The function that is growing at the fastest rate is p(x) = 12x^3 + 9.
This is a cubic function, meaning that x is raised to the third power. This is the only function that is raised to the third power, so it will increase the fastest.
Vcylinder=hpir^2
Vcone=(1/3)hpir^2
d/2=r
so
1.
d=8
r=8/2=4
h=3r
h=3(4)
h=12
V=12*3.14*4^2
V=602.88 in^2
2. cone that fits has same base area and therefor same radius
d=6
r=6/2=3
rcone=3
find height of can
V=hpir^2
21=h*3.14*3^2
21=h*3.14*9
0.7431=h
so
cone height=0.7431
radius=3
V=(1/3)(0.7431)(3.14)(3^2)
V=7 cubic units
3.
same base
find dimentions
s=s=s
V=s^3
27=s^2
3=s
Vsquarepyramid=(1/3)hs^2
s=legnth of base
h=height
h=side
V=(1/3)(3)(3^2)
V=9
C
1. 602.88 in^2
2. 7 cubic units
3. 9cm^3, C
The answer is 1/24. Hope that is right
Step-by-step explanation:
10x - 20 - 3x + 6 = 4x - 2
10x - 3x - 4x = 20 - 6 - 2
3x = 12
3x/3 = 12/3
x = 4
