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Free response·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

Let RR be the region bounded by y=4−x2y=4-x^2 and y=x+2.y=x+2.
Total: 4 points

(a) Find the points of intersection of the two curves. (1 point)

(b) Set up, but do not evaluate, an integral for the area of RR using vertical slices. (2 points)

(c) Evaluate the area of RR. (1 point)

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