AP Calculus Unit 4 Review
Flashcard
•
Mathematics
•
12th Grade
•
Practice Problem
•
Medium
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the formula for the volume of a sphere?
Back
V = (4/3)πr³, where r is the radius of the sphere.
2.
FLASHCARD QUESTION
Front
How do you find the rate of change of volume with respect to time for a sphere?
Back
Use the chain rule: dV/dt = dV/dr * dr/dt.
3.
FLASHCARD QUESTION
Front
If the radius of a sphere is decreasing, how does it affect the volume?
Back
The volume decreases as the radius decreases.
4.
FLASHCARD QUESTION
Front
What is the relationship between the radius and volume of a sphere?
Back
The volume of a sphere is proportional to the cube of its radius.
5.
FLASHCARD QUESTION
Front
What does v(t) > 0 indicate about a particle's motion?
Back
The particle is moving to the right.
6.
FLASHCARD QUESTION
Front
How do you calculate acceleration from a position function?
Back
Acceleration is the second derivative of the position function with respect to time.
7.
FLASHCARD QUESTION
Front
What is the derivative of x = 3t² + 5t³ - 2t?
Back
v(t) = 6t + 15t² - 2.
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