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.
The measure of arc LMN = 2 mesure of angle LMN ==> 64°
The third one because its the only one decreasing
First, we can simplify the left side. (6+8x)/2 is equal to 3 + 4x. We can put the equation together at this point.
3 + 4x = 5x
we can subtract 4x from both sides to get our final answer,
3 = x, or x = 3. :)
You would do 2^2 and will come out to 4. Your mixed number is 4. Then you will do 3/4^2 and will come out to 9/12 Your answer is 4 9/12
