(-7, -7), K(-9, 1), L(-1, -1)

Q: Solve for x, y, z and w. (Enter your ansv x + y y + z 3 5 z + w 8 5 (x, y, z, w) =

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Q: Given f(x, y, z) = 22 + 2y? + 6z2, find fa(x, y, z) = fy(x, y, z) = f:(x, y, 2) =

A: Solved below

Q: Iculate O F- dĩ, where C is the square of (1,1, 1), (–1, 1, 1), (–1, –1,1) and (1, –1,1), with…

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Q: ху f(x,y,z) =- х+у+z

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Q: . W: {Set of whole numbers less than 10} -: {-45x5,xel} M: {ala=-3x,0sxs5,xeW}

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Q: Find (a) ker(T) and (b) range(T).T: R4→R3, T(w, x, y, z) = (2w + 4x + 6y + 5z, −w − 2x + 2y, 8y +…

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Q: Show: Cov (X,Y) = E[X(Y – μY)]

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Q: Find f, (x,y) and f, (x,y). Then, find f, (3, - 4) and f, (4, - 3). f(x,y) = - 7xy +6y +3 fx(X.y) =

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Q: Find div F and curl F if F(x, y, z) = 16yªz³i – 17x7zºj − 3xy¹k. div F= curl F=

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Q: Find length of the cardioid r-a03from 0 0 to 0 t %3D

A: To find Length of cardioid r=aθ3  where θ=0 to θ=π

Q: write limear combimation of Vq, Uz, Vg .Where 4 V, Vz, Ug .Where as a V. (2,7,10),Ve(1,2;3),Ve…

A: We have to write v as a linear combination of v1,v2 and v3. Then, For any vector a,b  and c…

Q: for w = ze(zy²+2:). Do not include =" in your answer.

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Q: Show that Plx-1,y) = A(x, y) X+ y-1

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Q: find ƒx , ƒy , and ƒz . ƒ(x, y, z) = x - √(y2 + z2)

A: Given function is, f(x,y,z)=x-y2+z2

Q: af (x,y) f(x, y)=xe"+* 5 у, Х (а) Сompute y af(x,y) X f(x, y)=xe³"+* ,5 у (b) Compute ду y

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Q: Let X and Y be iid N(1,3). Let U = 4X + Y and V V_dependent or independent? Justify your answer. 2X…

A: Given X  and Y be iid with N(1,3). Mean, μ=1 Standard deviation, σ=3  U = 4X + Y and V = 2X — 3Y

Q: af (2,0) ay f(x, y) 3D хетУ + 5у%; af (2, 0) = Əy

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Q: A) f(x,y,z) = 2x + y – z , Q = {(x, y, z): 0 < x, z < 2,-2 < y< 2}

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

Q: Find ƒx (x, y, z), ƒy (x, y, z), ƒz (x, y, z), and ƒyz (x, y, z) for ƒ(x, y, z) = x4 + 2yz2 + z4

A: Consider the given function, fx, y, z=x4+2yz2+z4 now, use the partial derivative method to find the…

Q: Evaluate ſ √x² + y²dxdy over the triangle with corners (0,0), (4,4), and (4,0) using x = u, y = uv.

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Q: S: R² → R², S(x,y)= (2x + Y,x – 3y) , T: R? → R², T (x, y) = (x – yY, x + y).

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Q: Integrate: Show that B(p+1,q)+B(p,q+1)=B(p,q).

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Q: 5. By Chain Rule , evaluate b. y' for y = u² + 2u and u = x² + 2 %3D

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Q: A shop sells 3 brands of textile: B,, B,, and B, of yarn, each of which is a blend of Orange (0),…

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Q: Evaluate |/I. ze*+ydV where B is the box determined by B 0 <x < 4, 0 < Y < 3, and 0 < z < 3. The…

A: We have to evaluate the integral

Q: IT Evaluate v if y=xsinx at x = 6.

A: Giveny=xsinx

Q: f(x, y, z) = 2 ≤ x ≤ 10,0 ≤ y ≤ 4,0 ≤ z ≤4

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Q: 9. Find the measure of Zu given that pllq. x-138 y-42

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Q: g(x, y, z)

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Q: linean trensformabe which af the Pollowing ý a Pixiyiz) =(xyt, x+y, x+2, YtZ) PXIYA) =(2x,2y 12Z,…

A: Note:- 1) Due to our guidelines we can solve only 1 question. 2) In question 1) there is a…

Q: f(x,y)= exsin (y), fx(x,y)

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Q: Given f(x, y, z) = /2x – y – 5z, find - - f-(x, Y, z) = %3D f,(x, Y, 2) = %3D f-(x, Y, z) =

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Q: 26 + 4z4 – 2z2 +1 dz (z – 2i)6

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Q: Given f(z, y, z) = /1z2 + 3y? + 222, find %3D f-(z, y, 2) =| f,(z, y, 2) = f.(z, y, z) =

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Q: Find fy and f, and evaluate each at the given point. (x, y, 2) = x²y³ + 2xyz – 6yz, (-2, 1, 2) ,(X,…

A: Given :- f(x, y, z) = x2 y3 +2xyz-6yz  To find:- fx(x, y, z) fy(x, y,z)  fz (x, y, z)  fx(-2,1,2)…

Q: F(w, x, y, z) = Em (0, 1, 4, 5, 6, 7, 9, 11, 15) + Ed (10. 14). %3D

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Q: x+y Show that: B(x+1, y) = B(x, y)

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

Q: Find div and curl if (x, y, z) = 8y"z' – 10°z° – 3ay div curl

A: Since there is no vector in the given function implies,

Q: Find fx(x,y,z), fy(x,y,z), f₂(x,y,z), and fyx (x,y,z) for the following. 3 f(x,y,z) = 4x³ + 2xy -…

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Q: xz, + 2yzy = 0, for r > 0, y > 0 yzz – 4xz, = 2ry, for all (r, y) #2, – ryzy = z, for all (r, y)

A: (A) Given the PDE xzx+2yzy=0 We will use the characteristic method to find the solution.

Q: A. Compute for Coefficient of r Let x ΣΥ Ξ [x² = Y n= [x = [xy = £y = r= Analysis & Interpretation…

A: Solution-: Let, X=Weight (lbs) and Y=Chest size (cm) We have following data: X Y 5.64 29.5…

Q: Let w, x, y E R“. If w · æ = 3, w · y = 2, what is the value of (3x – y) · w? 11 7 2.

A: Given that w.x=3 and w.y=2 To find the value of (3x-y).w

Q: Determine whether R3 = span(u, v, w) if

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Q: Suppose FW = Ax+B, with F6)-r and F() - 8, pind F) interms of A,B,r,s

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Q: Find fy (x,y,z), fy(x,y,z), f_(x,y,z), and fyx(x,y,z) for the following. f(x,y,z) = 3x* + 3xy - 5z

A: We need to find derivative of given function.

Q: Solve for x, y, z and w. (Enter your answers as a comma-separated list.) х- у х-z y - w (х, у, z, w)…

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Q: write of VV2,V3, where Vas linear Combination. V= (2,7,10), V,= (1,2,3), Vz (1,3,s)3=U,5,9).

A: The given vectors are v=2,7,10v1=1,2,3v2=1,3,5v3=1,5,9 We have to write the vector 'v' in the linear…