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WorksheetsAP Calculus AB multiple choice calculator blitz
Total questions: 15
Worksheet time: 32mins
The help restore a beach, sand is being added to the beach at a rate of s(t) = 65+24sin(0.3t) tons per hour, where t is measure in hours since 5:00 a.m. How many tons of sand are added to the beach over the 3-hour period from 7:00 a.m. to 10:00 a.m.?
255.368
225.271
85.123
10.388
2 only
2 and 4
0 and 2 only
0,1 and 2
The second derivative of a function f is given by f"(x)=sin(3x)-cos(x2). How many points of inflection does the graph of f have on the interval 0 < x < 3?
One
Three
Four
Five
-10
-5
5
10
The tempereature of the room, in degrees Celsius at 6:00 A.M
The average temperature of the room, in degrees Celsius, at 6:00 A.M.
The change in the temperature of the room, in degrees Celsius, between midnight and 6:00 A.M.
The rate at which the temperature in the room is changing, in degrees Celsius per hour, at 6:00 A.M.
Let f be the function with derivative given by f'(x)-sin(x2 - 3), at what values of x in the interval - 3 < x < 3 does f have a relative maximum?
-1.732 and 2.478 only
-2.478 and 1.732 only
-2.183. 0, and 2.138
-2.478, - 1.732, 1.732 and 2.478
1
3
7
10
11.941
14.587
24.672
27.814
People are entering a building at a rate modeled by f(t) people per hour and exiting the building at a rate modeled by g(t) people per hour, where t is measured in hours. The functions f and g are nonnegative and differentiable for all times t. Which of the following inequalities indicates that the rate of change of the number of people in the building is increasing at time t?
f(t) > 0
f'(t) > 0
f(t) - g(t) > 0
f'(t) - g'(t) > 0
The velocity of a particle moving along the x-axis is given by v(t) =√ ̅t̅ - cos(et) for t ≥ 0. Which of the following statements describes the motion of the particles at t = 1 ?
The particle is moving to the left with positive acceleration.
The particles is moving to the right with postive acceleration.
The particle is moving to the left with negative acceleration.
The particle is moving tot he right with negative acceleration.
A tire that is leaking air has an initial pressure of 30 pounds per square in (psi). The function t=f(p) models the amount of time t, in hours, it takes for the air pressure of the tire to reach p psi. What are the units for f'(p) ?
hours
psi
psi per hour
hours per psi
-1.384 < x < -0.264 only
x < -0.633 and x > 0.319 only
-∞ < x <∞
There are no intervals on which f is increasing.
One
Two
Three
Four
None
II only
I and II only
I and III only
