If
f x x ( ) 4 2
, then
f x( 1) =
a.
2
4 6 2 x x .
b....
Mathematics, 11.02.2021 01:30 rorymartin04
If
f x x ( ) 4 2
, then
f x( 1) =
a.
2
4 6 2 x x .
b.
2
4 2 2 x x .
c.
4 2 x .
d.
4 6 x .
e.
4 1 x .
Answers: 1
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For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius and height 2r minus the volume of two cones, each with a radius and height of r. a cross section of the sphere is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is the volume of the cylinder with radius r and height 2r is and the volume of each cone with radius r and height r is 1/3 pie r^3. so the volume of the cylinder minus the two cones is therefore, the volume of the cylinder is 4/3pie r^3 by cavalieri's principle. (fill in options are: r/2- r- 2r- an annulus- a circle -1/3pier^3- 2/3pier^3- 4/3pier^3- 5/3pier^3- 2pier^3- 4pier^3)
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