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Q: : let u = (1, 2, 3), v = (2, 2, -1) and w = (4, 0, -4) then u-v and v - u equal %3D None u - v =…

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Q: az az and at the point (-1, -3, -2). Suppose ry z - 94 = 4xy – z. Compute ду dz |(-1,–3,–2) az…

A: An important result from advanced calculus, called the Implicit Function Theorem,states the…

Q: Let f = 12r + kry + Jryz re-express f O f(r,y,z) = (x, ry, Tyz+) O {r,y) = (x, ry, ryz*) O f(x,y) =…

A: GIVEN f= ix+kxy+jxyz4     ....(1)

Q: Find S ∩ T, (S ∩ T)c, Sc ∩ Tc, S ∪ T, (S ∪ T)c, and Sc ∪ Tc (1) S = (0, 1), T = [1/2, 3/2]

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: 25. Show that |v|u + Ju|v and |v|u – |u| v are orthogonal.

A: Two vectors are orthogonal if their dot product is zero. If the dot product of two vectors is zero,…

Q: ). Show that V - u -ly- tan' u < V - u 1- if 0<u<v, < tan 1+v? 1+u 4 2< tan 4 25 3 and deduce that 3…

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Q: Show that (u - v) × (u + v) = 2(u × v)

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Q: find g(u(x,y,z), v(x,y,z), w(x,y,z)) if g(x,y,z)=zsinxy, u(x,y,z)=x2z3, v(x,y,z)=πxyz, and…

A: Given, g(x,y,z)=zsinxyu(x,y,z)=x2z3v(x,y,z)=πxyzw(x,y,z)=xyz     Find g(u(x,y,z),v(x,y,z),w(x,y,z)):

Q: what is the center of {0.1, 0.3, 0.02, 0.09, 0.4, 0.05, 0.26}? 0.4 0.1 0.3 0.2

A: Given Data: Given Set of Numbers: {0.1, 0.3, 0.02, 0.09, 0.4, 0.05, 0.26} Arrange the numbers of the…

Q: Find the transitive closure of R={(0,1),(0,2),(1,1), (1,3),(2,2),(3,0)}

A: Given relation is                              R=(0, 1), (0, 2), (1, 1), (1, 3), (2, 2), (3, 0) we…

Q: Let S = {2x,1 – x, x² + x – 1,x + 1}. Then %3D

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Q: if f is derivable in [a, b] and f' (a) not equal to f' (b), then for each number k lying between f'…

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Q: of Then x y

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Q: Compute x 2z ds where C is the line segment C from (0,6,–1) to (4,1,5).

A: The given line segment from   to   can be represented parametrically as: , , and , for    Using the…

Q: Please solve 4,5,6,7 The Borel o-algebra on Ris generated by any of the following collections of…

A: As per the company policy, in a multipart question like this, we can solve only the first two…

Q: an 1. Reflect an object defined by the points (1,2), (3,5), (7,8) and (4,4) about arbitrary axis…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Compute ∇ƒ(-1, 2, 1), where ƒ(x, y, z) = xy/z.

A: Given,f(x,y,z)=xyz     As we know ∇f(x,y,z)=∂f∂x,∂f∂y,∂f∂z

Q: Theorem: Proper ies of Transposes 3.) %3D

A: If we take transpose of transpose matrix, the matrix obtained is equal to the original matrix.…

Q: X Y Z' WXXN W. Y ED O XYZ' + XY + WX'YZ (XYZ)+(X+Y) + WX'YZ F

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Q: Let r, y EN such that y # 0, then y+r#0.

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Q: ) IH U = (1,2,3, - - 0), A = (2,4,6 .20), B = (1,3,5 . - 19) Verify Demargans laws

A: Explanation of the solution is given below...

