At what values of x does f(x) = x^3 - 2x^2 -4x+1 satisfy the mean value theorwm on [0,1]
1 answer:
Answer:
x=1/3
Step-by-step explanation:
A function f is given as
in the interval [0,1]
This function f being an algebraic polynomial is continuous in the interval [0,1] and also f is differntiable in the open interval (0,1)
Hence mean value theorem applies for f in the given interval
The value
Find derivative for f
Equate this to -5 to check mean value theorem
We find that 1/3 lies inside the interval (0,1)
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Answer:
A=BQ
Step-by-step explanation:
In order to find an expression, you can use the definition of the dividend in a division:
where A is the dividend, B is the divisor, Q is the quotient (the result of the division) and R is the remainder of the division.
Let A represent the integer variable number of prizes and B represent the integer variable number of participants.
In this case R=0 and B≠0, therefore:
A=BQ
A is divisible by B if A can be written as an integer multiple of B. In other words, you have to find an integer number Q that multiplied by B produces A.