Given f(x, y, z) = V5x – 5y + 2z, find fa(x, y, z) =| %3D fy(x, y, z) = f-(x, y, z) =|

Q: dy x +1 xy %3D dx

A:

Q: Given the LP Model Minimize: z = x- y subject to: 4х — Зу s 0 x + y s 10 x,y 2 0

A:

Q: (a) By using thẻ chain rülé and the dérivative (1, (1xl) = {"1, if x>0 if x<0' d %3D dx 1-1, find -…

A:

Q: The integrating factor of + 2.xy= 5x² is dx dy а. b. x2 e 2 C. 1 d. et

A:

Q: Find dy and Ay for y = 3/x –1+ 2x at x = 2 with dr = Ar = 0.2.

A:

Q: Let y= 3x2 +7x+4. If Δx=0.4 at x=2, use linear approximation to estimate ΔyΔy

A:

Q: The integrating factor of the DE 2y(x^2 - y + x) dx + (x^2 - 2y) dy = 0 is O x^2 O 2x O e^x O e^(2x)…

A: This question is based on Differential equation.

Q: 2. 2y (x²-y tx) dx-(x²-2y) dy = 0

A:

Q: Find the integrating factor. C.) ydx+(3x-xy+2)dy=0

A:

Q: Find the particular solution, Using the integrating factor method: dy + In x =-y where y(1) = 3. dx

A:

Q: Find the local extrema and saddle point(s) of f (x,y)=x*y-6y² – 3x² .

A:

Q: The integrating factor of dx dy 2 y= 3x² is а. b. 1 x С. d. 1

A:

Q: Given the function f(x,y) cos 2xーx3eY +āyン COS find te second partial olerivative fxy.

A: Let f(x,y) is the given function.Then  fx is the derivative of f with respect to x taking y as a…

Q: 2. Use the method of Lagrange multipliers to show that for x, y ≥ 0, we have z"+"> (²+)" 2

A: Introduction: For minimizing a multi-variable function under some certain constraint or constraints,…

Q: 2.Find the particular solution of y (9x-2y) dx -x (6x-y) dy=0., when x=1, y=1. Let x=vy

A: Find out the particular solution.

Q: Find the indicated higher partial derivative. a. f(x,y) = 3x5 + 2x³y² + 9xy*; fyxx a²c b. c = In (a…

A: As per our guidelines we are supposed to answer only three subpart of multiple subpart question.…

Q: Find the integrating factor a. (xy+y2)dx+(x2+3xy)dy=0   b. (y2e2x+1)dx+(2ye2x-ex)dy=0

A:

Q: 2. For the same problem, use Lagrange multipliers to maximize the volume V = xyz under the…

A:

Q: An integrating factor of (xy? + 2x?y³) dx + (xy – x'y?) dy = 0 is

A: Given equation (xy2+2x2y3)dx +(x2y-x3y2)dy = 0or y(xy+2x2y2)dx + x(xy-x2y2)dy = 0 here  M…

Q: For f(x,y,z)=3xy+2y+8z - cos(x²+y²–z), the partial derivative fxy(1,2,5)=

A: Given function is fx,y,z=3xy+2y+8z−cosx2+y2−z. We have to find the partial derivative fxy1,2,5.…

Q: The integrating factor of the non-exact DE: ydx – (x + 6y²)dy = 0 is x-2 y-2

A:

Q: Given the function of two variables f(x,v) = In(/x7+y7). The partial derivative with respect to x is…

A:

Q: Find the linear approximation to h(x) = Vx at x = 2. Use the linear approximation t approximate the…

A: Introduction: The linear approximation of a function at a given point is an application of…

Q: The integrating factor of the equation 2y (x + y+ 2) dx + (y: – x: – 4x – 1) dy = 0 is: %3D

A:

Q: What is the integrating factor of the linear DE of order one ydx + (3x – 2y+ 5) dy=0? 1 A x² B y3 C…

A: Given linear differential equation is y dx+(3x-2y+5)dy=0 ⇒dxdy+3xy-2+5y=0⇒dxdy+3xy=2-5y Which is…

Q: Obtain the solution using Integrating Factors Found by Inspection. 1. ydx + 2(y* – x)dy = 0

A: As per our guidelines we can answer only 1 question. So kindly repost the remaining questions…

Q: B. Find the indicated partial derivatives: af af 7. fls.y) = cn{«-y?), y

A:

Q: An integrating factor of (x³y² + x)dy + (x²y³ – y)dx = 0 is (a)수 (b) (c) (d)을 2xy 2x

A: Given differential equation is x3y2+xdy+x2y3-ydx=0

Q: Solve the given optimization problem by using substitution. Minimize S- xy + xz + yz subject to xyz…

A: S=xy+xz+yz  =xyzz+xyzy+xyzx

Q: If f(x, y, z) = 2x5 + 3y5- 8x2y?z?, what is the partial derivative of f with %3D respect to z? fz =…

A:

Q: find the integrating factor (xy2-y)dx + (x2y-3x)dy = 0

A: find the integrating factor (xy2-y)dx + (x2y-3x)dy = 0

Q: Obtain the solution using Integrating Factors Found by Inspection 1. ydx + 2(y* - х)dy %3D 0

A:

Q: Evaluate //| (x + y – 2z) dV where E = {(x, y, z) | - 2 < y < 0,0 < x < y, 0 < z < x + y²}

A: A detailed solution is given below.

Q: Let y = v2x. Determine the point (x, y) that is closest to the point (5, 0). That is, deteremine the…

A: find the minimum distance from a point

Q: . Use the method of Lagrange multipliers to show that for x, y > 0, we have a" +y" > (팔1)" 2

A: We will first try to minimise (xn + yn)/2 using Lagrange multipliers then show that its minimum…

Q: 2. Given the joint pdf of X and Y, fxx(x, y) = { '0" (4xy 0<x< y <1 other wise Find the marginal…

A:

Q: dy _ 2y = x-'y¯1 y(1)= 3 dx

A:

Q: Find the particular solution of y(9x-2y)dx - x(6x-y)dy= 0, when x=1, y=1. To start, let y=vx.

A: The given differential equation isyax-2ydx-x6y-ydy=0, with y1=1It can be written…

Q: By utilizing Gradient Descent where initial x1=x2=Dx3%3D0, What is the approximated min. point of…

A: To find - By utilizing Gradient Descent where initial x1 = x2 = x3 = 0, What is the approximated…

Q: Obtain the integrating factor of (2* y² + v) dæ + xdy = 0 O ary 1

A:

Q: HW: Minimize S{x,y,z)=2x+2x²+3y+1.5y²+z+3z² Subjected to x+y+z=0

A:

Q: B. In each exercise, obtain the particular of solution. (y+ Vx² + y²) dx – x dy = 0; when x = /3, y…

A:

Q: Find the value of x which minimizes: 1 Use the Lagrangian method = [x*)dt min. J s.t. X 3D —2х +4…

A: Given: J=∫01x2dts.t.x˙=-2x+4x0=1x1=0

Q: The integrating factor of the DE (x^2 + y^2 + 1) dx + x(x - 2y) dy = 0 is

A:

Q: Obtain the solution using Integrating Factors Found by Inspection 1. ydx + 2(y* – x)dy = 0

A:

Q: Minimize f(x,y,z) = x + 2y + 4z subject to the condition ** +y“ +z* = 7

A: Hello, thanks for your question .According to our policy I m doing the very first question . Please…

Q: Find the integrating factor of : 2y(x2 - y+ x )dx + (x² – 2y)dy = 0 ху O y 2х e2x

A: