Determine whether i is an element of Q (V2+ i).

Q: Find the 73%, 82% and 94% response time for the following system given: ÿ + 2ỷ + 4y = U(t) %3D

A: Given y ..+2y.+4y=U(t)     where U(t) =Unit step function Taking Laplace Transform on both sides,…

Q: Find all values of z for which z* + 2 – i2v3 = 0 and represent them geometrically.

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Q: Find A and B such that 2x-1/(x+1)(3x+2) = A/x+1 + B/3x+2

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Q: .Prove that A =B² = C² =I. 0 -1 Given A = B = and C = 1 0 i

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Q: Describe the behavior of the expresion as x → 2+ and as x → 2¯. Enter oo for o and -oo for – o. 2x…

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Q: Find the value of the Boolean expression for (x1 ^ (x2 V (X1 A2))) v ((x1 ^T2) V (X1 A 3)|

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Q: 71. r(и, v) — 4ui + (Зи — v)ј + vk 0 < u < 3, 0 < v < 1

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Q: Prove V²f(r) = d²f dr² + 2 df r dr

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Q: In Z[V3], the element 2+v3 is:

A: Unit Given element is a unit

Q: construct vw so that v= 2ab?

A: Here VW  and AB are line segments . To construct VW ,so that VW=2AB

Q: The Doman off(x) = V4 – Vx is

A: Note: The correct option is not in the option.

Q: Evaluate using u-subsitutiton?

A: u-substitution means substitute  1-8t=u2. Then solve it.

Q: Prove that r - 2 does not split in Q ( V2e*).

A: given   x3-2    and    Q23e2π3i now…

Q: Compute AB, where A AT B = = 24 09 4 -3 -1 and B = 76 (1 %). 6 4

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Q: Use Cramer's rule to solve the following set of equations, 2x1 + x2 =44 x1 + x2=72 3x1 + 5x3=69 2x2…

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Q: Find the value of c such that enc = 5 n= 0 C =

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Q: Find the value of ‘v’ in v2 – 2v -15 = 0, if v is a natural number.

A: Given quadratic equation is,

Q: Use Cayley-Hamilton to find B4 and B-1 . Where [1 B = 0 1' 1 - 3 -1

A: It is given that B=12-101-13-11 The characteristic equation is given by:…

Q: Q2. Calculate (aijkX;XjXx), where the aijk are constants. axi

A: Here given that aijk is constant

Q: Let u = - 71+6J, v = 81-J, and w= -61. Find 4u-(3v-w). 4u- (3v-w) = (Type your answer in terms of i…

A: Given Data: The value of vector u is: u=-7i+6j The value of vector v is: v=8i-j The value of vector…

Q: Find a and b such that 2 1 = a -4 + b -4

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Q: find the value of a for which       [ 4 ] v = [ a ]       [-4]       [ 3 ] is in the set…

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Q: Let v = - 6i + 6j, and w = -i-5j. Find 2w + 6v. 2w + 6v = (Type your answer in terms of i and j.)

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Q: Find AT, ATA, and AAT.

A: Now the transpose is,

Q: Write z = as a linear combination of - 10 - 1 -3 -1 and y =| 2 where x y z R3. X = 4 Select one: O…

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Q: is a linear combination of vi = V2 = V3 = 3. ylgn ihi 521

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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: If z̟ = 1 + jb , z2 = re¬j² , z1/z2 = -10, determine all possible values of b and r.

A: According to the given information, it is required to determine the possible values of b and r.

Q: For z = -V3 - j3, evaluate

A: Given that , z=-3-j3 evaluate 1z*e-jπ2

Q: Let v = - 7i + 5j, and w = - i - 8j. Find 9w + 8v. 9w + 8v = (Type your answer in terms of i and j.)

A: Given vector v and w, need to calculate 9w+8v.

Q: Find Re(z) if z(2 + i) = z+(16 + 20i)

A: Given that, z2+i=z¯+16+20i. The objective is to find Rez.       For any complex number z=a+ib, its…

Q: Use substitution method to prove step-by-step that (P^Q)^(P = ¬(Q^R))^(S = R) = –¬S.

A: We are asked to prove the following using the substitution method, P∧Q∧P⇒~Q∧R∧S⇒R⇒~S We will show…

Q: If z = 1 - 2j and w= 2 - 3j, express 2. w in the form a + bj where a and b are real.

A: Given  z=1−2jw=2−3j

Q: Assume that u. v = 2, ||u|| = 9, and ||v|| = 3. What is the value of 1u (2u - 10v)?

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Q: Sove the fellowiheg "2 ........ .....A... ...... y(o)=-3

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Q: Consider R? with the weighted inner product = 2ujv1 + 6u2v2. Then ||(2, 3)|| = a) V13 b) V22 c) V30…

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Q: If y3 – 3ax? + x³ = 0, then prove that y2 + 2a?x?y-5 = 0

A: The proof is given below :

Q: ду Q5: A /Determine az if you knows that: z = (x2 + y2 - 2z Incos3x) дх ду %3D

A: To find the partial derivatives of given z=(x^2+y^2-2zlncos^3x)

Q: Find Re(z) if z (2+i) = z + (16+20i)

A:

Q: Let x~ N( M, -) Ti- 5, Ź (xi-x)* 2 %3D %3D n -1 Ź(xi- 7)" 2 2. T2 = 2. 2. 2. Check the Consist of 6,…

A: We know that, Y=∑xi-x¯2σ2~χn-12 Then  EY=n-1⇒E∑xi-x¯2σ2=n-1⇒E∑xi-x¯2=n-1σ2---&gt;1…

Q: Evaluate h(8), where h = gof. Ax) = Vx-7, g(x) = 9x³ + 7 9x + 7 h(8)

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Q: Evaluate in a + jb form, given z1 = 1 - j3 , z2 = -2 + j5 , and z3 = -3 - j4 a) z1z2 b) z1/z3

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Q: 27 is a supplement of Z8, and m27 = 109°. Find m28. %3D m28 %3D

A: It is given that, ∠7 is supplementary of ∠8,  and m∠7=109° We have to find m∠8=?

Q: Let v = - 6i + 7j, and w = - i- 2j. Find 2w + 3v. 2w + 3v = (Type your answer in terms of i and j.)

A: Need to solve 2w +3v

Q: Let A=" and let fcx)= 2x-4x+5. Find 4 -3 り b) A

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Q: 1aar = |1a – 1g| AAB ΑΔΒ

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Q: Let 1 A = 1 3 2, Find A- in terms of c.

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Q: Compute: (2 -i OC/2-i3) r:

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Q: Find (u + v) ∙ (2u − v) when u ∙ u = 4, u ∙ v = −5, and v ∙ v = 10.

A: u·u=4,  u·v=-5  &amp;  v·v=10