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:
<h2>5.2 g/cm³</h2>
Step-by-step explanation:
The density of a substance can be found by using the formula

From the question we have

We have the final answer as
<h3>5.2 g/cm³</h3>
Hope this helps you
Answer:
Step-by-step explanation:
f(x) = -1/3x + 1:
Answer:
See below.
Step-by-step explanation:
12(3d+8)
36d+96
-hope it helps
Answer:
The area is changing at the point of 
Step-by-step explanation:
From the given information:
Let's recall from our previous knowledge that the formula for finding the area of a rectangle = L × w
where;
L = length and w = width of the rectangle
Suppose the Length L is twice the width w
Then L = 2w --- (1)
From The area of a rectangle
A = L × w
A = 2w × w
A = 2w²
Taking the above differentiating with respect to time

At the time t

Replacing the values back into equation 2, we get:

