Question

Asked Feb 7, 2020

1 views

find ∇f at the given point. ƒ(x, y, z) = (x2 + y2 + z2)^(-1/2) + ln (xyz), (-1, 2, -2)

Step 1

Given function is

Firstly, we find all first order partial derivatives of f

Step 2

Now, we find the value of these partial derivatives of f at point (-1,2,-2)

Step 3

We know that gradient of f is defined as

Now, at (-1,2,-2), gradient of f is

...Find answers to questions asked by student like you

Show more Q&A

Q: In Exercises 5–10, find an appropriate graphing software viewing window for the given function and u...

A: 5) Consider the function and draw the graph using "DESMOS" graphing software. The y-intercept of the...

Q: Find the general solution to the given differential equation. (Use C for the constant of integration...

A: Consider the given differential equation.

Q: Use the Divergence Theorem to find the flux of F = xy2i + x2yj + yk outward through the surface of t...

A: Click to see the answer

Q: What is the Fundamental Theorem of line integrals? Explain how it relates to the Fundamental Theorem...

A: Click to see the answer

Q: find the specific function values.ƒ(x, y) = sin (xy) a. ƒ(2, pai/6) b. ƒ(pai, 1/ 4 )

A: a) Plug x=2 and y=pi/6 and then simplify

Q: F(x) = .62/x^1.1G(x) = .62/x^0.9

A: (b) Consider f(x) = .62/x^1.1 where 1≤x≤t

Q: Revenue Function for Sports Watches The demand function for a certain brand of sports watch is give...

A: Consider the demand function for a certain brand of sports X is the quantity demand per week To c...

Q: Find the flux of the field F = y2i + xzj - k outward (normal away from the z-axis) through the cone ...

A: Definition:

Q: Find the area of the elliptical region cut from the plane x + y + z = 1 by the cylinder x2 + y2 = 1

A: Click to see the answer