GRAD, DIV, CURL, V, DIRECTIONAL DERIVATIVE Let f = zy + yx, v = [y, z, 4. - x], w = [y, z?, x2]. Find | 38. div v, div w

Q: Use the above formula to write each of the following limits as an integral (a) 53 + n3 lim n00 j3=…

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Q: Let A be a diagonalizable matrix, with characteristic polynomial det(AI – A) = (A – c)" for some…

A: Diagonalization of the matrix

Q: Consider the function g defined by 1 g(x, y) = cos (Tx /y) + log3 (r y) In what direction does g…

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Q: II. Consider the function g defined by 1 g(1, y) = cos (7IVT)+ log3(r – y) Do as indicated. g 1.…

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Q: Solve the differential equation using Bernoulli equation xy' - y = xkyn

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Q: 8) (D + D,)'u = 0 %3D

A: Given  Dx2+Dy2u=0              (1) This is the irreducible homogeneous partial differential equation…

Q: 13. A law firm is run by four partners (A, B, C, and D). Each partner has one vote, and decisions…

A: Let us solve the given problem step by step  The coalition is with A and the senior partner wins Let…

Q: Show that the function f defined by (x, y) = (1, –1) f(r, y) = { 22 + y (x, y) # (1, –1) r+y is not…

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Q: Vhat is the domain of f(x) =| ?

A: To find The domain of f(x).

Q: distance between point Al2,4) Perpendicular on the line L:3y=3+X is solution:- 1) 149.3 2) 53,41 3)…

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Q: Q1: Determine the coordinates of point N (zero, ?, ?) located on the line AB where: A(-4,5,6) В…

A: Now to obtain the equation of a line passing through points A(x1, y1, Z1) and B(x2, y2, z2) we have…

Q: Let D-{tx.y.2) : 2+y?s2s 1, z2 o}. Evaluate z dv.

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Q: 2. a – 2y + z = -6 2x – 3y –- z = 11 -x + 4y – 3z = 28

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Q: Before we graph y = tan(0), let's figure out some things that must be true. 1. Explain why the graph…

A: We have to solve given Questions.

Q: Find the convolution of the two functions: f (t) = 2t and g(t) Cos 3 t. %3D

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Q: y" + 9y = 40e*; y(0) = 5, y'(0) = -2.

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Q: 3. Consider the following formula f(x) = lim no g" + 1 Let D = {x € R : f(x) E R}. Calculate f(x)…

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Q: 4.1.8. Determine «(G), K'(G), and 8(G) for each graph G drawn below.

A: Vertex Connectivity: κ(G) is the minimum size of a vertex set S s.t. G\S is disconnected. Edge…

Q: Find the Fourier series representation of sin 2x, -n <x < -1/2 -1/2 < x < 0 sin 2x, 0 < x <n. f(x) =…

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Q: Find the volume of the solid under the plane z = 3x + y and above the region determ

A: Given the plane                       z=3x+y and                y=x7,  and   y=x

Q: what is K-connected of a graph ? And give an example

A: Definition: A graph is said to be K- connected graph or K edge connected graph if after removed less…

Q: Solve for the area bounded by the curves. Draw the curves and show computation of POI and…

A: This is the application of the Integral Calculus.

Q: Answer was off by a factor of 2, where does that come from?

A: Where does that factor 2 come from ?

Q: 4.1.17. Prove that deleting an edge cut of size 3 in the Petersen graph isolates a vertex.

A: Edge Connectivity: λ(G) or κ′(G) is the minimum size of edge set F s.t. G\F has more than one…

Q: ifr = 8 sece then the cartesian equation is x^2+y^2=8 O x-8 O y=8 O Non of the above O…

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Q: Q3: Construct a 3rd order Lagrange polynomial of the function f(x) = lnx.cosx where x e [1, 4]. Then…

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Q: SOLVE TOTAL DIFF.. EQUATION. (x+2)²dy + y² (dx+dz) =0

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Q: CatX dy す文 Suix - 00

A: To solve the given differential equation.

Q: Sea F(x,y) =2x^2 + y^4 - 4xy I find maximum and minimum critical points soddle point

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Q: Hicw) ņ १ ि भ३७,१) (१)

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Q: 8) (D + D,)'u = 0 %3D

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Q: II. Military Clock 1. 58 hours after 2300 2. 18 hours after 0900 III. Days of the Week 1. Today is…

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Q: Solve the following differential equation Integrating Factor by Inspection: 1.…

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Q: Find the volume of the solid generated when the plane region bounded by x = y? and x + y = 2 is…

A: To find the volume of the solid generated when the plane region bounded by  x=y2 and x+y=2 is…

Q: Work Problem 2[ a) Determine whether the series 11n? + 8n + 32 is n3 + 3n2 – 7n + 1 n=1 convergent…

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Q: Linear Programming A. Graph each system of linear inequalities. 1. 2. В. Graph the feasible region…

A: Let the LPP be max z=100x+300y subject to x+2y≤32x+y≤24x,y≥0 Here linear inequalities are…

Q: (x,y) = √x −y. 1. Find the domain and range of f. 2. Draw a contour map of f for k = −1,0,1. 3.…

A: This is a problem of multi-variable calculus.

Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

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Q: F = [r. -x, 0]. = [y. -X, S: 3r + 2y + := 6, x2 0, v 2 0, z 2 0

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Q: Paola's Typing 3200 2400 1600 800 20 40 60 Number of Minutes Which statement about the relationship…

A: Answer is B. Number of words is a dependent quantity as it depends on number of minutes.

Q: use the Euclid's algorthim to find the inverse for 76 mod 83

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Q: I need answer within 20 minutes please please with my best wishes

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Q: lve the following first order differential equations (

A: Given,          (x-2y)dy+ydx=0

Q: 2 x y'y"=(y')

A: According to guidelines i solve first question only so kindly request you to repost the remaining…

Q: れ ポ+パ lim (nj)2 +n4 00+-u j=1

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Q: (a) ( Evaluate the triple integral SI: z dV, where E E={(x,y.z):0<x<2,0<y<2.0<zく3).

A: Given integral is Part (a):-  ∭E z dV Here,  E= x, y, z :  0≤x≤2,   0≤y≤2,  0≤z≤3

Q: ppropriate technique

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Q: . The population of rabbits in an island at the beginhling of 2020 was 1000. a. The population has…

A: Solution

Q: Determine a possible exponential function E such that E(1) = 4 and E (2) = 16.

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Q: 4. Determine wether.the senies. Canveryes.cr. diverges e.. 2h n2 .. 4 -1.

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…