Find the moment of inertia about the x-axis of a thin plate bounded by the parabola x = 7y-3y² and the line x + 2y = 0 if 8(x,y)=x+2y. Choose the correct sketch of the plate described above. OA. AY Q Select the order of integration that will make the computations easier and fill in the limits of integration in your choice. TIK O A. 3 ☐☐ OB. F(x,y) dx dy OB. F(x,y) dy dx O. C. O D. Use the given density function & to write the appropriate integrand F(x,y) for finding the moment of inertia. Then substitute into the correct integral from the previous step and evaluate to find the moment of inertia for the plate. The moment of inertia is (Simplify your answer.) Q

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
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Find the moment of inertia about the x axis of a thin plate bounded by the parabola

Find the moment of inertia about the x-axis of a thin plate bounded by the parabola x = 7y - 3y² and the line x + 2y = 0 if 8(x,y) = x + 2y.
Choose the correct sketch of the plate described above.
O A.
Q
O A. SS F(x,y) dy dx
O B.
OB. F(x,y) dx dy
Q
Select the order of integration that will make the computations easier and fill in the limits of integration in your choice.
G
O C.
O D.
Use the given density function 8 to write the appropriate integrand F(x,y) for finding the moment of inertia. Then substitute into the correct integral from the previous step and evaluate to find the moment of inertia for the plate.
The moment of inertia is
(Simplify your answer.)
Q
Q
✔
Transcribed Image Text:Find the moment of inertia about the x-axis of a thin plate bounded by the parabola x = 7y - 3y² and the line x + 2y = 0 if 8(x,y) = x + 2y. Choose the correct sketch of the plate described above. O A. Q O A. SS F(x,y) dy dx O B. OB. F(x,y) dx dy Q Select the order of integration that will make the computations easier and fill in the limits of integration in your choice. G O C. O D. Use the given density function 8 to write the appropriate integrand F(x,y) for finding the moment of inertia. Then substitute into the correct integral from the previous step and evaluate to find the moment of inertia for the plate. The moment of inertia is (Simplify your answer.) Q Q ✔
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