Find a potential function (if exits) for the vector field: a) vector F = (xz - y) vector i + (x^2 y + z^3) vector j + (3xz^2 - xy) vector k b) vector F = 2x e^{-y} vector i + (cos(z) - x^2 e^{-y}) ve ...
34K This lesson explores differential calculus. It defines a differential and delves into the many uses of differential equations. Related to this Question Find y" for the following function. Y = sin, x ,cos, x y" =\Box Find \frac{d^2y}{dx^2} for...
How to find the limit of functions in calculus. Step by step examples, videos and short definitions in plain English. Calculus made clear!
Find the gradient vector for the scalar function. (That is, find the conservative vector field for the potential function.) f (x, y) sin 9x cos 3y 3. Determine whether the vector field is conservative. G F(x, y) 9 y2 7 yˆi xˆj) A) Conservative B) Not Conservative 4....
Tutor Specializing in French & Math (up to college Pre-Calculus) About this tutor › Hello Anika, I sincerely apologize, I had it wrong previously. Please find the edited version here. 1st: the domain of f(x) is (-∞, 3]; the range of f(x) is [0, ∞). Keep in mind: Th...
The tangent to a curve is a straight line that touches the curve at a certain point and has exactly the same slope as the curve at that point. There will be a different tangent for each point of a curve, but by using calculus you will be able to calculat
How to Find the Derivative of a Function Using the Limit of a Difference Quotient: Example 1 Find the first derivative of f(x)=2x−3. Step 1: Identify our function. The function that we are finding the first derivative of is f(x)=2x−3. Step 2: Find...
and By the Fundamental Theorem of Calculus, we get... {[(x^2)/2] + 4x} in which we first substitute the upper limit, 3, and from this result, we Subtract the result of the substitution of the lower limit, 1. That is {[(3^2)/2] + 4(3)} – {[(1^2)/2] + 4(1)} ...
The definition of a potential function is what I have given you above. At least for Physics. Perhaps Calculus has a slightly different interpretation. Is it possible that you are trying to show that you are trying to construct a function F(x, y) such that ∂F∂x=∂F...
Pretty close! We have that 1 spare, so we’ll break that into a fraction, giving us a mean average of 65.2. This idea of redistribution helps clarify the average value of a function or the average rate of change in calculus. Average value of a function is the y-value we’d have if...