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
2 servings because one serving is 4%, so you would need would need to double that, or multiply it by two.
Since the end of the slide is 1 foot above the ground, the vertical rise of the
<span>slide is 8 - 1 = 7 feet, and since the slide rises at a 45 degree angle it will </span>
<span>have a horizontal run of 7 feet as well. Thus by Pythagoras the length of the </span>
<span>slide is sqrt(7^2 + 7^2) = sqrt(98) = 9.90 feet, which is about 10 feet.</span>
A repeating decimal (rational ends, irrational doesnt)