1. L(-1;3), M(7 ;1) and N(x ;2) are points in a Cartesian plane. Calculate x if: 1.1 the gradient of MN is 1.2 N is the midpoint of LM. 1.3 the length of MN is v2 units.

Q: Calculate the gradient of h(x, y, z) = 1 1 y3 z2 1 Vh =

A: Given: h(x,y,z)=1xy3z2To find the gradient of h(x,y,z)i.e., ∇h=?

Q: A. Find the gradient of f. Vƒ = i+ j Note: Your answers should be expressions of x and y; e.g. "3x -…

A: Given that fx,y=xy.....(1), P=(2,1) and v→=-3 i^- j^. To find: (a) ∇f             (b) ∇f at P.…

Q: Determine the gradient of the lines on each Cartesian plane: 22 a. + Draw labeled YA # N & A (3) Fot…

A:

Q: 4. If A is the point with coordinates (1, 4). B is the point with coordinates (7, 22). Find the…

A:

Q: B. Find the gradient of the function at the given point. S(x, y, z) = (x² + y² + z?)i+ In (x y z)

A:

Q: UCLUI and BC. 21 The point (h, k) lies on the line y = x +1 and is 5 units from the point (0, 2).…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Ohm's law states that the voltage drop Vacross an ideal resistor is linearly proportional to the…

A: Given,A curvilinear relationship between i and V in the form of data.We need to fit a curve to the…

Q: 3 -x ² y ² 2 Given z=f(x,y) = e For (1,-2), estimate use f(0.9,-1.05), Show all work & YOU…

A:

Q: The temperature at a point (x, y, z) is given by T(x, y, z) = (x + y)² + (y + 2)² + (x + 2)² where…

A: Given: Temperature  is given by Tx , y, z=x+y2+y+z2+x+z2 To Find : a) Direction in which the…

Q: Compute the gradient of the function at the given point. f(x.y) = - 4x + 9y, (-8,-4) O A. - 256i -…

A: Solve the following

Q: L(-1;3), M(7;1) and N(x; 2) are points in a Cartesian plane. Calculate x if: 1.1 the gradient of MN…

A: Given Information - The point given are - We have to find the value of 'x' is, 1.4) The line MN is…

Q: 2. Find the values of k if the points (0,0), (2, 3k) and (4k, 6) are collinear. 3. The line joining…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: First, compute the gradient of the function p(x,y) = √22-3x² - 4y². Then evaluate it at the point…

A: p(x,y)=22-3x2-4y2∇p(x,y)=<∂p∂x,∂p∂y>∂ ∂x(xn)=nxn-1

Q: A student plot a graph for a physical quantity, Q on axis-y against a physical quantity ,R on axis…

A:

Q: Find the gradient of ?:V x²+y²1Z²

A: Gradient of a function f(x,y,z) is given by ∂f∂xi  ∂f∂yj + ∂f∂zk

Q: Find the gradient of the line joining the points: (0,0), (–2, –3) A E -3 3. B 3 F 2 C -1 H 112 113

A:

Q: AB is a tangent. Work out the gradient of line AB and the area of trian (3,5)

A: We know, if a line passes through x1,y1 and x2,y2 then the equation of the line is…

Q: For what values of x will the curve of y = x(x² – 12) has zero gradient? %3D

A: