Sentences with TANGENT-PLANE
Check out our example sentences below to help you understand the context.Sentences
1
"The tangent plane to the surface at that point is parallel to the xy-plane."
2
"We calculated the equation of the tangent plane using partial derivatives."
3
"The tangent plane is a flat surface that touches the curve at a specific point."
4
"The tangent plane allows us to study the behavior of a function near a particular point."
5
"The slope of a curve at a given point corresponds to the inclination of the tangent plane."
6
"To find the equation of the tangent plane, we need to know the point of tangency and the normal vector."
7
"The tangent plane represents the best linear approximation to a function at a specific point."
8
"The tangent plane provides an approximation of the behavior of the surface around a chosen point."
9
"To visualize the tangent plane, imagine a flat sheet sticking to the surface at a particular point."
10
"The normal vector to the tangent plane is perpendicular to the surface at the point of tangency."
11
"The equation of the tangent plane helps us approximate the value of a function near a given point."
12
"The concept of the tangent plane is extensively used in multivariable calculus."
13
"The tangent plane has a similar slope as the curve at the point of contact."
14
"By examining the tangent plane, we can determine the local behavior of a surface."
15
"The tangent plane is an important tool for studying the geometry of surfaces."
16
"Understanding the equation of the tangent plane is crucial for many applications in physics."
17
"The tangent plane at a critical point can provide insights into the behavior of a function."
18
"To find the normal vector to the tangent plane, we need to take the partial derivatives of the surface equation."
19
"The tangent plane to the graph of a function represents the best linear approximation to the function at a specific point."
20
"The concept of the tangent plane is closely related to the concept of the derivative in calculus."
1
"The tangent plane to a sphere at a given point is a plane that touches the sphere at that point."
2
"In differential geometry, the concept of tangent plane is fundamental to understanding the behavior of surfaces."
3
"When studying the curvature of a curved surface, the tangent plane provides a local approximation of the surface at a point."
4
"The tangent plane to a graph of a function f(x, y) at a point (a, b, f(a, b)) is given by the equation z = f(a, b) + f_x(a, b)(x - a) + f_y(a, b)(y - b)."
5
"Finding the equation of the tangent plane to a surface allows us to analyze how the surface changes in the vicinity of a specific point."
6
"By considering the tangent plane to a curve, we can approximate the behavior of the curve at a given point."
7
"In computer graphics, tangent planes are used to calculate surface normals and shading in 3D rendering."
8
"When studying the differentiability of a function, the existence of a tangent plane at a point is a crucial criterion."
9
"A tangent plane to a cone intersects the cone in a single line at the point of tangency."
10
"The concept of tangent plane is also applicable in physics, particularly in the study of fluid dynamics and flows."
