What is the DISC method in calculus?

Unit 8 TEST

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Mathematics
•
12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The DISC method is a technique used to analyze the volume of solids of revolution by breaking down the solid into differential elements and integrating.
2.
FLASHCARD QUESTION
Front
How do you find the area between two curves?
Back
To find the area between two curves, integrate the difference of the functions over the interval where they intersect.
3.
FLASHCARD QUESTION
Front
What is the formula for the area of the region bounded by the curves y = f(x) and y = g(x)?
Back
Area = \int_{a}^{b} (f(x) - g(x)) \, dx, where a and b are the points of intersection.
4.
FLASHCARD QUESTION
Front
What does the Average Value of a function represent?
Back
The Average Value of a function f on the interval [a, b] is given by \frac{1}{b-a} \int_{a}^{b} f(x) \, dx.
5.
FLASHCARD QUESTION
Front
How is acceleration related to velocity in calculus?
Back
Acceleration a(t) is the derivative of the velocity function v(t), expressed as a(t) = \frac{d}{dt} v(t).
6.
FLASHCARD QUESTION
Front
What is the formula for the volume of a solid of revolution using the disk method?
Back
Volume = \pi \int_{a}^{b} [f(x)]^2 \, dx, where f(x) is the function being revolved.
7.
FLASHCARD QUESTION
Front
What is the significance of the points of intersection of two curves?
Back
The points of intersection are the limits of integration when calculating the area between the curves.
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