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.
5(24+4) Also 20(6+1)...................
Answer:
Divide 9 from both sides.
Step-by-step explanation:
The first step to solving this equation is to add 23 to both sides.
9x - 23 (+23) = 49 (+23)
9x = 49 + 23
9x = 72
The second step is to isolate the x and divide 9 from both sides:
(9x)/9 = (72)/9
x = 72/9
x = 8
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