Evaluate L{t cos 4t} s2 - 4 a) s2 + 4 s2 +4 s2-16 b) s2-4 s2 + 16 c) s2- 16 d) s2 + 16 O a Od

Q: conjugate of v-1-3 is 1- V-1+3 2- -V-1-3 -V-1+ 3 3 - V-1 2- 4-

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Q: 1- Sti +65१ 25

A: We find L-1[(s+1)/(s2+6s+25)]

Q: (122r + 3s =29 3r + 2s = 16 %3D

A: Given equation : 2r+3s=29 3r+2s=16   Use Cramer’s Rule to find the values of r, s rDr=-sDs=1D

Q: 2х1 + 3х, — хз — 2 Зх1 — 2х2 + хз — —1 = -1 — 5х1 — 4х2 + 2xз — 3

A: Given that  The system of equations  To find the solution of system of equations by using cramers…

Q: Use Cramer's rule (by hand) to find the unique solution of x1 +3x3 = -1 -3x1 +2x3 = 1 2x2-x3=0

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

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Q: +16x2 8-2 30 +4x 8-2 306 4- い当 V9zetx16 C-2 48-2 る X42 X 40. こ122

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Q: Select the corect answer a. (s-3 Ob. (s-3) Oc 1 (s–3)? Od. (s–2)} O e. 1 (s–3)

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Q: using Cramer's method

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Q: b) 33.xª-b+c where A = c) " +3x²+c = where A = and C= (3+x)¹¹/2 - 3(3+x) ⁹/² = (3+x)⁹/2. A, where A…

A: To find the unknown quantity.

Q: り plot s XE[-2T,27] Sin3X „Cas2X,

A: a.  Given function is, f(x)=e-x2 We find that f(0)=1 and when x→±∞, f(x)→0 So, the graph will be,

Q: Determine and y such that 0 [xy 139+223-412,3] = 2x y -5

A: To determine the values of x and y.

Q: 4x – 7y x - 2y Add: х — Зу - 3 Зу — х'

A: Given: 4x-7yx-3y+x-2y3y-x For adding given expression, we take L.C.M. and simplify it

Q: 4x – 2 > 2(x + 6)

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Q: FCX)=10+x FC2)

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Q: 20 8y + 4z = 7 6y - 8z = 41

A: Given equations are, 8y+4z=76y-8z=41 Write in matrix form and calculate the determinant as,…

Q: 10 6h = 2k + 9 3h + 4k = 12

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Q: 2х1 + 3x2 — хҙ — 2 Зx1 — 2х2 + Xз — —1 -1 %3D -5x1 4x2 + 2x3 = 3

A: Consider the provided equations, 2x1+3x2-x3=23x1-2x2+x3=-1-5x1-4x2+2x3=3 Solve the above equation by…

Q: de 4TV3 Show that (2+cos8) 9

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Q: 4sinx •cotx / cos2x + 1

A: You know:

Q: Let a = -27 +53 + 4k. Find a.

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Q: x(3-5х) J - (3x-1)(х-1)* # 2) Evaluate: -dx-

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Q: If z₁ = 5-i, z₂ = 1-2¡ then evaluate 32₂ +22₁-5- z, 2z, -3z₂ +3-i

A: Use complex number concept

Q: What is the difference between the minor of an element aij and the cofactor of the element?

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Q: Evaluate: So SY SY ㅇㅎ 01 21-13 dyde O-3 이용 2 12+y2

A: To Evaluate: ∫03/2∫x/32x-x2dydxx2+y2.

Q: What is the real part of the result of the following: (5 - j5)4? 5 O 25 -50 O -2500 -25000 O 50 none…

A: Given complex number is (5 - j5)4

Q: V9x2+4 dx V9x2+4 +c V9x2+4 +c 3

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Q: 23. Simplify the complex fraction કાકાસ x²+2x+3 '' + ; x+3 1 1 -+ x+5

A: Topic = Algebra

Q: Express the sum cos 3x + cos 2x as a product.

A: the given sum is: cos 3x+cos 2x we have to express the given sum as a product.

Q: Simplify by expanding: (4x - 2y*) O A. 16x* - 32xy-4y O B. 16x*- 32xy² +4y OC. 16x* + 32x'y -4y* O…

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Q: Determine S5x? cos 2xdx

A: Given query is to evaluate the integral.

Q: ®2x + 5y = 0 3x - 2y = 19 || %3D

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Q: S(sin2z – 3cos2z)°dz

A: Here, (sin 2z-3cos 2z)2 =sin22z-6sin 2zcos 2z+9cos22z=sin22z+cos22z-3(2sin 2zcos 2z)+8cos22z=1-3sin…

Q: D 5d = 2e - 14 %3D 5e = d+ 12

A: