Question

. Given the direction field ⃗n = ⃗r/ r calculate the directional derivative of g(x, y,...

. Given the direction field ⃗n = ⃗r/ r calculate the directional derivative of g(x, y, z) = e ^−ar^2 with respect (along) this direction

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
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
Find the directional derivative of the function at the given point, in the vector direction v...
Find the directional derivative of the function at the given point, in the vector direction v 1- f(x, y) = ln(x^2 + y^2 ), (2, I), v = ( - 1, 2) 2- g(r, 0) = e^-r sin ø, (0, ∏/ 3), v = 3 i - 2 j
Find the directional derivative of the given function where (x,y)=(1,1) in the indicated direction Direction <3,4>...
Find the directional derivative of the given function where (x,y)=(1,1) in the indicated direction Direction <3,4> function=(12)/((x^2)+y)
Find the directional derivative of the function at the given point in the direction of the...
Find the directional derivative of the function at the given point in the direction of the vector v. f(x, y, z) = x2y + y2z, (2, 7, 9), v = (2, −1, 2) Dvf(2, 7, 9) =
Find the directional derivative of the function at the given point in the direction of the...
Find the directional derivative of the function at the given point in the direction of the vector v. f(x,y,z)= x2y3+2xz+yz3 (-2,1,-1) v= <1,-2,2> Use the chain rule to find dz/dt. z=sin(x,y) x= scos(t) y=2t+s3
find the directional derivative of f (x, y) = x ^ 2 in the direction of...
find the directional derivative of f (x, y) = x ^ 2 in the direction of v = i-j for the point (-1,2).
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 >.
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)?
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?
Let f(x y z)=x4y4+z5, P=(4, 4, 1). Calculate the directional derivative in the direction pointing to...
Let f(x y z)=x4y4+z5, P=(4, 4, 1). Calculate the directional derivative in the direction pointing to the origin. Remember to normalize the direction vector. (Use symbolic notation and fractions where needed.) Duf(4, 4, 1)