Question 4 Find the gradient of the function at the given point. w = 2x - 4yz+z², (1, 1, −2) 21+ 181-6k O6i+ 141-8K O 41+ 101-8k O 41+ 10j-6k O 21+ 10j-8k

Q: Suppose that the position function of a particle moving on a coordinate line is given by s(t) = 1³ -…

A:

Q: What is the gradient of the function f(x) = -x² %3D A -x? E -2x C 2x H -1 1

A:

Q: f(x, y, z) = x-y y²+2y+z²-4

A: We have shown that the domain is all of R3 except the points on the surface of infinite length…

Q: Use Lagrange quadratic polynomial to estimate the value of y at x = 1.5 from the data points (0,…

A: The given data points are (0, -1), (1, -1), (2,7).  We know that the Lagrange quadratic polynomial…

Q: f (x) = x2 – 2x + 2 | P 3 3+h an expression for the gradient of the line joining the points, P and…

A:

Q: Let f(x,y) 7x- 2y + 4. Find the following values of f(x.y) for the given coordinates. (a) f(2, - 1)…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

Q: (a) If L and t are linearly related, express L in terms of t. (b) What is the daily increase in the…

A: Note: According to our guidelines, we have to answer first three subparts only. Please repost the…

Q: Determine the magnitude and direction of the largest change 2 2 (x² + y²)z at the point M (1, -2,1).…

A: Introduction How sharply a curve rises determines its magnitude. It is simplest just examine the…

Q: Let f(x,y) = 8x - 2y + 5. Find the following values of f(x,y) for the given coordinates. (a) f(2,…

A: Let's find value of given function.

Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

A:

Q: Select the option that gives a list of the stationary points of the function f(x, y) = x³ – 3x² –…

A:

Q: How can you display the values of a function ƒ(x, y) of two in-dependent variables graphically? How…

A: For a  function ƒ(x, y) of two in-dependent variables. It can be plotted graphed using 3d plotting…

Q: Find the gradient of the function y = x³ + x² – 2x at points where - a. It crosses the x -axis b. It…

A:

Q: Find the gradient function for: 21y-

A:

Q: Find the equation of the line passing through the point (-1, 3) and has a gradient of 5 Select one:…

A: The equation of a line is the relation between the variable y and the corresponding variable x. The…

Q: Find all points at which the direction of fastest change of the function f(x, y) = x² + y - 4x - By…

A:

Q: A non-linear function is given by f(z) = a²-1 Where a is a constant. a) Obtain the linearized form…

A: