B. Apply the distributive priperty to get 4x-12=9
Answer:
5
Step-by-step explanation:
Vcone=1/3(hpir^2)
vcylinder=hpir^2
r=3 for everybody
h=5 for cone and h=4 for cylinder
vcone=1/3(5pi3^2)=15pi
cylinder=4pi3^2=36pi
total is 15pi+36pi=51pi ft³ or about 160.22 ft³
Answer:
c=2
Step-by-step explanation:
All polynomials are continuous and differentiable on the set of real numbers.
So we just need to confirm on the given interval that f(1)=f(3).
f(1)=1-12(1)+3(1)^2
f(1)=1-12+3
f(1)=-8
f(3)=1-12(3)+3(3)^2
f(3)=1-36+27
f(3)=-8
So this means there is c in (1,3) such that f'(c)=0.
To solve that equation we must differentiate.
f(x)=1-12x+3x^2
f'(x)=0-12+6x
f'(x)=-12+6x
Remember we need yo solve f'(c)=0 for c.
So we need to solve -12+6c=0.
-12+6c=0
Add 12 on both sides:
6c=12
Divide both sides by 6:
c=2