Ariel, a Marine Biologist, Models a Population P of Crabs $\mathrm { P } ( \mathrm { t } ) = - 0.00003 \mathrm { t } ^ { 3 } + 0.008 \mathrm { t } ^ { 2 } + 3.5 \mathrm { t } + 600$

question 68

Multiple Choice

Ariel, a marine biologist, models a population P of crabs, t days after being left to reproduce, with the function $\mathrm { P } ( \mathrm { t } ) = - 0.00003 \mathrm { t } ^ { 3 } + 0.008 \mathrm { t } ^ { 2 } + 3.5 \mathrm { t } + 600$ . Assuming that this model continues to be accurate, when will this population become extinct? (Round to the nearest day.)

• A) 707 days
• B) 911 days
• C) 1512 days
• D) 547 days

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Definitions:

Client/server Model

An architecture dividing applications into two roles: clients request services, and servers provide services, supporting networked, application service requests.

TCP

Transmission Control Protocol, a fundamental protocol in the Internet protocol suite that enables reliable, ordered, and error-checked delivery of a stream of bytes between applications running on hosts communicating via an IP network.

Three-way Handshake

A method used in a TCP/IP network to establish a connection between a client and a server that involves three steps: the initiation of the connection by the client, the acknowledgment by the server, and the acknowledgment of the acknowledgment by the client.

POP

Post Office Protocol, a standard protocol used by local email clients to retrieve emails from a remote server over an IP network.