6x + 17y df f f(x,y) then i : 6x 17y ду 204x (6а — 17у)? - 204x - (бх — 17у)? 204x (6x + 17y)² 204x - (6x + 17y)²

Q: Find: that: fl4) = -8 f'(4)= -8 %3D glx)=r

A: Given: g(x)=x f(x)f(4)=-8f'(4)=-8

Q: y2 = 20x О А. (5,0), х - -5, у-аxis В. (5,5), х%3D5, х-аxis С. (5,0), х%3D — 5, х-аxis D. (0,5), y…

A: Given query is to find the the focus , directrix and symmetry for the parabola.

Q: 19. -2r + y + 6z = 1 %3D 3x + 2y + 5z = 16 7x + 3y - 4z = 11

A: Given that, the linear equations are, -2x+y+6z=1             ⋯13x+2y+5z=16           ⋯27x+3y-4z=11…

Q: Find fxy(x,y) if f(x,y) = (x5 +y³) 7. fxy(x,y)=

A: Concept: Partial derivatives: In differential geometry and vector calculus, the partial derivative…

Q: -5r2 -2r3 +4r5 -2r6 %3D -#4 +5xs +5xg = -522 -8rs +4r6 = 22 +s +t tu 240

A:

Q: Q4: If f (x,y,z) = x?y³ – y²z³ then fy = %3D -

A: Given,           fx,y,z=x2y3-y2z3

Q: 7. (D² - 2D + 2)y = 0 8. (D² + 9)y = 5e* - 162x 9. (D² + 9)y = 5e% - 162x?

A:

Q: х — у + 2z — 2х + у — 2z - 2w 3 —2 w = -1 - - | -x + 2y – 4z + w = 1 3x 3w = -3

A:

Q: 1. (D³ + 3D² - 4D - 12)y = 0 2. - d'x 19+ 30 = 0 dt3 dt 3. (4D4 - 8D³ - 7D² + 11D + 6)y = 0

A: 1). From the given differential equation; D3+3D2-4D-12y=0 So, The auxiliary equation is:…

Q: Calculate Vf when f 3x z-y7+ 4x'y+ 2x - 3y-5 at the point (1, 1, 0).

A:

Q: f(x, y) = 8x3 6x2y3 + 7y4 -

A: Given data:     The given function is: f(x,y)=8x3-6x2y3+7y4.   The expression for the partial…

Q: -3z = 1 2x+ 2y+ z = 22 3x + y-2z 20

A:

Q: f (x, y) = x+ 5y 2 +y = 25,

A:

Q: Solve for fx(-9, 9) and fy(-9, 9). f(x, y) = 5x2 + 8xy + 4y2 + 6x − 9y; (−9, 9)

A: Given:fx,y=5x2+8xy+4y2+6x-9yTo find:→fx-9,9→fy-9,9

Q: V 96x-x² 48 9Vx2+y2 dydx =

A: Refer to the figure shown below:

Q: Find fxy(x,y) if f(x,y) = (x5+y³) 7. fxy(x,y) =

A:

Q: Max Z = 2x, txzt 3> %3D Subj fo : ,+ Xュ + 2X。 5

A: Introduction: The solution associated with a dictionary satisfies all of the equational constraints,…

Q: 4. y = (4t2 - t)(t³ – 8t² + 12) 5. h(z) = (1+ 2z + 3z?)(5z + 8z² – z³) %3D - %3D

A: To differentiate the following functions.4 y=4t2-tt3-8t2+125 hz=1+2z+3z25z+8z2-z3

Q: V4-x2 i * " 4-x2-y2 Jx²+y² ydzaydx 1-

A: As the limit of the integration of y and z are function of x and x,y respectively. So to find the…

Q: GiNen Y+ 3y -22 こ4 what is the value of - - マ+ メと 2y +3z = -1 X +y tz?

A:

Q: Se-2t if 0 3,

A:

Q: 2, y(t) = 4t – 6 y(t) = t - 5 5, y(t) = 4t (t) = 4t – 5

A: We have to choose the correct answer

Q: If f(x,y,z) = 3zy²e* , grad f =

A: Here we have to find gradient of given function f(x, y, z).

Q: Find f2, fy, and f.- f(x, Y, z) = (4x² + 6y² + 3z²)¯05 fz = fy = f. =

A:

Q: the of olution using simplex me Max z = 8x, + 10x, + 7x3 s.t: 4x + 6x3 + 3x3 S 60 7x, + 2xz + 5x, S…

A: In this question, the concept of Linear Programming is applied. Simplex Method An approach to…

Q: II. Verify that ду дх дх ду 3 2 2. f(x, у) %3Dх'у? — ху 'y² – xy ³

A: Given function: Now,

Q: Operator 1/f(D) 5. (D2 + 16)y = 4sin3xcosx 6. (D – 1)²y = 3cosh²x

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

Q: [2x + 4y – 5z = -8 x + 5y + 2z = -1 (3х + Зу + 3z %3D 15 17)

A:

Q: 3 (x²-2y+xz) dydzdx = 0. -2 1

A: see 2nd step

Q: X + y + z = 11 X - y + 5z = 17 5x + 5y + 5z = 19

A: See the details solution in below

Q: f (z) = VE g (z) = V5x - 4 %3D

A:

Q: 2y + z = 1 29. у + 2z 3D 5 y (x + y + 3z = 8

A:

Q: Solve the system of linear equations.

A: Solve as matrix equation AX=b

Q: 2х + у + 3z %3D 9 - 7z = 10 51. -X Зх + 2y — z = г %3D 4

A: Consider the given information: The linear system of equation is given by, 2x+y+3z=9…

Q: Suz z², Y > x², y + 2x – 3 < 0

A: The given system of the inequalities is: y≥x2,y+2x-3&lt;0   The equation y=x2 represents the…

Q: b) f(x, y)=-2x². + 8x − 3y² + 24y + 7

A:

Q: Solve the system.

A: 2x+y=6 .......(1)x-3y=17 .........(2)3x+2y=7............(3)Multiply equation 1 by 3. We get,6x+3y=18…

Q: واجبات اوجد الكل م ما ياني o y = 2t2 + 1, t 5x r2 + 1 y = r = 6x O y = V2u, u = 2Vx

A:

Q: Calculate Vf when f 3x 2- y z' + 4x'y + 2x - 3y - 5 at the point (1, 1, 0).

A:

Q: 2x + y 5z - 4y Find the total ditferential. W = 5z + 8x 10x + 5y 2 -x+ 5z – 4y dw = (5z – 4y)2" (5z…

A:

Q: Q4. Calculate div F where F = grad(x' + y³ + z³ - 3xyz).

A:

Q: Solve the system.

A: Solve the system.

Q: u³ = a²t , find d’u %3D dt3 2a4 а. 9u5 10a6 27u8 -10a6 С. Zu® 40a6 d. U8 b.

A: A detailed solution is given below

Q: Suppose that f(x, y) = 32 y at which {(x, y) | æ² + y² < 3²}.

A:

Q: Find f(-5e3* + VE)dt

A:

Q: f (x, y) = x² + 3y² + 4,

A: Supposing the question is asking to find the local minima value.

Q: Find fxy(x,y) if f(x,y) = (x5 +y³) 7.

A:

Q: Find fxy(-5, 0), if f(x, y) = 3x3y2 - 3x4 + 5xy3.

A:

Q: 2r + y – 2z = 12 47. {-x – y + z = -6 3x + y – 3z = 18 %3D

A: Problem 47: Dependent equation is said to be dependent when the system of consistent has many number…