AP Calculus AB/BC

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Area

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AP Calculus AB/BC

Definition

Area is the measure of the amount of space enclosed by a two-dimensional shape. In the case of a circle, it represents how much space is inside its boundary.

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Practice Questions (16)

The radius of a circular pool is decreasing at a rate of 0.25 m/min. At what rate is the area of the pool changing when the radius is 4 m?
The length of a rectangle is increasing at a rate of 2 cm/s, the width is increasing at a rate of 3 cm/s, and the area is increasing at a rate of 56 cm^2/s. If the length of the rectangle is currently 12 cm/s, what must be the width of the rectangle?
Determine the area enclosed by the curves y = x^2 and y = √x for 0 ≤ x ≤ 1.
Determine the area enclosed by the curves y = x^3 and y = 3x for -1 ≤ x ≤ 1.
Find the area between the curves y = e^x and y = x for 0 ≤ x ≤ 1.
Determine the area enclosed by the curves y = √x and y = x^2 for 0 ≤ x ≤ 1.
Determine the area enclosed by the curves y = x^4 and y = x^3 for 0 ≤ x ≤ 1.
Find the area enclosed by the curves y = sin(x) and y = cos(x) for 0 ≤ y ≤ 1.
Which formula is used to calculate the area of each triangle in a polar function?
When calculating the area enclosed between two polar curves, what operation is performed?
What can be determined by calculating the area of one petal in a polar function?
What is the process for finding the area between two polar curves?
If two polar curves intersect, what should be done to find the area between them?
What is the significance of the endpoints of integration when finding the area between two polar curves?
What determines whether the area between two polar curves is positive or negative?
If the two polar curves do not intersect, what is the area between them?

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Area

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AP Calculus AB/BC

Definition

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Subjects (22)

Practice Questions (16)

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study guides for every class

that actually explain what's on your next test

Area

from class:

AP Calculus AB/BC

Definition

Related terms

"Area" also found in:

Subjects (22)

Practice Questions (16)

© 2024 Fiveable Inc. All rights reserved.

AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.

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