Question

Let f(x, y) = x2y4. At the point (−2, 1), find the following vectors. (a) in...

Let f(x, y) = x2y4. At the point (−2, 1), find the following vectors. (a) in the direction of maximum rate of change 64 Incorrect: (b) in the direction of minimum rate of change (c) in a direction in which the rate of change is zero

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let f(x, y) = x^2 ln(x^3 + y). (a) Find the gradient of f. (b) Find...
Let f(x, y) = x^2 ln(x^3 + y). (a) Find the gradient of f. (b) Find the direction in which the function decreases most rapidly at the point P(2, 1). (Give the direction as a unit vector.) (c) Find the directions of zero change of f at the point P(2, 1). (Give both directions as a unit vector.)
1. Let f(x, y) = 2x + xy^2 , x, y ∈ R. (a) Find the...
1. Let f(x, y) = 2x + xy^2 , x, y ∈ R. (a) Find the directional derivative Duf of f at the point (1, 2) in the direction of the vector →v = 3→i + 4→j . (b) Find the maximum directional derivative of f and a unit vector corresponding to the maximum directional derivative at the point (1, 2). (c) Find the minimum directional derivative and a unit vector in the direction of maximal decrease at the point...
let f(x,y) = 2xy+4y^2 a) find the rate of change f at the point P(3,2) in...
let f(x,y) = 2xy+4y^2 a) find the rate of change f at the point P(3,2) in the direction of u= [1,3] b) in what direction does f have the maximum rate of change? what is the maximum rate id change?
. For the function f(x, y) = xye^x−y , at the point (2, 2) (a) find...
. For the function f(x, y) = xye^x−y , at the point (2, 2) (a) find the gradient. (b) find the directional derivative in the direction of the vector 3i − j. (c) in the direction of which unit vector is the rate of increase maximum? What is the maximum rate of increase? (d) in the direction of which unit vector(s) is the directional derivative zero?
let f(x,y) = xe^(xy) Find the directional derivative of f at point (2,0) in the direction...
let f(x,y) = xe^(xy) Find the directional derivative of f at point (2,0) in the direction of vector <-6,8>. Find the maximum rate of change of f at point (2,0) and the direction in which it occurs.
the function f(x; y) = xye^x-y, at the point (2; 2) (1)find the gradient. (2) find...
the function f(x; y) = xye^x-y, at the point (2; 2) (1)find the gradient. (2) find the directional derivative in the direction of the vector 3i - j. (3)find the direction of which unit vector is the rate of increase maximum? What is the maxi- mum rate of increase? (4)find the direction of which unit vector(s) is the directional derivative zero?
Find the directional derivative of the function f(x,y)=x^6+y^3/(x+y+6 ) at the point (2,-2) in the direction...
Find the directional derivative of the function f(x,y)=x^6+y^3/(x+y+6 ) at the point (2,-2) in the direction of the vector < - 2 ,2>. b) Also find the maximum rate of change of f at the given point and the unit vector of the direction in which the maximum occurs.
Consider the function F(x,y) = e^(((-x^2)/2)-((y^2)/2)) and the point P(-3,3). a. Find the unit vectors that...
Consider the function F(x,y) = e^(((-x^2)/2)-((y^2)/2)) and the point P(-3,3). a. Find the unit vectors that give the direction of the steepest ascent and the steepest descent at P. b. Find a vector that points in a direction of no change at P.
Consider the function F(x,y)=e^((-x^2/4)-(y^2/4)) and the point P(−1,1). a. Find the unit vectors that give the...
Consider the function F(x,y)=e^((-x^2/4)-(y^2/4)) and the point P(−1,1). a. Find the unit vectors that give the direction of steepest ascent and steepest descent at P. b. Find a vector that points in a direction of no change in the function at P.
Consider f(x, y) = (x ^2)y + 3xy − x(y^2) and point P (1, 0). Find...
Consider f(x, y) = (x ^2)y + 3xy − x(y^2) and point P (1, 0). Find the directional derivative of f at P in the direction of ⃗v = 〈1, 1〉. Starting from P , in what direction does f have the maximal rate of change? Calculate the maximal rate of change
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT