Answer:
sorry sir i dont really know sir
Answer:
To satisfy the hypotheses of the Mean Value Theorem a function must be continuous in the closed interval and differentiable in the open interval.
Step-by-step explanation:
As f(x)=2x3−3x+1 is a polynomial, it is continuous and has continuous derivatives of all orders for all real x, so it certainly satisfies the hypotheses of the theorem.
To find the value of c, calculate the derivative of f(x) and state the equality of the Mean Value Theorem:
dfdx=4x−3
f(b)−f(a)b−a=f'(c)
f(x)x=0=1
f(x)x=2=3
Hence:
3−12=4c−3
and c=1.
Answer:
1
Step-by-step explanation:
We have the function
and we want to know the value of 
.
The first step is to find 
; we can subtract 1 from it at the end! But what does mean?
Basically, we're saying <em>"what is the value of the function when </em>
<em> ?"</em>
So, we simply replace 
with 3 in the function, and we get:
.
Finally, we subtract 1 to find 
.
15 liters of Yoda Soda for the 36 guests.
