Change from cylindrical coordinates to rectangularcoordinates0 =O None of the othersO y= -3 x, x<0, zERO y= -3 x, x20, zER'x.O y =3 x, x 2 0, zERO y=3 x, xs 0, z€RLet E be the region that lies inside the cylinder x2 + y2 = 64and outside the cylinder (x-4)2+y2 16 and betweenthe planes z = -2 and z 6. Then, the volume of the solidE is equal to6 c2nS° S*S* rdrdodz.8cos (@)-2 0Select one:O TrueO FalseLet E be the solid that lies under the plane z 3x +y andabove the region in the xy-plane enclosed byy =, x= 2, and y 2x. Then, the volume of the solid Eis equal to83Select one:O TrueO False

Since you have asked multiple questions in a single request, we would be answering only the first…

Answered: Change from cylindrical coordinates to…

Change from cylindrical coordinates to rectangular coordinates 0 =- 3 O None of the others O y = -3 x, xs0, zER O y = -3.x, x 20, z ER O y=/3 x, x2 0, zER O y=3 x, xs 0, zER

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.4: Polyhedrons And Spheres

Problem 48E: Sketch the solid that results when the given circle of radius length 1 unit is revolved about the...

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Question

Change from cylindrical coordinates to rectangular
coordinates
0 =
O None of the others
O y= -3 x, x<0, zER
O y= -3 x, x20, zER
'x.
O y =3 x, x 2 0, zER
O y=3 x, xs 0, z€R
Let E be the region that lies inside the cylinder x2 + y2 = 64
and outside the cylinder (x-4)2+y2 16 and between
the planes z = -2 and z 6. Then, the volume of the solid
E is equal to
6 c2n
S° S*S* rdrdodz.
8cos (@)
-2 0
Select one:
O True
O False
Let E be the solid that lies under the plane z 3x +y and
above the region in the xy-plane enclosed by
y =, x= 2, and y 2x. Then, the volume of the solid E
is equal to
8
3
Select one:
O True
O False

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