Determine. '{F}. 4s2 + 3 sF(s) – SF(s) – 2F(s) = - s + 4s

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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: 10. f(1) = –0.5 and f(n) = f(n – 1) – 0.5 for n>2 %3D - -

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Q: 8. Is the set of functions f₁(x) = 3e³x and f₂(x) = -3e3³* independent? Show using the -3.x…

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Q: Bind/x(n) X(n) if XCZ) Z² (Z-1) (Z-0.5)' Z² N

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Q: 5- Find L-1 5² (s²+4)² by using Convolution theorem.

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Q: 2 3 Compute fyz, if fx, y,2) = x² -x³y² -z'. %3D xyz» OA7 B. 5 OC.0 D. No one correct. O E. 6

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Q: 8.) if z = x +jy, then Rez + Imz= (2+2) + ½/₂ (2-2²)

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Q: Suppose J. 3sf(x)s5 for 2sxs8, how small can f (8) possibly be if f(2) = 10? State necessary…

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Q: 4- compute dw dw дх' ду at the point (-2,3) if w = (2x + 3y - 1) ²

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Q: Find the derivative. 4х — 3 y = 7x + 9 7(4г — 3) — 4(7а +9) (7ӕ + 9)2 4(7ӕ + 9) + 7(4 — 3) (7а + 9)?…

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Q: ++4 if X < 3 f(x) = { x2 + 1 if -3 sx<5 %3D x-7 if X25

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Q: 3- Suppose that s(x)dx 5. Find A- B- S V3 f(2)dz D-

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Q: 2. and XR %3D C. Two tails with n = 34 , x =

A: Solution: From the given information, level of significance is 0.01 and n=34.

Q: Find solution n f(x) 300 2.4771 x (301) using newton backward 304 2.4829 305 2.4843 interpolation…

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Q: convcrges for all r. n! n=1 Σ 24. Show that

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Q: Q9 Use initial value theorem and final value theorem to find f(0) andf(∞), if 6 + 7s2 + 5s F(s) =…

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Q: 1. v20x*y 6. V121x*y* = 2. V147a'b5 7. V625u1ºv16 15 11 3. 320p°q" 8. V224pq" 9. V27w²z° 13 4. V7…

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Q: 2. Find the first 3 iterates of the function f(x) = 0.75x when xo = 5. %3D 5, 3.75, 2.8125 4.25,…

A: First iteration is x1 = .75*5 = 3.75... Second iteration is x2 = .75*3.75 = 2.8125... Third…

Q: 2. Let f(x) = r³, 0, if reQ if r ER\ {Q} Show that f'(0) = 0.

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Q: Describe the long run behavior of f(n) = 3n – 4n³ – 5n° + 5 As n → - 0, f(n) → ? As n → o, f(n) → ?

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Q: find The Six Solutious of The eq- 6 Z+27+2

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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.…

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Q: on of two the lines L1: x +2y 3 and L2.

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Q: j. Min Z = 12x, + 8x, subject to: 4x, + 2x, 2 24 2x, + 2x, 2 10 2x, < 8 X,, X2 20

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A: Given∫-52f(x)dx=6∫-52g(x)dx=-3

Q: 6 4 for f(x, y) 3 3x у - 4x'у". 5 3 Verify that дх ду ду дх df 4 5 18y x - 20y°x of 5 3 4. 2 18x°y -…

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