If a particle has velocity v(t), then its average velocity between a\le t\le bis...

\frac{1}{b-a}\int_a^bv\left(t\right)dt

What is the inverse rule? \frac{d}{dx}f^{-1}\left(x\right)=

\frac{1}{f'\left(f^{-1}\left(x\right)\right)}

On the first day of class, we learned about...

Archimedes & the Method of Exhaustion

A particle's speed is decreasing when...

v(t) and a(t) have opposite signs

If the region between y=5-\frac{2}{3}x and y=1 between 0\le x\le5 is rotated around the line y=1, the volume is...

\pi\int_0^5\left(5-\frac{2}{3}x-1\right)^2dx

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AP Calc End of Year Quiz!

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Questions 17

Answers

1
Mr. Bartholomew majored in physics and...
Memetic studies
Music
Math
Art History
2
If a particle has velocity v(t), then its average velocity between a\le t\le bis...
\frac{v\left(b\right)-v\left(a\right)}{b-a}
\frac{1}{b-a}\int_a^bv'\left(t\right)dt
\frac{v'\left(b\right)-v'\left(a\right)}{b-a}
\frac{1}{b-a}\int_a^bv\left(t\right)dt
3
Derivative of \sin^{-1}\left(x\right)is...
\frac{1}{\sqrt{1-x^2}}
\frac{1}{1+x^2}
\cos^{-1}\left(x\right)
\frac{-1}{\sqrt{1-x^2}}
4
The function below is...
Concave up for all x
Continuous for all x
Differentiable for all x
Strictly decreasing
5
Volume of a sphere?
4\pi r^3
4\pi r^2
\frac{4}{3}\pi r^3
\frac{4}{3}\pi r^2
6
The derivative of \int_4^{x^2}\cos\left(t-2\right)dtis
\cos\left(x^2-2\right)
2x\sin\left(x^2-2\right)
\sin\left(x^2-2\right)
2x\cos\left(x^2-2\right)
7
What is the inverse rule? \frac{d}{dx}f^{-1}\left(x\right)=
0
f'\left(f^{-1}\left(x\right)\right)f\left(x\right)
\frac{1}{f^{-1}\left(f'\left(x\right)\right)}
\frac{1}{f'\left(f^{-1}\left(x\right)\right)}
8
Derivative of \cot x?
\tan x
\csc^2x
-\csc^2x
-\csc x\cot x
9
Antiderivative of \sec^2\left(4x\right)is...
4\tan\left(4x\right)
\frac{1}{4}\tan\left(4x\right)
\tan\left(\frac{1}{4}x\right)
\tan\left(4x\right)
10
Last year, Mr. Bartholomew taught...
AP Calculus
Precalculus
Geometry
Chess
11
On the first day of class, we learned about...
Archimedes & the Method of Exhaustion
Definition of continuity
Limits with Factoring
Zeno's Paradox
12
When is the AP exam?
Monday, May 17th at 8 am
Today at 4:30 pm
Tuesday, May 25th at 8 am
Monday, May 24th at 8 am
13
A function is concave down when its derivative is...
Decreasing
Positive
Increasing
Negative
14
A particle's speed is decreasing when...
Its acceleration is negative
v(t) and a(t) have the same sign
Its velocity is negative
v(t) and a(t) have opposite signs
15
If the region between y=5-\frac{2}{3}x and y=1 between 0\le x\le5 is rotated around the line y=1, the volume is...
\int_0^5\left(5-\frac{2}{3}x-1\right)^2dx
\int_0^5\left[\left(5-\frac{2}{3}x\right)^2-1\right]dx
\pi\int_0^5\left(5-\frac{2}{3}x-1\right)^2dx
\frac{1}{2}\pi\int_0^5\left(5-\frac{2}{3}x-1\right)^2dx
16
\sin\left(\frac{\pi}{3}\right)=
\frac{\sqrt{2}}{2}
\frac{1}{2}
\frac{\sqrt{3}}{2}
1
17
What would you learn in Calculus 4 in college?
Taylor series
3D functions
Recap of derivatives
Integration by parts

AP Calc End of Year Quiz! Flashcards | StudBud