We create a solid of revolution by revolving R about the line y = 12. Set up an expression with integrals that calculates the volume of the solid using the washer methoe (f) We create a solid of revolution by revolving R about the line x = -2. Set up an expression with integrals that calculates the volume of the solid using the washer method.
We create a solid of revolution by revolving R about the line y = 12. Set up an expression with integrals that calculates the volume of the solid using the washer methoe (f) We create a solid of revolution by revolving R about the line x = -2. Set up an expression with integrals that calculates the volume of the solid using the washer method.
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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Q3 (e) and (f) only please. Thanks!
Transcribed Image Text:3. Let R be the region bounded by the lines ax = 0, y= 3x and y = 10- x.
(a) Sketch the region R. Label the curves, their intersection points and lightly shade the
region.
(b) Calculate the area of the region using (i) an x-integral and (ii) a y-integral.
(c) The base of a solid is R, and the cross-sections perpendicular to the x-axis are isosce-
les right triangles with height on the base. Set-up an expression with integrals that
calculates the volume of the solid.
(d) The base of a solid is R, and the cross-sections perpendicular to the y-axis are semicircles
with diameter in the base. Set-up an expression with integrals that calculates the volume
of the solid.
=
(e) We create a solid of revolution by revolving R about the line y 12. Set up an expression
with integrals that calculates the volume of the solid using the washer method
(f) We create a solid of revolution by revolving R about the line x = -2. Set up an
expression with integrals that calculates the volume of the solid using the washer method.
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Step 1: Define the problem
VIEWStep 2: Draw the region R
VIEWStep 3: Draw the figure of solid when region R rotated about line y=12
VIEWStep 4: Calculate the set up of the integral for volume
VIEWStep 5: Draw the graph of solid when region R rotated about line x=-2
VIEWStep 6: Calculate the set up of the integral for volume
VIEWStep 7: Continuation above step
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