Which of the following terms best describes a condition in which a qauntity decreases at a rate that is proportional to the curr
1 answer:
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Answer:
The third option listed:
Step-by-step explanation:
We start by writing all the numerical factors inside the qubic roots in factor form (and if possible with exponent 3 so as to easily identify what can be extracted from the root):
And now we combine all like terms (notice that the only two terms we can combine are the first two, which contain the exact same radical form:
Therefore this is the simplified radical expression:
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.