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 9 练习
Unit 9 Practice: Parametric & Polar
参数方程与极坐标 练习
📝 4 道选择题
1. If x = t², y = t³, then dy/dx =
A. 3t/2
B. 3t²
C. 2t/3
D. t
2. The arc length formula for a parametric curve is:
A. L = ∫√[(dx/dt)² + (dy/dt)²] dt
B. L = ∫√(1 + (dy/dx)²) dx
C. L = ∫(dx/dt + dy/dt) dt
D. L = ∫√[(x)² + (y)²] dt
3. The polar curve r = 2cos(θ) is a:
A. Circle
B. Cardioid
C. Limaçon
D. Rose curve
4. The area enclosed by the polar curve r = f(θ) from θ=a to θ=b is:
A. (1/2)∫ₐᵇ [f(θ)]² dθ
B. ∫ₐᵇ f(θ) dθ
C. ∫ₐᵇ r dθ
D. π∫ₐᵇ [f(θ)]² dθ
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