Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of pi (no approximations)
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Answer:
Check below, please
Step-by-step explanation:
Step-by-step explanation:
1.For which values of x is f '(x) zero? (Enter your answers as a comma-separated list.)
When the derivative of a function is equal to zero, then it occurs when we have either a local minimum or a local maximum point. So for our x-coordinates we can say
2. For which values of x is f '(x) positive?
Whenever we have
then function is increasing. Since if we could start tracing tangent lines over that graph, those tangent lines would point up.
3. For which values of x is f '(x) negative?
On the other hand, every time the function is decreasing its derivative would be negative. The opposite case of the previous explanation. So
4.What do these values mean?
5.(b) For which values of x is f ''(x) zero?
In its inflection points, i.e. when the concavity of the curve changes. Since the function was not provided. There's no way to be precise, but roughly
at x=-4 and x=4