嘉定一中AP选修课
AP Calculus BC
课程概览
Microeconomics
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Calculus BC
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Unit 6 练习
Unit 6 Practice: Applications of Integration
积分的应用 练习
📝 5 道选择题
1. The area between y = x² and y = x is:
A. 1/6
B. 1/3
C. 1/2
D. 1
2. The volume of the solid obtained by rotating y = x², 0 ≤ x ≤ 1 about the x-axis is:
A. π/5
B. π/3
C. π/2
D. π
3. The disk method formula for volume about the x-axis is:
A. V = π∫[f(x)]² dx
B. V = 2π∫x·f(x) dx
C. V = ∫f(x) dx
D. V = π∫[f(x)] dx
4. The shell method formula for volume about the y-axis is:
A. V = 2π∫x·f(x) dx
B. V = π∫[f(x)]² dx
C. V = ∫f(x) dx
D. V = 2π∫y·f(y) dy
5. The average value of f(x) = 2x on [0, 3] is:
A. 3
B. 2
C. 6
D. 9
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