Q: If (X.r,) and (X,r,) are T.-spaces, then (X.r,nr,) is also a T,-space. GOOD LUCK

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Q: If C, C2 Cn are Constovts 1-1 . a,, uzXz) ---- Un (X)ave livffen antiable 4111 funetions at x with…

A: Introduction: The differentiation of a function y=fx is defined as f'x=limh→∞fx+h-fxh This is…

Q: 20. Let -(). -- (). (). u = w = If au + yv = w. (x, y E R), then a - y = (A) 2/3 (В) —3/2 (C) 3/2…

A: To find  The value of x-y

Q: 3. Evaluate Se(x² – iy²)dz along the straight lines from (1, 1) to (1, 8) and then from (1,8) to (2,…

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Q: Suppose ū (5, 3, 0) and v = (3, 1, –1). The projection of ū along ở is

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Q: Let f be q functiom that admits contırous second partial denvatives Df (X.Y)=(4x²- 2q²x+ 2q°y ,4y³ +…

A: Given, the second partial derivatives              ∇f(x, y)=4x3-2a2x+2a2y,  4y3+2a2x-2a2ywith a&gt;0

Q: Let S={(x,y)∈N×N|(2−x)(2−y)<2(4−x−y)}.Prove that S=TS=T, where T={(1,1),(1,2),(2,1),(1,3),(3,1)}

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Q: ☺ Let (u,Ue...,un) be a lineorly ndependent list. Which True Statement? is a has --- a non-zero…

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Q: In Exercises 13–16, find and sketch the level curves ƒ(x, y) = c on the same set of coordinate axes…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: If (X,7,) and (X,7,) T. - spaces, then (X,7,nt) is also a T,- space. GOOD LUCK

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Q: Utu = c²uxx , u(0, t) = 0, u(1, t) = 0, u(x,0) = 0 U¿(x,0) = x² – 2x, 00 t> 0 t > 0 0sx<1.

A: Given P.D.E

Q: - Suppose itat ". *, are foot chebjshev poy nomial T,So detdmin irtelpola ting rol, nomal -f Tthe…

A: We are given that x0, x1, x2 are roots of Chebyshev polynomial T3. We know that T3(x)=4x3-3x. And…

Q: Let S = {2x, 1 –- x, x2 + x- 1, x + 1}. Then S is a %3D

A: for a basis we need to check that a set must be linearly independent and spans the whole vector…

Q: Let u = [-1, 2, 2] and v = [1, -1, 1] Find (급x) O [3, 4, 1] [3, 4, -1] OI-1, 3, 4] O 14, 3, -1)

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Q: Suppose the operators Å and B are projection operators. Show that the sum of two projection…

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Q: In​ soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The…

A: Given: α=0.01

Q: U₁ + Ux+Vx = 0, v₁ + UxVx = 0, u(x, 0) = u(x), v(x,0) = vo(x).

A: Given clear explanation below.

Q: Find the Reat teng th of sides of the triungle (AB Al4, 6,0), BL-6, 2,5) yclo, 9,5 ).

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Q: true or false without justify The sel { 1,2,t, 3,,4,+, csx, coss is mot Ti Bomded in (CToi], Ul6)…

A: True.

Q: Let u 7 and w compute -5 u + 9 v -4 w. %3D -5 u + 9 v -4 w Ouestion Help: M Message instructor O…

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Q: Tofology 2. EX しT X={12/3/4 /5,6 T=Eメ,中っをり,立る, りろ4。 LeT {1,3,4), Topology ? زژه اوم.

A: For the given statement

Q: Question #30

A: Note: Some of the basic calculations are directly written due to the question being very lengthy. We…

Q: If G (x, y, z) = curlF (x, y, z), where F (x, y, z) = (y – 2, z – x, x – y), then х, х — у), then ||…

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Q: Let u = (-1,3)and v = (1, –1), then proj,u is: ) (1,1) ) (2,2) O (-1,1)

A: the projection of u onto v is given by projvu=u.vv2v substitute the values

Q: (1) What is the relationshi etween lines 11 and 12? wl Y = 2 y = 1+ 2t Z = 1+t

A: Given: L1:x=2        y=1+2t     z=1+tL2:x=4-t   y=1+t      z=2+t

Q: Let S = {2x, 1 – x, x² + x – 1,x + 1,x – 2}. Then %3D P3 P2

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Q: 6. Compute fxyx (1, –3) and fyxy (1,–3) for f(x, y) = (x + y)*.

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Q: 17

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