Find the Area of the Surface Generated by Revolving the Curves

question 128

Multiple Choice

Find the area of the surface generated by revolving the curves about the indicated axis.
- $x = \sin t , y = 2 + \cos t , 0 \leq t \leq 2 \pi ; x$ -axis

• A) \(12 \pi ^ { 2 }\)
• B) \(6 \pi ^ { 2 }\)
• C) \(2 \pi ^ { 2 }\)
• D) \(8 \pi ^ { 2 }\)

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Definitions:

HBr

Hydrobromic acid, a diatomic molecule consisting of hydrogen and bromine, used commonly in organic synthesis and as a reagent.

Control

In the context of experiments, a standard condition or treatment that does not change, used as a benchmark to measure the effects of the experimental variable.

Activation Energies

The minimum amount of energy required to initiate a chemical reaction.

Antibonding π Molecular Orbital

A molecular orbital formed when lobes of p orbitals on two atoms combine in a phase mismatch, weakening the bond between the atoms.