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
Answer:
x = 0.5, one solution
Step-by-step explanation:
6+1 = -6x + 10
7 = -6x + 10
-3 = -6x
6x = 3
x = 3/6
x = 1/2
x = 0.5
Answer:
160
Step-by-step explanation:
mark brainliest
have a great day
Answer:
21
Step-by-step explanation:
21 is the constant of proportionality.