Answer:
a) 8π
b) 8/3 π
c) 32/5 π
d) 176/15 π
Step-by-step explanation:
Given lines : y = √x, y = 2, x = 0.
<u>a) The x-axis </u>
using the shell method
y = √x = , x = y^2
h = y^2 , p = y
vol = ( 2π ) 
=
∴ Vol = 8π
<u>b) The line y = 2 ( using the shell method )</u>
p = 2 - y
h = y^2
vol = ( 2π )
= 
= ( 2π ) * [ 2/3 * y^3 - y^4 / 4 ] ²₀
∴ Vol = 8/3 π
<u>c) The y-axis ( using shell method )</u>
h = 2-y = h = 2 - √x
p = x
vol = 
= 
= ( 2π ) [x^2 - 2/5*x^5/2 ]⁴₀
vol = ( 2π ) ( 16/5 ) = 32/5 π
<u>d) The line x = -1 (using shell method )</u>
p = 1 + x
h = 2√x
vol = 
Hence vol = 176/15 π
attached below is the graphical representation of P and h
Answer:
Step-by-step explanation:
Odd numbers backwards - 9, 7, 5, 3
1 = -2+9=7
2 = -1+7=6
3 = 0+5=5
4 = 1 +3=4
9514 1404 393
Answer:
B 2(−10x+2y−1)
Step-by-step explanation:
The greatest common factor is 2. Factoring that out gives the factorization shown in choice B.
2(-10x +2y -1)
__
You could factor out -2. Doing that would give ...
-2(10x -2y +1) . . . . . . . doesn't match choice C
Answer:
The second one
Step-by-step explanation:
If you know about hyper and Para bolas then the second one also know as a frowny fave parabola is a function
Answer:36.5625
Step-by-step explanation:
Hope this helped!
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