We know that, as per a corollary of intermediate value theorem, if a function f(x) is continuous on a closed interval [a,b], and values of f(a) and f(b) have opposite signs, then the function f(x) is guaranteed to have a zero on the interval (a,b).
So, basically, we need to figure out two values of x, at which the values of the given cubic function have opposite signs.
Let us consider the interval [-2,1].
We have . Upon substituting the values x=-2 and x=1 one by one, we get:
We can see that signs of values of the function at x=-2 and x=1 are opposite, therefore, as per intermediate value theorem, the function is guaranteed to have a zero on the interval [-2,1]
Answer:
f=2
Step-by-step explanation:
First, you move the variables to the left side of the equation and change its sign.
After doing so, you have 4f -5f =2.
Now, combine like terms. 4f-5f = -f, or -1f. Either way is fine.
Your equation looks like this now: -f = -2
Now remove the negative symbols due to their being one on both side.
f=2
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Answer:
Area of the circle =
Step-by-step explanation:
Radius of the circle=
Area of the circle=
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Area of the circle is:
The Area of the circle is :
Step by step explanation:
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answer: