Find the Area of the Surface Generated by Revolving the Curves

question 206

Multiple Choice

Find the area of the surface generated by revolving the curves about the indicated axis.
- $x = t + \sqrt { 30 } , y = \frac { t ^ { 2 } } { 2 } + \sqrt { 30 } t , - \sqrt { 30 } \leq t \leq \sqrt { 30 } ; y$ -axis

• A) \(\frac { 1330 } { 3 } \pi\)
• B) \(1330 \pi\)
• C) \(532 \pi\)
• D) \(\frac { 2660 } { 3 } \pi\)

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Definitions:

Temperature

A measure of the warmth or coldness of an object or environment, usually quantified in units like Celsius, Fahrenheit, or Kelvin.

Axon

A long, slender projection of a neuron that conducts electrical impulses away from the neuron's cell body or soma, towards other neurons, muscles, or glands.

Messages

Units of communication intended to convey information, beliefs, or ideas from one entity to another.

Neurons

Specialized cells in the nervous system that transmit information to other nerve cells, muscle, or gland cells, playing a critical role in the functioning of the brain and nervous system.