If u= 2i +3k and v = j– k, then

Q: dx , if we let u =V 25 – x² , then udu = - xdx. (A True B False

A: Given query is to find statement is true or false.

Q: Solve for w where u = (-1, 1, 0, 1) and v = (2, 3, -1, 0). w + 4v = -3u w3D Need Heln? Re

A: u=-1, 1, 0, 1 and 2, 3, -1, 0w+4v=-3uTo find w

Q: If O be the origin and OP = 2i+ 3j - 4k and OQ = 4į – j – 3k, then PQ is equal to %3D %3D 3i +j+k 2i…

A: We need to find the vector PQ.

Q: If f = xi + yj + zk, l7I = r,and i=, then show that grad () =

A: 1. Gradf=(dfdxi^ + dfdyj^ + dfdzk^ )      2.  dxndx = n xn-1 3. r = x2+ y2 +z2

Q: (b) If z r+ry- y7, 1= u+ and y = 2uv, find: in terms of du %3D u and v.

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Q: こ= (t)} () て= () %3D - (^),J %3D てんn ZトXC

A: →∫eax+bdx = eax+ba + C, where 'C' is the constant of integration.→∫xndx = xn+1n+1 + C

Q: zdz + -dz. Izl=1 Z :Select one True False أخل اختياري

A:

Q: Solve for x, where u = (1, −1, 2), v = (0, 2, 3), and w = (0, 1, 1). 3u + 2x = w − v

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Q: "en J(2, 9) 5y), find =(z, y) = (z, y) = -(z, y) = %3D

A: We wil find the second order partial derivative.

Q: Let a=3i-2j, b=-i+4j, r=7i-8j. If r=ka+mb, then k+m=... 1. O -1 2. O 2 3. О 1 4. O 3

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: Complete the proof that AUVX ATWX. U V T. W

A: Given:  WX=VX and UX=TX. In △UVX and △TWX WX=VX                  (Given) UX=TX…

Q: If u * v = 2i - 3j + k, what is v * u?

A: As we know a×b = - b×a

Q: Solve min udr, subject to u(0) = 0, u(1) = 1, ur'dr = c %3D =C.

A:

Q: 26. If RX = 6z+2, XS 18, and RS = 14z, find z. j %3D %3D

A: Recall: If XY is line given such that XZ=a ; ZY=b and XY=c then  XY=XZ+ZY   ⇒a+b=c   Note :…

Q: 1. If 4=x'zi-2y'?'j+xy'zk , find div4 at points (1, -1,1).

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Q: If z = In /x? + y? , find x- X +y В. 1 С. D. Vx? + y? A.

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Q: Find u * v and v * u if u = 2i + j + k and v = -4i + 3j + k.

A: Consider the following vectors: u→=2i^+j^+k^v→=-4i^+3j^+k^…

Q: Find the imaginary component of In(2z + w) if z = 11 + 9i and w=10+4i .

A:

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: dw и and if w = x³ + In (²) dv E) + y, x = u² –" + 5 and Find - ди y = 3v + 5u and point…

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Q: Given u(x,t)=(1/t)e^(x^2\4t), compute: uxx

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Q: If u = (u, uz) and v = (V1, V2), how do you find u + v?

A: Given: u=(u1,u2)v=(v1,v2)

Q: 1. Evaluate ff. y dS where S is the portion of the cylinder 4x2 + 2y2 = 16 that lies between z = 0…

A: Since you have asked for a question with multiple sub-parts, we will solve the first question for…

Q: Solve for x, where u = (1, −1, 2), v = (0, 2, 3), and w = (0, 1, 1). 2x − u + 3v + w = 0

A: Given u = (1, −1, 2), v = (0, 2, 3), and w = (0, 1, 1). And 2x-u+3v+w=0 Plugging the values,…

Q: Show correct answer from the multiple choice options.

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Q: 3 If ° ) u(t) where a2 u(t) = ( uz(t) and u1 (t) = B1et + B2e' %3D and uz (t) = Bze' then And find…

A:

Q: If u = ₁+₂y+z, where a₁, A2, A3 al constants and J²u J²u J²u น a +a+a = 1. Show that + + = U. მ2 მყ2…

A: This question is based on Partial diffrentiation.

Q: (-1+i/3)°, by using deMoivre 's theorem

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Q: solve for w where u = (0,-1,1,1) and v = (3,0,-1,2) 5w = u-3v w=?

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Q: Let u= bi + 3j and V=-2i+4; and W= 4i-3; Find wolv+ u)

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Q: Find e² in the form of u + jv and le²| for z = 2 + 3nj

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Q: Given u = 4i - 3j and v = -6i + 4j, calculate u· v.

A: See the attachment

Q: N is the centroid of triangle HIJ. If KN=9, IM=15 and LN=5. Find KJ K. N/

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Q: dæ is equivalent to Using the substitution u = x + 1 Vx + 1 1 -du 1/2 du du -1/2 du - 1) /u2

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Q: Find v−w​, if v ​= −3i +6j and w ​=-5i+5j IIvII-IIwII=?

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Q: If v = 3i - 6j and w = i + j, find (v . w)w.

A: Given:          v=3i-6jw=i+j Using the component formula for the dot product of two-dimensional…

Q: if z = 1- i,w = -2 + 4i then |zw + wz| = %3D

A:

Q: If E?uz = x² and h = 1, then find ux. %3D

A: The objective is to find ux. Given information is: E2ux=x2, and h=1.

Q: If Y = aX + b (a not equal 0), then O a. P(X,Y) = 1 O b. Cov(X,Y) = 1 C. Cov(X, Y) = 0 d. None of…

A: Consider the following example. When a (not equal to 0)

Q: ux v of u = 2i + 3j, v = -i + j is *

A:

Q: - Given a=i+j, b= i - 2k and c = 2i +3j then c x (a x b)

A: Given: a=i+j , b=i-2k , c=2i+3j

Q: 2. v(t) = c1cos(wt) + c2si=

A: Differential eq:1.x(t)=t2+ctx'(t)=2t+cx''(t)=2This is the required differential equation.

Q: If A = ze?xVi VxA at the point (2,0,3) is + 2xycosy j+ (x + 2y) k then the valueof

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

Q: Question dz If z(x, y) = x²y, x = ", and y = u'v², find

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Q: Given: BD 1 AB, BD I DE, BC = DC Prove: Z4 = ZE A B 3.

A: As per our guidelines I am solving only first question please resubmit other question.

Q: differentiate. a) g(t)こ3-2t St +1 c) H(u)= (u-JJ) (utro) d) FLt)- モ-3 %3D

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Q: Find (a) u × v, (b) v × u, and (c) v × v. u = 2i + k, v = i + 3k

A: Given that, the two vectors u = 2i + k, v = i + 3k To find the following (a) u × v, (b) v × u, and…

Q: If v = a1i + b1 j and w = a2i + b2 j, then v + w = (________ )i + (_______ )j v - w = (_________ )i…

A: Given v = a1i + b1 j and w = a2i + b2 j