Find (a) u ∙ v, (b) v ∙ v, (c) ||u||2, (d) (u ∙ v)v, and (e) u ∙ (5v).u = (3, 4), v = (2, −3)

Q: (m) For ro = -8, 11 = -7, 12 = -6, 13 = -5, I4 = -4, f(z1)Ar,

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A: We know that the rectangular form of a complex number is written as z=a+jb where a and b are real…

Q: Q1:a\ Show that a₁ a2 b₁ b₂ ₂x+d₂ c₂x+d₂ b3 c₂x+d₂| a2 xb₁ b₂ b, C₁ C₂ C3 Ja, a2 + b₁ b₂ by d, d₂ d

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Q: find u ·v.

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Q: - Select all that apply. A 3 (16a - 72a² + 81) B 3 (4x - 9)* C 3 (4a+ 9) (4x – 9) - D 3 (2x-3) (2x…

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Q: find u ·v.

A: We need to calculate u.v

Q: an + 8an- + 16an-2 = 0 + 16Q, where, a,= -2 and a,= 1 - What is the Yalve of a6 ?

A: the given relation is an+8an-1+16an-2=0 rewrite the relation as an=-8an-1-16an-2 substitute n=2…

Q: P(x1, #2) –X2, Q(x1, x2) = x1; D = {(x1,x2) :0 < x1 < 1,0 < x2 < 1}. = -

A: Note : " As per our guidelines we will solve only first question . If you want any specific question…

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Q: 5) /x + y + y² + x² = 18, y'at (0,4 )

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Q: Illustrate the replection principle with the helpp of example.

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Q: d2/dt2 (t3 + 2t2 - t)

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Q: A² Show that w'= -9-7x - 15x² can be written as the Linear combination of U= 2 + x +4x²₁ V = 1 =…

A: Given that W'=-9-7x-15x2. Show that the given equation  can be written as the linear combination of…

Q: Find v-u. v=4i-7j and u= -9i+2j OA. -5i-5j OB. -50 O C. -36i-14j OD. -22

A: Given: v= 4i - 7j u= -9i+2j

Q: A 3B are 4x4 Martrices, det(A) -3 det(B) =5 a) de t(A) = detA b) def (AB) = (-3)(5)=-15 Ò def (GzB)=…

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Q: then the ² u - y² is მყ2

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Q: Find A-1 where AB=C and C2 C3 b, b, bz C1 B= b, b, b, & C= C1 C2 C3) а, а, аз

A: Given matrix is B=a1a2a3b1b2b3c1c2c3 and C=c1c2c3b1b2b3a1a2a3. We have to find the A-1 where AB=C.…

Q: (9xi – 3yj ㅠ S x² + y² + 7² = 9 is 2

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Q: II. Verify that ду дх дх ду 3 2 2. f(x, у) %3Dх'у? — ху 'y² – xy ³

A: Given function: Now,

Q: 3x – y + z = –1, -x + 3y – z = 7, u+ 3z = -7.

A: Given: 3x-y+z=-1 -x+3y-z=7 x-y+3z=-7

Q: Find x and y in terms of a and b. ax  +  by  =  0 a2x  +  b2y  =  1     (a ≠ 0, b ≠ 0, a ≠ b)

A: Given system ax + by = 0   —(1)                          a2x + b2y = 1  — (2) We solve the system

Q: Vị = 21 -+k V = 51 +j-k V, V2 1) |V2| 2) V V2

A: For any vector with coordinates, V=ai +bj+ck. The magnitude of vector V  is given by V=a2+b2+c2. Dot…

Q: 1 Ha² – D² - 2D+3 dr² - 3)e"} D² – 2D+3

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Q: Consider R2 with the weighted inner product = 2ujv1 + 4u2v2. Then ||(2, 3)|| = a) V13 b) V44 c) V20…

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Q: What is the fxx, fyy, and fxy of f=(2x^4)+(y^2)-(x^2)-(2y)?

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Q: for power substitution method, next step is * For f V1+ Vx dx - (u*) (2udu) - [u? (2udu) Option 1…

A: We have to find the correct option from the given options.

Q: Z1 and 22 are supplementary. Z1 = 124° 22 = (2x + 4)* What is the value of x?

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Q: Eliminale the arbitrany constants 2x 2x Ge?

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Q: af(x,yz) -

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Q: 6. For Exercise, perform the elementary row operations on 2 4 -2 -3 10 -2R1 + R2 → R2

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Q: 2. y(x) = C1sin2x + C2cos2x + 1; y) = 0 and y' ) = v2 C1 = C2

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Q: 25. If ā = -j and b = 2x +5y, express and y in terms of ā and b.

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Q: show that when |z3| # |z4l, Izı|+ Iz2| I|z3| – Iz4|| Re(z1 + z2) Iz3 + z4| VI

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Q: with

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Q: واجبات اوجد الكل م ما ياني o y = 2t2 + 1, t 5x r2 + 1 y = r = 6x O y = V2u, u = 2Vx

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Q: what is convolution of [(e^-2t)u(t)]*3dirac(t)+6e^-2t

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Q: aw find if w = 2x²y- 2z and at 2t3 • y = 5e-3t AZ = 3lnt %3D

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Q: Q2/ Evaluate (B8-5}sec² /3(38-5)2–7 V3(30-5)2-7

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Q: Let f (x, y, z) = -13x² – y² + 5z². Calculate Vf (0, 6,7). (Write your solution using the form…

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Q: 1) y = a², from P(-1,,) to Q(1,;) .2 1 2) x = 3VI(y – 3), 1 <y<2 - 3

A: We have to find the arc length of given curve

Q: What is the value of x2 + 2y ÷ 2w +

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.