First let's move change the coordinate system so that the rotation axis becomes y
then f(x)=`16x becomes f(x)=16(x-2)=16x-32, y=0 stays as it is but x=1 becomes x=3
then we apply the formula for cyl shells method:
V=integral 2 to 3 (2pi*x*f(x))dx = int 2-3 (2pi*x*16x-2pi*x*32)dx=
int 2-3 32pi*x^2 dx - int 2-3 64pi*x dx = 2-3| 32pi*x^3/3 - 32pi*x^2 =
32pi*27/3 - 32pi*9 - 32pi*8/3+ 32pi*4 = 32pi*(9-9-8/3+4) = 32pi*4/3 = 128pi/3
Step-by-step explanation:
- 3x-12>-6
- 3x-12+12>-6+12
- 3x>6
- x<6/3
- x<2
not imp u say this is triangle rect from the pythagore theorie then u say in a tr rec the angles other than the 90 degree one is 45 degrees
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Answer:
6:00 am
Heeeeyyyyyy, so i had the same problem from rsm, but like anyways, here it is
Let the distance between
The result of the given parameters is -653/3
<h3>Solving expression</h3>
Given the following parameter
-4(1 + 5)²/6 - (42 +5)
Expand the parenthesis
-4(16)²/6 - (47)
-4(256)/6 - 47
Simplify the resulting expression
-1024/6 - 47
-1024-282/6
-1306/6
-653/3
Hence the result of the given parameters is -653/3
Learn more on expression here: brainly.com/question/723406
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