ = T f2(y) dy b3 V3 = T f3(x) dx az What is: bị
f1(x) =
a2 =
b2 =
f2(y) =
az =
аз
b3
%|
f3(y) =
||
Transcribed Image Text:f1(x) = a2 = b2 = f2(y) = az = аз b3 %| f3(y) = ||
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