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:
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Answer:
Step-by-step explanation:
-8/9 is the reciprocal i believe
Answer:
<h2>$128847</h2>
Step-by-step explanation:
given Principle at 31250
and rate = 12%
and time 12.5 years
the amount would be given by the equation
plug in values to get
end up with value $128847
I believe the answer is 11/15 .