2. [-/16.66 Points] DETAILS Find the directional derivative of the function at the given point in the direction of the vector v. х, у, 2) %3Dхуz (4, 2, 8), v = -1, –2, 2] Duf(4, 2, 8) =

Q: Find the directional derivative of f (x, y, z) = 2z²x + y³ at the point (2, 2, 1) in the direction…

A: Here we have to find the directional derivative for given f(x, y, z).

Q: Find the directional derivative of f (x, y, z) = 2z²x + y³ at the point (2, 1, 1) in the direction…

A:

Q: Find the directional derivative of the function f(x, y) = xy at the point (x, y) = (-4,-6) in the…

A:

Q: Calculate the gradient vector Vf of the function f(x, y) = x² – x + y- x²y – 2y2 at the point (2,1)…

A: According to the given information, it is required to determine the gradient vector of the given…

Q: 3. ezy -x³y + 4 x 9. find the directional derivative of f at the point (1,0) along the direction of…

A:

Q: Find a unit vector that is tangent to the vector function F(t) = at t = 1. Step 1: take derivative…

A:

Q: f(x, 3) = In(x? + Y²òf function P(3,4) at the point of i = (9, 12) Directional derivative in the…

A:

Q: Fix a point P on the line ( and let N be normal unit vector to (. Show 5. (. that if N' is another…

A: Given: A fixed point P on the line l. An unit vector N normal to l.   To show: If N' is another unit…

Q: Find the equation of the tangent line to the vector function r(t) = (1-2 arctan(t), 3e¹−¹², 4ln(t²…

A:

Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

A:

Q: Let u=. (a) Graph u in the coordinate plane, with initial point (0, 0).   (b) Find the length and…

A: (a) A vector u is represented in the plane with initial point Px1,y1 and terminal point Qx2,y2.…

Q: Suppose that over a certain region of space the electrical potential V is given by the following…

A: Given that, Vx,y,z=4x2-3xy+xyz Find Vx,Vy,Vz:  Vx=8x-3y+yzVy=-3x+xzVz=xy Gradient of V at P(6,6,5)…

Q: 5. [6.1] If vector ā reaches from the origin to point (5, –7), determine the magnitude of ā.

A:

Q: Write down the vector equations of the tangent lines to the traces for /(r, 3) = re-y² at (2,0) for…

A: To write the vector equation of the tangent line for the below function to the trace y=0.…

Q: \ Let v = (v, v2) be a direction vector on a line . The number 8 %3D defined to be the slope of the…

A: This is a problem of geometry and vector algebra.

Q: prOpetermne the gradient of the line on each Cartesian plane the following equation show

A: Let's find.

Q: . Use the gradient vector to find the directional derivative of f (x, y) = at x2-y the point (1, 2)…

A:

Q: 18 > (a) Find the direction for which the directional derivative of the function f (x, y) = 7xy² +…

A: