by first – shifting find L(e3t sinh2t) 3. .a O (s-2) 2-9 1 .b O (s-3) 2-9 .C (s-2) 2-4 .d O (s - 3) 2-4

Q: 6. lim t+0o e3t + 4t

A: Given: limt→∞t2e3t+4t To determine: The value of the given limit.

Q: Consider the following difference equation: fk k = 0, 1, 2, .... 1+ fk' fk+1 = with fo is prescribed…

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Q: Suppose w where I= e, y= 2+ sin (5t), and z= 2 + cos (6t). A Use the chain rule to find as a…

A: Chain rule is a rule of differentiation used when a function itself is defined as a function of…

Q: lim, s0¤(t) = 1? Оа. "+а — 0, z(1) — 2. 0, г(1) — 2. ОБ. — - 0, 2 (2) — 1. Ос. - 2г — — 0. 0, æ(1)…

A: To determine which of the following initial value problems has a solution xt.limt→∞xt=1a x'+x=0,…

Q: Evaluate L{te- cos 4t} g + 2s + 15 b) (s2 + 2s + 17)2 5' + 28 - 15 b) (s + 2s + 17) s - 2s - 15 c)…

A: Note : According to the company guidelines we can solve only first question please post other…

Q: Evaluate L{e at Cos kt A. (s-a) +k 2(s-a) sta B. (s+a) +k² 2(s+a) a. С. (s -k)-a² 2(s -k) D. (s+k)*…

A: Given : Le-a t coskt-π2

Q: 2s 18\ L. L-1 s2 +9) a. cos 3t - 6sin3t ẩj2cos 3t – 6sin3t c. 2cos 3t - Rsin3t d. cos 3t – 2sin3t

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Q: L(cos3t) = S .a O s²+9 S .b O s+9 s2 –9 3 s2+9

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Q: -7-65-4 -3 -2 -1 -1 -2 -3 -4 -5 { -2 if x E | f(z) = { 4 ifx E Basic Interval %3D ( 3 ifx e DNE…

A: topic - functions

Q: (h) When, for 0 st < o, is the particle speeding up? (Enter your answer using interval notation.)…

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Q: If 7'(t) = (cos t, e2t, 3t²) and r(0) = (3, 1, –2), find the function 7 (t).

A: Given. f'(t) = (cos t , e2t , 3t² ) To calculate the vector function are we need to integrate the…

Q: SHOT# BS Hエ ELEV Remarks FS BM- A 1.567 200.000 Tp-1 199.333 3.579 197. 88 Tp- 1.136 197.709 196.573…

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Q: 0.08e Determine p' (x) when p(x) Select the correct answer below: O p (#) = 0.08e p'(x) = 0.08(- -).…

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Q: Consider the following difference equation: fk k = 0, 1, 2, · . . 1+ fk' fk+1 = with fo is…

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Q: (a) if f (t) = tet cos 5t then L{f(t)} =?. 4s2 + 19s + 52 (b) if F (s) then L-1{F (s)} =? s (s2 + 4s…

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Q: H.W SKet ch the following 1- y x2-2x-3 2- y = X3-3X +1 2X 5-y% = X-3 7- 9= x"5 X-1 9-9= %3D X2-4…

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Q: (b) the area under the z curve to the left of –0.69 (c) the area under the z curve to the right of…

A: Finding Areas under curve  (a) Area under the Z curve to the left of 1.77 P(Z&lt;1.77) = 0.5+…

Q: 3. L sinh %3D 4s .a O 4s²-9 3s .b O 3s2 - 4 12 .c O 16s?-9 9s 9s2-16

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Q: Q5: Example. Let Rx {0, 4 2 4 * *} such that %3D Find E[sin(X)].

A: Given that RX=0,π4,π2,3π4,π To find: EsinX

Q: :S- iven : alue of AB 3 8x+1 4x- dx. If we let the substitution" = 4x-5, the final answer takes the…

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Q: Solve this ODE by Heun's Method and h = 0.1 to find y(0.2) y' = -3x ,y(0) = 0 0.04 O 50 1 50 3 50 1.

