Volume formula of sphere
2 answers:
The figure shown in the image provided is called a sphere. Note that a sphere can be thought of as a round ball. In geometric terms, a sphere is defined as a set of points that are a given distance from a given point. The given point is called the center of the sphere and the given distance from the center of the sphere to the set of points that form the sphere is called the radius of the sphere.
The volume of a sphere can be calculated by the formula that is shown in the second image that is provided below.
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Answer:
Diverge
Step-by-step explanation:
(a)
1st year:
2nd year:
3rd year:
4th year:
5th year:
(b) The sequence is divergent, because if we take the derivative of the function with respect to n year:
This is a positive, meaning the slope of the function is positive. If we take the second derivative using product rule
This is also positive when n > 0. Therefore, the slope is positive and increasing. This means the sequence diverges.