Compute each determinant 1 3-7 9 75-1 sine cose tane 4 00 0. 40 10; -350-4 cose 0 -sine 9-3 7 sine cose 7 3 0 4

Q: 3x 3x 16 cos + isin 4. 4. Sa 5x 34 cos + isin 3 3

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Q: Express sin(5t) as a sum of two complex exponential signals. That is, find two complex numbers and y…

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Q: 2 1 Cof (A) i A = (5 -2 9 -6 5 US I -1 3.

A: The given matrxi is:A=32153-29-65To find its cofactor

Q: Show that T (1-i) cos- +isin- 40 40 (81-8√3) 6 10 = -√2

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Q: e (3B-2A) sin CIo) +(3A +98) os cto) =7 -AD e(Acs(@)+Bsin(2)] = 2 cos(2)+Bsinc %3D B9 using…

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Q: Evaluate: e ei n 4т 2 ei -27 ei 37 ei 47 hoose answers from 1 + i 2 3 1 -1, i, -i, and i 2 3 ||

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Q: Express as a product. sin 4ẞ + sin 10ẞ + sin 22ẞ + sin 16ẞ

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Q: If z = 2 ( cos 2¥/3 + isin 2¥/3 ), then z^3=   i. 2 - i8√3 ii. -4 + i4√3 iii.-8-i√2 iv. -8 - i4

A: Using de-moivre's formula :

Q: Perform the following operations: 10. Z = V(100)² + (40)² 11. Z = V(4 x 10-8)² + (50 × 10-9)² 12. Z…

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Q: If the root of C.E. are (-2, -2, 0, ±2i) then yH = (a) A + Be-2x + Be-2* + Dcos2x + Esin2x (b) A +…

A: We have to find the following

Q: Suppose a 2nd order constant coeficient ODE has a characteristic equation with complex roots equal…

A: It is given that the 2nd order constant coeficient ODE has a characteristic equation with complex…

Q: 2730n ? 365 Which number is equal to coS 1 e-i2n335n/365 1 1 ei2n335n/365 2 (a) pi2n30n/365 (b)…

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Q: sin- a. b. undefined cos(-210) C. Cus270 tan450 d.

A: sin17π6=cosπ2-17π6=cos-7π3=cos7π3=cosπ3=12        cos-210∘ =cos210∘ =-32

Q: State and prove bernoulliis equation.

A: Here to prove the Bernoulliis equation

Q: 2* cos 3r dr +4 8.

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Q: Find the harmonic conjugate of the harmonic function u = 5ху - 4х + Зу

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Q: Solve for z, and give your answer in the form a+bi. z^2 + (2i + 1)z = i

A: To solve for z in the given equation, we first rewrite it in the form of a quadratic equation:z^2 +…

Q: +jsin- 12 12 + jsin 2. Simplify 3 cos .Express answer in rectangular form.

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Q: + jsin 12 12 .2 +jsin - Simplify 3 cos cos

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Q: d 5s- Cos-3 s(s*- 1st1)

A: We use partial fraction method to decompose given function of s and then use inverse Laplace…

Q: Verify that (¹)² = i²i but that (i²)i ‡ į²i ("i" imaginary unit)

A: What is Complex Number: A real number and an imaginary number are effectively combined to create a…

Q: find the principal value of (3-3i)^3i

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Q: -5 cos 2B cos 6B -5 cos 4B + 5 sin 8B -5 cos 8B – 5 sin 4B 2 2 -5 cos 4B – 5 sin 8B -5 cos 4B – 5…

A: Solve : -5cos2Bcos6B Use formula = [cos(a-b)+cos(a+b)]/2

Q: 40 + 70j + j100 tan 0.67 = 100 100 + j(40 + 70j) tan 0.67 40–237.8j 40 + 70j + j100 × (-3.078) = 100…

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Q: Solve the らinx + (Co SK)y = tanx

A: To solve the given differential equation.

Q: Part D

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Q: rewrite the following complex numbers in z = x+ jy format

A: Since you have posted multipart question and we can answer three subparts. So, answered first three…

Q: 25y¹V + 15y"" - 5y" − 12y' + 16y = 0

A: 25yIV+15y'''-5y''-12y'+16y=0