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Q: f(t) = e3t + cos(6t) – e3t cos(6t) As4 + Bs3 + Cs² + Ds + E F(s) Fs5 + Gs4 + Hs3 + Is² + Js + K

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Q: Let &(t)-(a cost,a sint,bt), then T(t) 1s: (-a sint,a cost,b) (-a sint,a cost,B) (a sint,-a cost,b)…

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Q: 2) Use completing the square to find the following: s+4 а) L-1 ans: e-2t cos2t + e¬2tsin2t (s²+4S+8)…

A: We have to answer the following... a. L-1s+4s2+4s+8b. L-12ss2+12

Q: az a2z az a2z at ax2 23. If z = sim(x+ sint), show that дх дх дt

A: Given,Z=Sinx+sintto prove∂z∂x·∂2z∂x∂t=∂z∂t·∂2z∂x2

Q: Use Euler's method to solve the following ODES wwwwwwww dy dx = -2y + 4e¯*, with h = 0.18 from x = 0…

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Q: Find L{(t-1) (2 – 5 sin 3t)} O 2 s2 2 5s 30s - s2+9 (s² –9)² 2 2 82 15 30s s2+9 (s2 +9)² 2 _ 2 15 15…

A: We need to find the value of L{t-12-5sin3t} Formula to be used L{tkft}=(-1)kdkdsk(Lft), L{t}=1s2,…

Q: E = 115,000ejo M = cosh (0.05 + j0.5) A = 400[cos(5)– jsin(5)] T = VM² – 1 200,000,000ejo.241 H %3D…

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Q: Q3) Express cos(x²) as a power series. а) 1. 2! + 6! 4! x10 + 3! x14 +. 7! b) 1– 5! c) 1– x5 x7 + 7!…

A: To express the function cos(x2) as a power series. Here, note that the power series of the function…

Q: Consider the following. YA (停) -1 Find t and the terminal point determined by t for each point in…

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Q: E = 115,000ejo M = cosh (0.05 + j0.5) A = 400[cos(5) - jsin(5)] T = VM² –1 200,000,000ej0.241 H = ЗЕ…

A: Given that E=115,000ej0, M=cosh0.05+j0.5, A=400cos5-jsin5T=M2-1 and H=200,000,000ej0.2413E We have…

Q: ues of M = 1

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Q: Find L-s+9)2–36 e- 76- –9t sinh6t 16 e-cosh6t 6. 16 e "cos6t 16 9t

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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: 3. Solve the following ODE by the method of variation of parameters:( y =ulyl + u2y2) 6 y"- 5 y'+…

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Q: Ln 寸 M C MacBook Air 21 22 of'(-1) ~ -3 of'(-1) × 3 o f'(-1) ~ –10 4. 3. 2- Sp8乙k +++ 2+ 2. 3+ 4. 5.…

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Q: 6. Suppose an 2 0, and a, diverges. Show that C dn diverges. an+1

A: For the solution follow the next step.

Q: ½₂ [21:46667] ² = 32-2 [2001-cose)] Thén .89.9

A: Given 122×1.466672=32.2201-cosθ

Q: ja)Suppose that Fol= L{f(+)}, G(s) = L{g(4)} check it verifie -+(f(+) *g(+))}= F'cs) GcS) + Fs) G0)…

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Q: T:R R Determine Kernal 07 linear Tansfomition

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Q: e 8(t – 3) dt = e^15 cos(31)6(t – 5) dt =

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Q: (b): Solve the following ODE by Ralston's method y'(1) = y-Y_+°, 1<t<2, y(1) = 2, h= 0.5.

A: The given ordinary differential equation is, y't=y-y2t+t3,     1&lt;t&lt;2, y1=2, h=0.5 To solve it…

Q: L = {cos² (3t)} L = {e-#£} 1 s2+72 (s+3)³ 1. 2s 2 - 2s2+72 (s+3) 1 2 2s s2+72 (s+3)² 1 + 2s 2s2+72 2…

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Q: Find L[t cos 8t] s2-64 (s2+64)2 8-s (s2-64)2 64-s2 s2+64 8+s 82-64

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Q: 1 s³(5- 2)(5 + 2)' Select one: a. sinh2t O . ?e cosh2t C. t?sinh2t d. ?cosh2t е. t² e sinh2t

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Q: L(e2"cos3t) = Select one: а. 3 (s +2)2 +9 b. s+2 (s + 2)² +9 с. 5-2 (s - 2)? +9 d. (s - 2)2 +9 e.…

A: Using the table of Laplace transformation, it can be written that: Leatcosbt=s-as-a2+b2.

Q: e Lim 2. 5+s2 y4 3 Lim (4) Lipn J+ Cos늦

A: 1. lims→∞(ss+1)(s25+s2)lims→∞s×s2s×s211+1s11+5s2= 12×2=14

Q: Solve the ODE (t+1)=ty

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Q: th isr't rong r = 100 cos 20 (f ·g)' = fg' + f\g] i = (-200 sin 20)0 dr d?r dt dt2 do d20 = dt dt2 f…

A: The derivative of a function f(x) at any point x=a represents the rate at which f(x) is changing…

Q: Enei Jan-19snk[(2n – 1)8] = %3D Select one: CO a. súnh(sink8) 4 Obsink(sink8) 4 3. o d. sinh(4sink8)

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