2 Find the gradient of a line which is perpendicular to each of the following lines: a y=-3x+ 11 +2y 0 4 c y=-3 2(x-1) d y=

Q: Find the gradient of the function at the given point. g(x, y) = 12xev/x, (6, 0) Vg(6, 0) =

A: Formula Gradient of function f(x,y) ∇f(x,y) = fx(x,y)i + fy(x,y)j Where  fx is partial derivative…

Q: Find the gradient of the function at the given point. g(x, y) = 12xe/x, (8, 0) Vg(8, 0) =

A: Given,           gx,y=12xeyx , 8,0To find : Find the gradient of the function at the given point.

Q: The line with equation 7x + 5y – 4 = 0 (a) Cuts the x-axis at the value x = (a) Cuts the y-axis at…

A: The equation of the line is: 7x+5y-4=0 The problem can be solved as follows:

Q: Find the gradient of the function f(x,y) = 4y - 9x at the point (9,3). Then sketch the gradient and…

A:

Q: The line 3x + 2y +14 0 has a gradient of and y-intercept of Where appropriate, give your answer as a…

A:

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

A:

Q: Find the gradient of the function at the given point. g(x, y) = 18xe/x, (10, 0) Vg(10, 0) =

A:

Q: Find the gradient of the function at the given point. f(x, y) = 5x + 3y2 + 5, (1, 5) Vf(1, 5) =

A:

Q: The line with equation 2x + 4y +7 =0 (a) Cuts the x-axis at the value x (a) Cuts the y-axis at the…

A: Given that: 2x+4y+7=0

Q: Find the gradient of the function at the given point. g(x, y) = 18xe/x, (18, 0) vg(18, 0) =

A:

Q: Find the gradient of the function at the given point. g(x, y) 11xe/x (13, 0) %3D Vg(13, 0) =

A: Gradient

Q: Find the gradient of the function f(r, h) : 2rrh + r2 at the point (2, 3). Vf(2,3) =

A:

Q: Find the gradient of the function at the given point. f(x, y) = 2x + 5y2 +6, (3, 1) Vf(3, 1) = 2i+…

A:

Q: Q.4 (a) Calculate the Gradient, . F (x, y, z) =- x+ y+ z ·j+ x+ y + z x+ y+ z

A: The gradient of a vector function F→(x,y,z)=f1(x,y,z)i^ +f2(x,y,z)j^+f3(x,y,z)k^ is given by…

Q: Find the gradient of the function at the given point. g(x, y) = 11xe/x, (4,0) Vg(4, 0) =

A:

Q: Sub Yに3yこ1 passes through the point (3, 1), where its gradient is ax +b 3 Ify = 1-2x find the value…

A:

Q: Find the gradient of the function f(x,y) = /4x+2y at the point (- 1,4). Then sketch the gradient…

A:

Q: First, compute the gradient of the function p(x,y) = /13- 2x - 3y. Then evaluate it at the point (-…

A:

Q: Find the gradient of the function at the given point. f(x, y) = 4x + 5y2 + 4, (3, 4) %3! Vf(3, 4) =…

A:

Q: Find the gradient of the following function. 3 f(x, у) %3 5x° - ху Vf(x, y) =

A: Gradient of f(x,y) is given by∇f(x , y) = i⇀ ( fx ) + j⇀( fy )

Q: Find the gradient of the function f(r, h) = 2xrh + xr² at the point (2, 2). V f(2, 2) =

A: Given,   f(r,h)=2πrh+πr2

Q: Find the gradient of the function at the given point. f(x, y) = 4x + 5y + 1, (1, 3) %3D Vf(1, 3) =

A: ∇f = <∂f/dx, df/dy> ∂f/dx = 4 df/dy = 10 y

Q: Given the function z= f(x, y) = ln(x² + xy - y²), find the following: a) Find gradient at the point…

A: As per our guidelines we are supposed to answer only first three subparts of the question. Kindly…

Q: Find a gradient of the equation: F(x, y) = y + x³ – ay? + 3 %3D VF =?

A:

Q: find the gradients of the functions below a)f (x, y, 2) = ye* + 22 in P(0, 2, :

A:

Q: What is the gradient of f=x^2+y^2-2xy-x+3y-z=-4 ?

A:

Q: Find the gradient of the function at the given point. f(x, y) = 2x + 4y2 + 1, (1, 5) Vf(1, 5) =

A:

Q: Find the gradient of f(m, n) = m³ +n³. grad f = i +

A:

Q: Calculate the gradient. h(x, у, 2) %3 хуz7 Vf =

A:

Q: Find the gradient of the function at the given point. f(x, y) = 5x + 2y2 + 4, (4, 2) Vf(4, 2) = %3D

A: To find the gradient of the function at the given point.fx, y=5x+2y2+4, 4, 2∇f4, 2=?

Q: A line I has a gradient of m₁ = Which one of the following lines will intersect I at right angles? 4…

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: , Suppose f (x, y) = 4, P = (3,2) and v = 3i – 2j. - A. Find the gradient of f. (Vf)(x, y) : i+ j…

A: As per the company guidelines we can solve first three parts . I hope that the given solution will…

Q: 1. Find the Gradient of the following a. F, = x'e" - y': b. F, = 4x' - 3y +5=?

A: Solution is given as below:

Q: Find the gradient of the function at the given point. In(x2 – y) – 9, (3, 8) z = Vz(3, 8) =

A: use partial derivative for finding the gradient.

Q: Find the gradient of the function at the given point. g(x, y) 6xey/x, (1, 0)

A:

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

A:

Q: Find the gradient of f (x, y) = 2xy² – 3x°y.

A:

Q: Find the gradient of the function at the given point. g(x, y) = 12xe/x, (12, 0) Vg(12, 0) =

A:

Q: Find the gradient of the function at the given point. f(x, y) = 2x + 5y2 + 10, (3, 4) Vf(3, 4) еBook

A:

Q: First, compute the gradient of the function p(x.y) /29-4x -y. Then evaluate it at the point (-2,2).…

A:

Q: Determine the gradient of following functions at the given points: (t) = (2t7 + P t-2)² + (6vt – 5)…

A:

Q: Choose the gradient of f(x, y) = x²y³. (a) 2xi +3y²j, (b) (c) 2xy³i+3x²y²j, (d) x²i+y³j, y³i+x²j.

A:

Q: Find the gradient of the function at the given point. 2 = In(x2 – y) - 9, (2,3) Vz(2, 3) = Need…

A: This is a problem related to derivation. Please follow the procedure given below for solution.

Q: First, compute the gradient of the function f(x.y) = 3+ 3x - 7y. Then evaluate it at the point (-3,-…

A: Given:      f( x , y ) = 3 + 3x2 - 7y2      Point : ( -3 , -4)

Q: Find the gradient of the function f(x,y) = 9y – 3x at the point (6,8). Then sketch the gradient and…

A:

Q: (a) Find the gradient, x and y intercepts for the equation, x = y + 2.

A:

Q: Find the gradient of the function at the given point. g(x, y) = 20xeY/x, (9, 0) %3D Vg(9, 0) =

A: We can find the gradient as below.

Q: For curve with equation f(x) =x²(x² – 1) find a. The coordinates where its gradient is zero b. The…

A: The gradient of a function f(x) is given by its derivative w. r. t to 'x' that is f'(x).  The…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.