Let R Be Region Bounded by the Curve $4 y = x ^ { 2 } , x = 2 y - 4$

question 15

Essay

Let R be region bounded by the curve $4 y = x ^ { 2 } , x = 2 y - 4$ .(a) Find the volume of the solid obtained by rotating R about the x-axis.(b) Find the volume of the solid obtained by rotating R about the line x = 5.(c) Find the volume of the solid obtained by rotating R about the line y = -1.

---

Definitions:

Investment Demand

The total demand for goods and services within an economy that represents an investment by businesses or individuals.

Say's Law

An economic theory proposing that supply creates its own demand, implying that production drives economic growth.

Keynesians

Economists and followers of the economic theories of John Maynard Keynes, who advocated for government intervention to manage economic cycles.

Aggregate Demand

The full quantum of desire for goods and services within an economic realm, set against a particular overarching price level for a fixed duration.