Use the Shell Method to Find the Volume of the Solid

question 134

Multiple Choice

Use the shell method to find the volume of the solid generated by revolving the shaded region about the indicated line.
-About the line $y = 5$


$$x = 3 y - y ^ { 2 }$$

• A) \(\frac { 63 } { 2 } \pi\)
• B) \(\frac { 63 } { 4 } \pi\)
• C) \(\frac { 27 } { 2 } \pi\)
• D) \(\frac { 189 } { 2 } \pi\)

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Definitions:

Long-Term Potentiation (LTP)

A long-lasting increase in signal transmission between two neurons, thought to be a cellular mechanism underlying learning and memory.

Neural Basis

pertains to the underlying brain structures and neuronal mechanisms that support a particular cognitive process or behavior.

Long-Term Potentiation

A process of synaptic enhancement that occurs after heightened levels of synaptic activity, believed to be a cellular mechanism for learning and memory.

Postsynaptic Neurons

Neurons that receive signals (across a synapse) from neurons, muscles, or gland cells.