Find L {(2 – t) (5 cos 3t – 1)}. 1 g3 10 + s2 +9 - - s2 s(s²+9) O 1 s3 10 + s2 -9 2 - - 8(s2 –9) 5(s2–9) (8²+9)? 2 10s - s2 s2 +9 1 5(s²+9) 10s s2 –9 (s²–9)?

Q: Find AB such that [3 1 21 T-1 A = 2 1 2 and B =|4 [1 2 2] -2 -5]

A: The solution is given as

Q: 1) 2) 3) cos ¹(2) j(1-j√3)(√8+j) (1+j)(1-j√3)²

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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: L {(t + 3) sin 2t } = Select one: s2 – 4 (s² + 4)² s2 + 4 s? – 9 + (s² + 9)² s2 + 9 6s (s² + 9)² +…

A: Lsinat = as2+a2. If Lft = F(s) then Ltn f(t) = -1ndndsnFs.

Q: dx Evaluate • (1– 2x)² 1 2 O-1 H/2

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute…

Q: (b) d = 3i + 2k b = 4i + 4j – 2k C = i – 2j + 3k, d = 2i – j+ 5k Compute (d x č). (ā – b)

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Q: cos(-5x)+cos(9x) is equivalent to: cos(2x) Select one: not in the list O 2cos(7x) O 2sin(2x)…

A: Cos(-x)= cos(x)

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Q: (x – 2)²(x+3) (x - 1) (x+2) 6) Let R(x)

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Q: (213)(4*) Simplify (8+3) O t3 2 O 2t3 O 1

A: Solution:-

Q: Evaluate L{3 cos 2t} 3s S а) s2 + 4 b) s2 c) s2 + 4 d) s² + 4 4 a O d

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Q: Example 4: Sohue: (2+j3)2²+ 4z +4-j6=0

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Q: 1 S dx = 3x+2 0-²(3x + 2) + C O 2√3x +2+c 3 O²(3x + 2)² + C A O√3x + 2 + c

A: The given integral is: I=∫13x+2dx  ...1   As we know the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: 4x – 2 > 2(x + 6)

A:

Q: f 6y = 7 – 2x, then what does x equal? AO 3y + 7/2 Зу + 7/2 BO (6y + 7)/2 CO 7- 6y DO (7 - 6y)/2

A: The given equation,        6y=7-2x

Q: Solve the following using Cramer's Rule, 5x + y – z = -7 2х — у — 2z %3D 6 3x + 2z = -7

A:

Q: x² – 4 Evaluate: A =Vx2-4+ sec-스)+C ⑥ -Vx2-4+2 sec-스)+C =V x2 – 4 – 2 sec + C (D =2Vx2-4+ sec-1스)+C…

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Q: L(e²'cos3t) = Select one: a. NOT b. 3 (s – 2)? + 9 C. 3 (s + 2)² + 9 O d. S-2 (s – 2)² + 9 е. s+2 (s…

A: Use the formula below to yield the result.

Q: Determine the simplified form of (4 – 37) (–9 + j) – (8 – j5).

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Q: 5. a. b. C. [1 2 ^= -√²-14 31²-432 B = = L2 0 Given A = 0 Find AB + (C-2A¹) T. Find the values of x,…

A: To solve the matrix. As per our guidelines we are supposed to answer?️ only one question. Kindly…

Q: The residues of f(z) O-4/9,-4/9 O-4/9, 4/9 O 4/7,4/7 O 4/9,-4/9 O 4/9.4/9 4z (z − 1)(z + 2)²

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Q: Q9. (a) (i) Calculate (2 + i√5)(√5 - i). (ii) Hence verify that (√5 - i) is a root of the equ

A: (a) The given expression is 2+i55-i Multiply the terms in the given expression…

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A: An exponential function is a one-to-one function. So if we have ax=ay then we have x=y. Solving an…

Q: Evaluate L{cos² 3t} s² – 18 a) s(s² + 36) s2 – 18 b) s(s² – 36) s² + 18 c) s(s² + 36) s2 + 18 d)…

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Q: Evaluate L{(t²+ 4)e³t} 2(2s² – 12s + 19) а) 2(2s² - b) 12s + 19) (s + 3)2 (s – 3)2 (2s2 – 12s + 19)…

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Q: L{3e2tsin4t – 4e2"cos4t} 16(s-2) (s-2)2+16 4(s-2) a. (s-2)²+16 3. b. (s-2)² +16 12 (s-2)2+16 4(s-2)…

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Q: #6. Find 2²+3 (2-4) (2+i) §. #7. Find §- 211 Z(Z-3)² dz dz where C is 121= 2/2. where C is 12-31 =…

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Q: 13D 43. If a > 1 and b < 0, then 1-101 (A) (B) 1 9 (a) (D) b(a+1) (E)

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Q: 3. Consider the function f(t) = 2t? – 3t + 7 on the interval –1 <t <1 with periodicity P = 2 Give a…

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Q: Solve the following using Cramer's Rule 2x - 4y + 5z = -33 4x - y = -5 -2x + 2y - 3x = 19

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Q: 2. Show that if 8=(AB)- then - > N - - (AB)² + (aß)² – (αB)² – (AB)² = [(A) − (α)] [(B) − (ß)] +…

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Q: 2. (a) Show that (z − 1)(26 + 25 + 24 + z³ + z²+z+1) = z7 - 1. (b) Show that if ¢ is a 7th root if…

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Q: Prove that Σ=1(3i2 - 2t) = 2n3 +n2 - n 2

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Q: k²-4 Find k so that -In³ (kx + x) = - dx -In²(kx+). kx+1

A: