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.
f(x) -g(x) = -3x-5 -(4x-2)
distribute
-3x-5 -4x+2
combine like terms
-7x-3
Answer:
-7x-3
It C. and if you need the equation for the area of a parallelogram its A=BH
Answer:
MAD = 0
Step-by-step explanation:
When I calculated this by hand I got 0. To find the MAD:
1. You first need to find the mean of the numbers.
4 + 5 + 8 + 8 + 10 = 35
35/5 = 7
the mean value = 7
2. Then you must find the absolute value of the difference between each data value and the mean: |data value – mean|
(4 - 7) = -3
(5 - 7) = -2
(8 - 7) = 1
(8 - 7) = 1
(10 - 7) = 3
3. Add the difference values up
(-3) + (-2) + 1 + 1 +3 = 0
4. Divide the sum of the absolute values of the differences by the number of data values.
0/5 = 0
