
The Directional Derivative and the Rate of Change:
The Directional Derivative and the Rate of Change: When calculating the directional derivative of a function, we are obtaining the rate of change of a function since it is related to the gradient of the function and the gradient of the function is composed of the partial derivatives.
Find the rate of change of f(x, y, z) = xyz in the direction normal to ...
Answer to: Find the rate of change of f(x, y, z) = xyz in the direction normal to the surface yx^2 + xy^2 + yz^2 = 75 at (1, 5, 3).
mean and variance: - Homework.Study.com
mean and variance: Mean is defined as the weighted average of the possible values that the random variable can take.
Use Stokes' Theorem to evaluate int C F cdot dr where C is …
Stokes theorem:: The line integral of the tangential component of a finite and differentiable vector around a simple closed curve C is equal to the surface integral of the outward unit normal component of a curl of the vector function over any surface S having as its boundary.
Find the center of mass and the moment of inertia about the y …
Find the mass, the center of mass and the moment of inertia about the x-axis of a thin plate bounded by the parabola x=y-y^2 \ and \ the \ line \ x+y=0 \ if \ the \ density \ is \ \delta \ (x,y)=x+y
Find the center of mass, moment of inertia, and radius of gyration ...
(a) Calculate the moment of inertia of a solid cylinder of mass 4.21 kg and radius 8.9 m about an axis parallel to the center-of-mass axis and passing through the edge of the cylinder.
Use Stokes' Theorem to evaluate int_CF dr, f(x,y,z)=xyi+yzj+zxk, C …
Use Stokes' theorem to evaluate integral over C of F dot dr when F = (x, y, x^2 + y^2) and C is the boundary of z = 1 - x^2 - y^2 in the first octant.
List the points in the xy-plane, if any, at which the function z = e ...
List the points in the {eq}xy {/eq}-plane, if any, at which the function {eq}z = e^{\frac{-y}{x^2+y^2}} {/eq} is not differentiable.
Using only your brain, draw a contour map for the function z = f(x, …
Using only your brain, draw a contour map for the function {eq}z = f(x, y) = \frac{y}{x^2 + 1}. {/eq} Show level curves for z-levels of {eq}-2, -1, -\frac{1}{2}, 0 ...
What is the general solution to - Homework.Study.com
Answer to: What is the general solution to frac{dy}{dx} = frac{2y^3 + yx^2 - 2x^3}{2y^2x}? By signing up, you'll get thousands of step-by-step...