Given the following information, how large was the deer population in that area? If the carrying capacity is 95, should she authorize any hunting permits? Assuming one deer per permit, how many should she authorize?

A wildlife biologist wanted to estimate the size of a deer population because farmers were complaining that the deer were destroying their crops. She trapped, tagged and released 28 deer in June. In August, she trapped a total of 70 deer. 27 of these had tagged ears.

Answer 1

#71;# no hunting permits

#28# deer were trapped in June.
In August, #27# of the deer had tagged ears. This means that they were a part of the #28# deer captured in June.
Only #1# deer was not captured in August. This deer was tagged.
#28 + 70 - 27 = 71#
#71 < 95#

Consequently, no hunting licenses ought to be granted.

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Answer 2

Without the specific information about the current deer population in the area, it is not possible to determine its size or whether hunting permits should be authorized. Additionally, the carrying capacity alone is not sufficient to make this decision, as other factors such as the current population size, reproductive rates, and ecological balance need to be considered. Therefore, more data is needed before making a decision on authorizing hunting permits.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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