The rate of change of the rate at which cars are crossing

Question will appear shortly...

Slowing down because v(t)>0 and a(t)<0

At 3 minutes, the water in the tank is leaving at 9 gals/min

amount of books in the library decreased by 100books/month

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Duplicate of AP Calc: 3.3, 3.4 Practice

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Calculus, trig derivatives, rates of change, interpreting graphs

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Questions 17

Answers

1
Interpret k'(t)...
The rate of change of the rate at which cars are crossing
The rate at which cars are crossing the bridge
The amount of cars on the bridge
The acceleration of the cars on the bridge
2
Is the bus accelerating faster at time 2 seconds or 20 seconds?
No way to tell
20 seconds
They're the same
2 seconds
3
Find the derivative in the most simplified form...
-sin^2(x)
0
2tanx
-secx sinx+secx tanx cosx
4
Find the equation of the tangent line...
y = -1
y = 1
y + 1 = -1 (x+pi/2)
y – 1 = 1 (x+pi/2)
5
Does the bus ever travel backwards?
Can't say for sure
Yes, on (C,D)
No, never
Yes, on (B,C)
6
Question will appear shortly...
Slowing down because v(t)<0 and a(t)>0
Speeding up because v(t)>0 and a(t)>0
Slowing down because v(t)>0 and a(t)<0
Speeding up because v(t)<0 and a(t)<0
7
Find the value of k
k = 0
k = pi +1
k = pi – 1
k = -1
8
Is the bus moving faster at 1 second or 11 seconds?
1 second
They're the same
No way to tell
11 seconds
9
Find h''(-pi/2)
1
DNE
-1
0
10
Find the derivative...
1 / (1+sinx)^2
1
cosx / (1+cosx)
cosx / (1+sinx)^2
11
Find the velocity...
1
0
DNE
-1
12
When is the bus stopped?
(C,D)
(A,B) u (C,D) u (E,F)
{O} u (A,B) u (C,D) u (E,F)
{O} u (C,D)
13
Interpret...
After 3 minutes, water is decreasing at -9gallons/min
At 3 minutes, there is no water in the tank
After 3 mins, the water in the tank has decreased by 9gals
At 3 minutes, the water in the tank is leaving at 9 gals/min
14
Interpret...
rate of change of books in library decreased by 100 bks/mnth
there are -100 books in the library
amount of books in the library decreased by 100books/month
100 books were checked out
15
Find the derivative...
secx (tanx + x)
secx tanx
secx (xtanx +1)
x secx tanx
16
What is the acceleration at 2 seconds?
0
-1
-5
2
17
When on t in (0,50) is the particle stopped?
t= 10, 15, 30, 40
t = 30
t = (10,15)
t = (10,15) and 40

Duplicate of AP Calc: 3.3, 3.4 Practice Flashcards | StudBud