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AP Calculus Legacy Quiz Flashcards | StudBud
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AP Calculus Legacy Quiz
AP Calculus Legacy Quiz
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Answers
1
The temp of tea in Mrs Potts is given by 7-(1/2)x What is the average temp from t=0 to 8
5.714
40
5
4.156
2
Kida inputs energy into a Ketak at a rate of W(t)=52x+5 How much energy is put in in 5 seconds?
657
675
-675
575
3
Rapunzel's hair grows at a rate of f(x)=e
1/8x
in/day. What does f(7) represent?
How much hair grew on day 7
The rate at which her hair was growing on day 7
The acceleration of hair growth on day 7
The length of her hair on day 7
4
Winnie the Pooh is eating honey at x
4
+5x-6 grams/min? How much honey is eaten in 5 minutes?
505 grams
644 grams
657.5 grams
.6575 kg
5
A crocodile is eating Captain Hook at a rate of f(x)=x
2
+5x How much has he eaten in 3 minutes?
25.16
11
31.5
24
6
What concept of Calculus will help Mickey Mouse find acceleration given v(t) = ∫
0
x
a(t) dt?
Quotient Rule
Derivatives
Fundamental Theorem of Calculus
Tangent Lines
7
If Aladdin's magic carpet has an acceleration of a(t)=4x
3
+6x what is the velocity function?
12x2+6
4x4+3x2
x4+3x2
x4+x
8
Ariel is swimming from a ship at a velocity of 6x
2
+2x What is her postion at t=5 if t(0)=3
160
62
275
278
9
The amount of quacks that Donald quacks is given by x
2
-2x+6. What is the rate of his quacking?
2x+4
2x-2
x3/3-2x
x3/3-x2+6x
10
Snow White's singing attracts animals at 3x
2
+6x animals/min How many are there after 5 minutes?
200
105
195
36
11
How long will it take Dumbo to fly 162 feet if he is flying at a rate of 4x feet/second?
4 seconds
40.5 seconds
12.728 seconds
9 seconds
12
What is the acceleration of a car at t=3 that is traveling at x
2
+ 5x + 11 m/sec?
11 m/sec
12m/sec
35 m/sec2
11 m/sec2
13
Tinker Bell is flying at a rate of 1km/min. What is the distance traveled in 5 minutes?
5 km
5 miles
6 km
3 miles
14
Buzz Lightyear is flying at a velocity of v(t)=cosx+5. If s(0)=0 what is his position at t=π?
15.708
4
0
5π
15
The position of Cinderella's carriage is given by s(t). Which equation represents acceleration?
s''(t)
∫ s(t)dt
s'(t)
∫ a(t)dt
16
Hades puts minions into the Underdrome at m(t)= sin(x)+1. How many monsters are there at t=7?
t(m)
m'(t)
∫70 m(t) dt
∫07 m(t) dt
17
Prince Philip is running to Aurora at v(t)= x+6. What is his position after 5 minutes? s(0)=0
6
11
43
42.5
18
Stitch's acceleration is a(t)=3x
2
+8 Which function represents his postion if v(0)=0 and s(0)=0?
x3+8x
6x
x4/4 +4x2
x4+4x2
19
Monsters invade Disney Castle at a rate of m(t)= 3x
2
+ 2x + 5. How many invade from t=3 to t=7?
-404
376
44
367