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 – 4j + k 7i-7) +7k 3i +j-

Q: Find the Ye neral solution of the eguation. 6y"_5y_4 y =o %3D

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Q: Given z = -5+ 3i and z2 = 3 – 6i, express in the form a + bi %3D i. 4z1* – Z2 ii. Z2

A: Complex Cartesian form

Q: If MZCDB = 6y and mZACB = 2y + 10, find y. B E C %3D A

A: Consider the property of the rhombus that each of the diagonal bisects the opposite angle and the…

Q: QUESTION 1 Let E = {qEQ: -n<qs2} then Sup E = and Inf E: %3D %3D %3D For the toolbar, press ALT+F10…

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Q: Solve the following aw dw aw. Q1) w(x,y, z) = xy²z³ + esin(x³y²z) + x² – y³ + z – 7 find ( ax ду az…

A: Answer

Q: Evaluate = (VIn(x°cos(#)) – 24) dr + (4r – 3°evtm(7*) dy (4.r – y°e2ytan(y") where C, is the…

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Q: Since D is a square whose vertices have coordinates (0,0), (0,1), (1,0) and (1,1), which of the…

A: Please refer to the image below

Q: L 0, and C = [1 -1]. Let A = B = %3D -2 3 Then 2BC + AT = %3D

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Q: If u(x,y) =3x2y+2x2-y3-2y2, then u is harmonic %3D

A: A function u(x, y) is said to be harmonic if it satisfies the differential equation uxx+uyy=0. The…

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: Convert the differentral equatim into e S and Save nhe System: (20-70-4y)%3D0

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Q: Determine the reduced row echelon form of

A: Conditions for row echelon form : The leading coefficient i..e the first non-negative value from…

Q: If a certain BE has a solution of yles -zdx = f=es-æd dx +C, which of the following BE !3! below is…

A: The solution are next step

Q: Let W = {a + bX + cX² + dX³; a – b = 0, c = 4b,}. Then the dimension of W is %3D 4.

A: We will find the dimension of W

Q: 1. If XM = 4, XN = 6, and NZ = 9, find XY. %3D %3D %3D 13 If XN 6, XM = 2, and XY = 10, find NZ. M.…

A: observe the figure

Q: Icm(a, b) = ab if and only if a and b are relatively prime. %3D ylgn O ihi O

A: True

Q: If A and B are independent and the P(A|B) = 0.4 and P(B) = 0.7. %3D %3D Find the P(A u B).

A: Given data,P(A|B)=0.4P(Bc)=0.7IF A &amp; B are independent eventsP(A∪B)=?

Q: 4. (a) If y = A + Bx + Cx2 and yo, yı, y2 are the values of y corresponding to x = a, a + h, a + 2h…

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

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Q: Hew:3 If V= Ai-j+SK_and V2 =4i+2j+4K, find Value- oftAt sa that theltngthof Projectionof Vionto Vz…

A:

Q: given z=1-8i and w=3+5i, find the following. a.   zw b.   conjugate of w. c.   z+w

A: Complex number

Q: Given the following table : Ex = 84 E(X,-x)(y,-y)=-64 %3D Ey= 37 Σ-3 385 %3D n = 20 E(y,-y) = 1900…

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Q: Suppose AE R, v#0, and (A- A)v#0. Use the fact that A is symmetric show that it is impossible to…

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Q: If u then is Uxx %3D OA. 1. .3 O B. 4 Vyx 1 OC. .3 3. 8 yy x O D. - 4 Vyx³

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Q: Find ATA and AA". 2 0 1 %3D -1 4 2 (a) ATA 1 1 (b) AAT 21 Which of the products are symmetric?…

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Q: Using the method of Gaussian elimination, compute inverses to each of the following ma- trices: 0 0…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Show correct answer from the multiple choice options.

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Q: If ā = 2ī +j -k, 5= -i +2j- 4K, č = T +J+k then find |(āxb).(5xē). %3D

A: This is the problem of vector calculus.

Q: k! CO %3D 104k

A: Given Series ∑k=0∞k!104k

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: 3. Let x? + y² + z² = ? 3ryz, then which of the following is %3D 2y–3zy O a. 2z-3zy 3zy–2y O b.…

A: Note that, here x and y are independent variables and z is the dependent variable. So, we will apply…

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

A:

Q: If z = (2x + 3y)³ and x = r2 - 2s and y = 2s - r, then when r = 2 and s = 1 is as %3D %3D

A: To find the partial derivative when r=2, s=1.

Q: c) If det (M) = 2 and det(N) = 3, calculate: %3D %3D i det (NM-'N). 1 ii det (M©N*(M-1)^(N-1)³).

A: Given that, detM=2 and detN=3. Results Used: detAB=detAdetB detA-1=1detA detAn=detAn (i) To…

Q: Find the values of w, x, y and z in fraction form using (a)Gauss Elimination, (b)Gauss-Jordan…

A: NOTE: According to guideline answer of first question or first method can be given, for other please…

Q: In(z,) + In(-v3 – 1) = In(2) +i %3D

A: Answer

Q: Find the resolvent kernel and Solut of ya) = I+5(1-3x+).y(t).d by Alternative procedure

A: Given Integral equation is y(x)=1+∫01(1-3xt)y(t)dt               (1) The general form of integral…

Q: Find the projection of b = 5i – k onto à = i+ 2j+ 3k. %3D

A: We have to find the projection of →b on →a

Q: If f(1) = 4, f'(1) = 2 and g(x) = lInf(e*), then g'(0) is : %3D %3D %3D А. О в. O C. 2 С.2 D. 1 18…

A: Given: if f1=4, f'1=2 and gx=lnfex To Find: g'0 Concept: (i). Chain Rule for…

Q: Using the method of Gaussian elimination, compute inverses to each of the following ma- trices: 3 -3…

A:

Q: Let å = [3,-2,1]; B = -21-1-2k; č= i+j;d36j. %3D nd (6+).d)? A) -2 C) -3 G) i + 2j - 2k B) 2 D) -1…

A: a→=3, -2, 1,  b→=-2i-j-2k,  c→=i+j Now, b→+c→=-2i-j-2k+i+j=-i-2k

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

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Q: Q) Verify that (bx с) %3D b.(с х а) — с. (а x b) if a %34i — 3ј +6k , b- 5i +4j — 3k, с %3 4i +6j +3…

A: Given the three vectors

Q: 10. f(x) =-x2 +3x+ m, y 4-IOBI = 10CI %3D A(ABC) = ? B.

A: As per guidelines, we will solve first question poste. 10) Given fx=-x2+3x+m 4OB=OC

Q: If y = In(x² + y²) then the value of d at the point (1,0) is %3D Select one: O a. 0 O b. 1/2 O c.1 O…

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Q: The values of C, and C, so that y(x) = C, e3x + C, e-3x satisfies the %3D following conditions: y(0)…

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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: ),22 %3D Problem I. Given z, = 3el(T76), z, = 2eiT/4), find: 1. Z1 + Z2 2. Z1 - Z2 3. Z,Z2

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Q: Given matA and matC. solve for C x A 1 [2 A = 13 .c = %3D Choose 1st Row = 1, -2 and 2nd Row = 4, 3…

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Q: Find the values of w, x, y and z in fraction form using (a)Gauss Elimination, (b)Gauss-Jordan…

A: