AP Calculus AB/BC

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Xy-plane

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AP Calculus AB/BC

Definition

The xy-plane, also known as the Cartesian plane or coordinate plane, is a two-dimensional plane formed by two perpendicular number lines called the x-axis and y-axis. It is used to represent points in space using coordinates (x, y).

"Xy-plane" also found in:

Subjects (3)

Practice Questions (5)

A particle moves on the xy-plane. The y-coordinate of its position is described by the function y(t) = 8t^2 + 10t + 7. And, the x-coordinate of its position is described by the function x(t) = -5(t - 5)^3. Evaluate the first derivative of the y-coordinate with respect to the x-coordinate, dy/dx, at time t = 1.
A particle is moving on the xy-plane. Its motion can be described by the parametric functions y(t) = sin(t) and x(t) = √t. Find the equation of the line tangent to particle at time t = 16π.
A particle moves on the xy-plane. Its motion can be described by the parametric functions y(t) = sin(t) and x(t) = cos(t). What will the path of the particle look like?
A particle moves on the xy-plane. Its motion can be described by the parametric functions y(t) = sin(t) and x(t) = cos(t). For which t in the interval 0 ≤ t < 2π is the path of the particle concave down?
A particle moves on the xy-plane. The following equations about the particle’s movement are true: dy^2/dx^2 = 2t^4 + 6t^2 + 3t and dx/dt = 1/t. Find y(t) given that y(0) is 25.

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Xy-plane

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AP Calculus AB/BC

Definition

"Xy-plane" also found in:

Subjects (3)

Practice Questions (5)

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study guides for every class

that actually explain what's on your next test

Xy-plane

from class:

AP Calculus AB/BC

Definition

Related terms

"Xy-plane" also found in:

Subjects (3)

Practice Questions (5)

© 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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