AP Calculus AB 7.2 Day 2 Classwork KEY

1. ≈ 1.452 2. 4.5 3. 10. 6̅ 4. ln 2 ≈ 0.693 5. 2.004

Name Period Find the area of the region enclosed by the given curves 1. 𝑦 = 2 − 𝑥2, 𝑦 = 𝑒𝑥 2. 𝑥 = 2𝑦 − 𝑦2, 𝑦 = −𝑥 3. 𝑓(𝑦) = 𝑦2, 𝑥 − 2𝑦 = 3 4. 𝑦 = 1

𝑥, 𝑥 = 0, 𝑦 = 1, 𝑦 = 2

5. 𝑓(𝑥) = 1 + 𝑥 + 𝑒𝑥2−2𝑥 and 𝑔(𝑥) = 𝑥4 − 6.5𝑥2 + 6𝑥 + 2 on the domain [0,2]

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AP Calculus AB 7.2 Day 2 Classwork KEY

6. 23.562 7. 135.971 8. 60.319

Find the volume obtained when rotating the area of the region enclosed by the given curves about the x-axis. 6. 𝑦 = √𝑥 − 1; 𝑥 = 2; 𝑥 = 5; 𝑦 = 0 7. 𝑦 = 2𝑥; 𝑦 = 0; 𝑥 = 1; 𝑥 = 3 8. Find the volume obtained by rotating the region enclosed by 𝑦 = 𝑥3, 𝑥 = 0, and 𝑦 = 8 about

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