3s 4) F (s) = s2+2s-8

Q: 4 F(s) 3s2 + 1 s - 3 1+ (8 – 3)² 1 F(s) = (s – 3)5 F(s) = s2 + 2s + 1'

A:

Q: Minimize c = 2r + s > 30 Subject To: 20 3s 2 30 And Where: {r > 0, s > 0} + + + ||

A: Given that, The objective function, Minimize c = 2r + s. Subject to the constraints, We solve the…

Q: 1. F(s) = 16/[s(s²+4)] 2. F(s) = (8s + 11)/[(s-4)(s²+9)]

A: We have to solve by inverse Laplace transform.

Q: 1– 2s F(s) = s² + 4s + 5

A:

Q: Determine ¹{F}. s²F(s)-sF(s)-30F(s) = 2s²2² +8 2 S + 4s

A:

Q: f(t) = te3t cosh 4t s²-6s+7 s2-6s-7 А. (s2-6s+25)2 С. C. (s2-6s-25)2 s2-6s+25 В. (s2-6s-7)2 s2…

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Q: 2s +10s F(s)=D (s²–2s +5)(s+1)

A: As per our guidelines we are supposed to answer only 1st one. Please repost 2nd question. Thank you…

Q: 4 (iv) F(s) = s2 +9 2s + 16 (v) F(s) : s2 + 4s + 20 3s – 15 (vi) F(s) %3D 2s2 – 4s + 10

A: The Laplace transform of a function is an integral that converts the real variable into complex…

Q: b) y =1+ f(z)=2x-2 O 1ks f-(z)=-1 O 2 34s (2)=2x-1

A: Step 1 Replace y with x and x with y  Step 2 Then solve for y in this equation  Step 3 Replace y…

Q: determine L−1[F].

A:

Q: 2 What is the value of f'(0) if f(x) = (x² – 2x – 1)3? %3D 4 3 Option 1 Option 2 4 2 3 3 Option 4…

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Q: f(s) -3s² – 5 %D S f(s) -2 -1

A:

Q: 11. In the function y = 3x2 - 3, y is replaced by y and then y is replaced with y +2 ; the new…

A: Given:     Function y=3x2-3   Here y is replaced by 12y       substitute y=12y      12y=3x2-3…

Q: Determine L{F}. 3 8s° - 24s - 9s + 36 2 F(s) = %3D 3 s°(s – 4) (s-4)

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Q: 3s - 2s - (s-3)(s² +1) %3D (1 + ;s)(E = $) = (s)d

A:

Q: 10 2. F (s) s2 +4s+4

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Q: s³-2s²+5s-9 R(s) = %3D s2(s+3)(s+1) 3s+10 W (s) %3D s(s-8)(s-6)²

A:

Q: 1 + s(s + 2) F(s) s[(s + 2)2 + 2]

A:

Q: determine L−1[F].

A: Given that, Taking inverse Laplace transform from both sides, By using L-1{aF(s)] = aL-1{F(s)}; a…

Q: Q2: Consider the IVP: y=1+2,1sıs2, y(1)=2.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: (1)F (s)= s +9 2s2 +s -1 %3D

A: Given: L-1s+92s2+s-1

Q: 3s+7, Find L'f 's2+9*

A:

Q: 2s +1 s2 – 2s + 2 7. F(s) = %3D

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 5r+1 (d) 16 - 2>0 (e) 2 4

A: Solution set of inequality are following

Q: * 2.2 2x-1 + If y = Vx² – x then y' 3x2-x T O FO

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: 2-6s 5. F(s) = 2s2-5 6. F(s) = 3(s+ 2)-1 + 3(s + 2)-1

A: Introduction: The inverse Laplace transformation is the process to find the function ft such that…

Q: 2Fs1 ² f (x, y) dx² proof. (H-w-) 2 ./ = P√= f (gy) - P²Fs (Psy) ар(х,у) 0 as x If f (x,y) → 2

A: Introduction: A Fourier transform (FT) is a mathematical transformation that decomposes capabilities…

Q: x for -n Sx 2n

A:

Q: Solve S(y + 1) + S(2y -5) = 3

A: Given equation: y+1+2y-5=3 Concept: Here we shall first remove the root by squaring both sides.…

Q: Determine £'(F}. 5s + 44s + 192 F(s) = (s - 3)(s² + 4s + 20)

A:

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)…

A:

Q: 2s - 1 s2 - s -- 2' F(s) = s2 – 4 - 4 F(s) : (s2 + 4)2 1 F(s) = s2 + 3s + 2

A:

Q: $3+3s2-s-3 Q3: Find the f(t) if F(s) = (s2+2s+5)

A:

Q: f(t) = te3t cosh 4t s2-6s-7 А. (s2-6s+25)2 s2-6s+7 С. (s2-6s-25)2 s2-6s+25 3. (s2-6s-7)2 s2-6s-25 D.…

A:

Q: Find the inverse Laplace for the following using Partial Fraction Expansion:

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Q: 4, 0st< 2 2. f(t) : [0, t2 2

A:

Q: determine L−1[F].

A:

Q: (2) S 1 x= V1-x²

A: Solution

Q: n-m-n (n→m) T T F F 티-| -| | L

A: Truth table

Q: 3s 4) F (s) s2+2s-8 10-4s 5) F (s) (s-2)2 s+12 6) F (s) s2+4s ||

A: Inverse Laplace transform 1/(s-a) = e^(at)  Inverse Laplace transform 1/(s-a)^2 =t e^(at)

Q: L(3+e2^)²= 9. 6. 1 - S- 2 .a O s- 2 6 1 - s- 2 .b O S-4 S 3. 6 1 + s-2 s-2 9. 6 + S- 2 - .d S S-4 1…

A: Given that L3+e2t2.It is required to find the Laplace transform of 3+e2t2. I is known that Laplace…

Q: L() tu(t-3) e6-3s ( 1 + (s+2} 3 s+2 e2-3« ( + ) o 1 (s+2} S+2 e-3+ ( +) o 1 (s+2} s+2 ( e-6-3s 1 3 +…

A: We will find out the required value.

Q: 2s – 3 F(s) s2 + 2s + 10

A:

Q: 2. 2r +z +w 5 y -w = -1 3x -z - w = 0 4r +y + 2z +w = 9

A:

Q: (Sx-8)3 12. g(x) = (*+3) 13. g(x) =. _(x²-s}' 14. y= 2x 15. J09=

A: Dear student,                    According to our guidelines we can answer only first question or…

Q: 3s F(s) = s2 – s – 6 s - 6

A:

Q: + Vs + es +- ds n = 3 From left endpoint s² + 1

A:

Q: determine L−1[F].

A: Given Fs=2s+3ss2-2s+5.

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.