Practice — Applications of Integration

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Calc AB
U8
Item 5

Multiple choice·Hard exam skill (4/5)·No calculatorNeeds mentor review

Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Question

For rotation about

y=2

in the shown figure, why is the lower curve

y=x^2

used for the outer radius?

Choose an answer

\text{It is farther from the axis }y=2\text{ than }y=x\text{ is.}

\text{It is closer to the axis }y=2\text{ than }y=x\text{ is.}

\text{It has the larger y-value on }(0,1).

\text{Outer radius always comes from the top curve.}

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