Suppose the Resident Population P(in Millions) of the United States $P = 0.00000583 t ^ { 3 } + 0.005003 t ^ { 2 } + 0.13776 t + 4.658 , - 6 \leq t \leq 193$

question 73

Multiple Choice

Suppose the resident population P(in millions) of the United States can be modeled by $P = 0.00000583 t ^ { 3 } + 0.005003 t ^ { 2 } + 0.13776 t + 4.658 , - 6 \leq t \leq 193$ , where $t = 0$ corresponds to 1800. Analytically find the minimum and maximum populations in the U.S. for $- 6 \leq t \leq 193$ .

• A)The population is minimum at \(t = - 6\) and maximum at \(t = 0\) .
• B)The population is minimum at \(t = 0\) and maximum at \(t = 193\) .
• C)The population is minimum at \(t = 193\) and maximum at \(t = - 6\) .
• D)The population is minimum at \(t = - 6\) and maximum at \(t = 193\) .
• E)The population is minimum at \(t = 0\) and maximum at \(t = - 6\) .

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Definitions:

Connects

Connects refers to the action of linking or joining two or more things together.

Muscle

Muscles are soft tissues in the body that contract to produce movement of body parts and maintain posture.

Bone

A rigid organ that constitutes part of the vertebrate skeleton, providing structural support and protecting various organs.

Tendon

A fibrous connective tissue that attaches muscle to bone, transmitting forces to produce movement at joints.