Answer the two parts. Label each your answers
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Answer the two parts. Label each your answers
Find the directional derivative of the function at...
Find the directional derivative of the function at the given point in the direction of vector...
Find the directional derivative of the function at the given point in the direction of vector v. g(x, y, z) = (x + 2y + 5z)3/2, (8, 3, 7), v = 4j - k
2. Find the directional derivative of the function at the given point in the direction of...
2. Find the directional derivative of the function at the given point in the direction of the vector v. g(r,0)=e" sin(0); (0,1/3); v = 3i – 2;
Please answer all or do not answer. Thank you :) The Chain Rule and Directional Derivative:...
Please answer all or do not answer. Thank you :)
The Chain Rule and Directional Derivative: (a) Calculate by the chain rule given F(x,y) = x2 + y’, x = eu+20, y=uv. ov Use the chain rule (chain rule required!) to evaluate the partial derivative. OG where G(x,y) = x2 - y2 ,x=e"cosv, y = e"sinv. ди (c) Find the directional derivative in the direction of v=<12,-5> at (2,2) for f(x, y) = exy_y? and also the directional derivative in...
Suppose f(x, y) = x2 + y2. Find the directional derivative of the function f at...
Suppose f(x, y) = x2 + y2. Find the directional derivative of the function f at the point P(1, -1) in the direction of 7 = -31 + 4. That is, find Dif(1,-1). 5 14 O 14 5 O 14 5 O 5 14
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) = xyz, (4,2, 8), v = (-1, -2, 2) Duf(4, 2, 8) = -4 X
3. Find the gradient ãf and the directional derivative at the point P(1,-1,2) in the direction...
3. Find the gradient ãf 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) = xºz-yx + 2. In which direction is the directional derivative at P decreasing most rapidly and what is its value?
Use a double integral to find the volume of the indicated solid. z z = 8...
Use a double integral to find the volume of the indicated solid. z z = 8 - 2 y у N y=2 4 x=4 Find the directional derivative of the function at P in the direction of v. g(x, y) = x2 + y2, P(7, 24), v = 5i - 123 X Submit Answer
12. (5 points) (a): Find the directional derivative of f(x, y) = y² In r at...
12. (5 points) (a): Find the directional derivative of f(x, y) = y² In r at P(1,4) in the direction of u = -3i + 3j. (b): Find the equation for the tangent plane and normal line to the surface cos(70) – z’y+e*2 + y2 = 4 at P(0,1,2).
a) Find and sketch the domain of f b) Find ) c) Find the directional derivative of f in the direction of 3i +4j at (2,3) d) Find an equation of the plane tangent to the surface-f(z, y) at (2,3,3)...
a) Find and sketch the domain of f b) Find ) c) Find the directional derivative of f in the direction of 3i +4j at (2,3) d) Find an equation of the plane tangent to the surface-f(z, y) at (2,3,3)
a) Find and sketch the domain of f b) Find ) c) Find the directional derivative of f in the direction of 3i +4j at (2,3) d) Find an equation of the plane tangent to the surface-f(z, y) at (2,3,3)
Find the directional derivative of the function at the given point in the direction of vector v. g(x, y, z) = (x + 2y + 5z)3/2, (8, 3, 7), v = 4j - k
2. Find the directional derivative of the function at the given point in the direction of the vector v. g(r,0)=e" sin(0); (0,1/3); v = 3i – 2;
Please answer all or do not answer. Thank you :)
The Chain Rule and Directional Derivative: (a) Calculate by the chain rule given F(x,y) = x2 + y’, x = eu+20, y=uv. ov Use the chain rule (chain rule required!) to evaluate the partial derivative. OG where G(x,y) = x2 - y2 ,x=e"cosv, y = e"sinv. ди (c) Find the directional derivative in the direction of v=<12,-5> at (2,2) for f(x, y) = exy_y? and also the directional derivative in...
Suppose f(x, y) = x2 + y2. Find the directional derivative of the function f at the point P(1, -1) in the direction of 7 = -31 + 4. That is, find Dif(1,-1). 5 14 O 14 5 O 14 5 O 5 14
Find the directional derivative of the function at the given point in the direction of the vector v. f(x, y, z) = xyz, (4,2, 8), v = (-1, -2, 2) Duf(4, 2, 8) = -4 X
3. Find the gradient ãf 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) = xºz-yx + 2. In which direction is the directional derivative at P decreasing most rapidly and what is its value?
Use a double integral to find the volume of the indicated solid. z z = 8 - 2 y у N y=2 4 x=4 Find the directional derivative of the function at P in the direction of v. g(x, y) = x2 + y2, P(7, 24), v = 5i - 123 X Submit Answer
12. (5 points) (a): Find the directional derivative of f(x, y) = y² In r at P(1,4) in the direction of u = -3i + 3j. (b): Find the equation for the tangent plane and normal line to the surface cos(70) – z’y+e*2 + y2 = 4 at P(0,1,2).
a) Find and sketch the domain of f b) Find ) c) Find the directional derivative of f in the direction of 3i +4j at (2,3) d) Find an equation of the plane tangent to the surface-f(z, y) at (2,3,3)
a) Find and sketch the domain of f b) Find ) c) Find the directional derivative of f in the direction of 3i +4j at (2,3) d) Find an equation of the plane tangent to the surface-f(z, y) at (2,3,3)
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