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2011年AP微积分BC简答题真题+答案+PDF下载

来源:原创作品 | 2019-11-2621

2011年AP微积分BC简答题真题+答案+PDF下载SectionII,PartA1)Attimet,aparticlemovinginthexy-planeisatposition(x(t),y(t)),wherex(t)andy(t)arenotexplicitlygiven.Fort≥0,dx/dt=4t+1anddy/...

2011年AP微积分BC简答题真题+答案+PDF下载

Section II,Part A

1) At time t, a particle moving in the xy-plane is at position (x(t) , y(t)), where x(t)and y(t) are not explicitly given. For t ≥0, dx/dt=4t +1 and dy/dt=sin(t2) . At time t =0, x(0)=0 and y( 0) =-4.

Find the speed of the particle at time t =3, and find the acceleration vector of the particle at time t =3.

Find the slope of the line tangent to the path of the particle at time t =3.

Find the position of the particle at time t =3.

Find the total distance traveled by the particle over the time interval 0 ≤t ≤3.


2)


 As a pot of tea cools, the temperature of the tea is modeled by a differentiable function H for 0≤ t≤10, where time t is measured in minutes and temperature H(t) is measured in degrees Celsius. Values of H(t) at selected values of time t are shown in the table above.

(a) Use the data in the table to approximate the rate at which the temperature of the tea is changing at time t = 3.5. Show the computations that lead to your answer.

SECTION II, Part B部分

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科目 智思5分率 师资 课程目标 课程大纲 教材
AP微积分BC
Calculus BC
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课次3-4 Application of Derivatives II&
The Definite Integral
课次5-6 Differential Equation &
Application of Definite Integrals
课次7-8 L' Hôpital's Rule, Improper Integrals&
Parametric vector, Polar functions
课次9-10 Infinite series I&
Infinite series II
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