study guides for every class

that actually explain what's on your next test

Xy-plane

from class:

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.

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

study guides for every class

that actually explain what's on your next test

Xy-plane

from class:

AP Calculus AB/BC

Definition

"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.

Back

Next

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.

Back

Next