Solve the Problem $\mathrm { S } ( \mathrm { r } ) = 4 \pi \mathrm { r } ^ { 2 }$

question 120

Multiple Choice

Solve the problem.
-The surface area of a balloon is given by $\mathrm { S } ( \mathrm { r } ) = 4 \pi \mathrm { r } ^ { 2 }$ , where $\mathrm { r }$ is the radius of the balloon. If the radius is increasing with time $t$ , as the balloon is being blown up, according to the formula $r ( t ) = \frac { 2 } { 3 } t { } ^ { 3 } , t \geq 0$ , find the surface area $S$ as a function of the time $t .$

• A) \(S ( r ( t ) ) = \frac { 16 } { 9 } \pi t ^ { 6 }\)
• B) \(S ( r ( t ) ) = \frac { 16 } { 9 } \pi t ^ { 9 }\)
• C) \(S ( r ( t ) ) = \frac { 4 } { 9 } \pi t ^ { 6 }\)
• D) \(S ( r ( t ) ) = \frac { 16 } { 9 } \pi t ^ { 3 }\)

Recognize the characteristics of high-quality nursing documentation.

Distinguish between subjective and objective data in patient assessments.

Identify appropriate delegation of tasks within the healthcare team according to professional guidelines and scopes of practice.

Develop effective communication skills for eliciting detailed patient histories and information.

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Definitions:

Union Shop

A workplace where employees must join the union within a certain timeframe after being hired.

Lockout

An action taken by employers to prevent employees from working during a labor dispute, as a measure to pressure the union into concessions.

Picketing

Job action during a legal strike when employees circulate at the periphery of the job site to persuade others not to do business with the struck employer.

Workers' Compensation Benefits

An insurance type that offers medical benefits and substitutes wages for workers hurt while working.