The Base of a Solid $S$ Is the Parabolic Region $\left\{ ( x , y ) \mid y ^ { 2 } \leq x \leq 1 \right\}$

question 183

Multiple Choice

The base of a solid $S$ is the parabolic region $\left\{ ( x , y ) \mid y ^ { 2 } \leq x \leq 1 \right\}$ . Cross-sections perpendicular to the x-axis are squares. Find the volume of $S$ .

• A)1.5
• B)1.6
• C)1.7
• D)1.8
• E)1.9
• F)2.0
• G)2.1
• H)2.2

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Definitions:

Total Utility

The total satisfaction or happiness derived by a consumer from consuming a certain quantity of goods or services.

Additional Coffee

An increment in the quantity of coffee, considered as an example of a product or commodity in economic studies.

Marginal Utility

The additional joy or advantage obtained from using one more unit of a good or service.

Diminishing

A principle that refers to a decrease or reduction in the effectiveness, value, or quantity of something over time or under certain conditions.