Question

For z=x2-xy2 find: a. the gradient of Z b. the directional derivative in direction of <3,1>...

For z=x2-xy2 find:

a. the gradient of Z

b. the directional derivative in direction of <3,1>

c. the approximation for Δ? when taking a Δs =0.05 step from (1,2) in direction of <3,-1>

d. the approximation to the maximum Δ? possible when taking a Δs =0.05 step from (1,2).

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
Find the gradient ∇f and the directional derivative at the point P (1,−1,2) in the direction...
Find the gradient ∇f and the directional derivative at the point P (1,−1,2) in the direction a = (2,−1,1) for the function f (x,y,z) = x^3z − y(x^2) + z^2. In which direction is the directional derivative at P decreasing most rapidly and what is its value?
f(x,y,z) = xey+z. (a) Find the gradient of f, ∇f. (b) Find the directional derivative of...
f(x,y,z) = xey+z. (a) Find the gradient of f, ∇f. (b) Find the directional derivative of f at the point (2, 1, 2) in the direction of ? = 3? + 4?.
Use the gradient to find the directional derivative of the function at P in the direction...
Use the gradient to find the directional derivative of the function at P in the direction of PQ. g(x, y, z) = xye2z,    P(5, 10, 0), Q(0, 0, 0)
Use the gradient to find the directional derivative of the function at P in the direction...
Use the gradient to find the directional derivative of the function at P in the direction of PQ. f(x, y) = 3x2 - y2 + 4,    P(7, 7), Q(2, 6)
Find the directional derivative of the function f(x,y,z)=ln(x2+y2−1)+y+6z at the point (1,1,0) in the direction of...
Find the directional derivative of the function f(x,y,z)=ln(x2+y2−1)+y+6z at the point (1,1,0) in the direction of the vector v→=i→−2j→+2k→
Find the directional derivative of the function f(x,y,z)=ln(x2+y2−1)+y+6z at the point (1,1,0) in the direction of...
Find the directional derivative of the function f(x,y,z)=ln(x2+y2−1)+y+6z at the point (1,1,0) in the direction of the vector v→=i→−2j→+2k→.
find the directional derivative of f(x,y) = x^2y^3 +2x^4y at the point (3,-1) in the direction...
find the directional derivative of f(x,y) = x^2y^3 +2x^4y at the point (3,-1) in the direction theta= 5pi/6 the gradient of f is f(x,y)= the gradient of f (3,-1)= the directional derivative is:
Consider the hyperbolic paraboloid with equation z = x^2 - y^2. What is the directional derivative...
Consider the hyperbolic paraboloid with equation z = x^2 - y^2. What is the directional derivative when x = 5 and y = 3 in the direction from (5,3) to (8,7)? What is the direction for the maximum directional derivative at (5,3)? What is the maximum directional derivative at (5,3)?
Calculate the directional derivative at point p in the direction a. 1) f (x, y) =...
Calculate the directional derivative at point p in the direction a. 1) f (x, y) = (x ^ 2)*(y); p = (1,2); a ⃗ = 3i-4j 2) f (x, y, z) = (x ^ 3)*(y) - (y ^ 2)*(z ^ 2); p = (- 2,1,3); a ⃗ = i-2j + 2k
a= 1, b =6 , c= 4 T(x,y,z) =(x^2 )y +(y^2 )z Find the directional derivative...
a= 1, b =6 , c= 4 T(x,y,z) =(x^2 )y +(y^2 )z Find the directional derivative of T at the point (a − 1, a, a + 1) along the direction of the vector < a, b, c >.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT