Find the Laplace transform F(s) = L(f(t)) given f(t) = 0, t < 6 %3D 1(t-6), t> 6 F(s) = 120e^(-2s)/(s^6)

Q: write out the terms for the first four periods of the difference equation y_(t+1)= ay_(t - by_(t-1…

A: The difference equation represents the recursive relationship for the sequence , where represents…

Q: Let 7 (t) = Find 7' (t)

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Q: 13 Which function can the chart below belong to? A) y = x^ {1/3} (y =x to the {1/3}) t0 13 - B) y =…

A: In option A, the given function is y=x13 The table of values is: x y -1 -1 0 0 1 1 2 1.26…

Q: Find f', f'', f''' and f (4) for the function. f(x) = x° + 3 + 3x + 1 %3D f'(x) = Preview f''(x) =…

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Q: 3 Find f'(x)given f(x) = x/x – 4x – 7x %3D

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Q: If f(z) = z^(i-3), then compute f'(2) show full working

A: The given problem is to find the value of derivative of f(z) at z=2 , f'(2). Given complex function…

Q: 6. Evaluate * у" + 9у 3 0; у(0) — 2 , у'(0) %3D 9 2cos3t + 9sin3t 2cos9t + sin9t А. В. 2cos3t +…

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Q: "Let T_3(x) be the Maclaurin polynomial of f(x)=e^x. Apply the Error Bound to find the maximum value…

A: Given that f(x)=ex The maclaurin series is, ex=1+x+x22!+x33!+....+xnn! Where, T3=x44!+...+xnn!+....

Q: f (x) = arctan(e") ad f'(-1) =? find %3D 28 - O A) 1/(e+e3) O B) (e2)/(1+e2) (e2)/(1+e) O D) e/(1+e)…

A: Explanation of the solution is given below....

Q: Find f if f"(t) = 2et + 3 sin(t), ƒ(0) = 2, ƒ(π) = 5. f(t) = = 2e^t-3sint+ (2e^(pi) - 5)/(pi)t

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Q: A = [-2 3] 1 4

A: Given, A=-2314 AT=-2134

Q: Find S'(-1) if #(f(x))'+ 9z°f(x) = 2 and f(-1) = 2 I'(-1) =

A: To find f'(-1) first we differentiate both sides of  the given equation with respect to x and then…

Q: Given the function f(t)=e^{2t}sin(3t), find the Laplace Transform, F(s).

A: The Laplace Transform is a tool used to transform a function of a real variable t (usually time)…

Q: Let F(x) f(f(x)) and G(x) = (F(x))² and suppose that f(3) = 2, f(2) = 2, f'(2) = 2, f'(3) = 14 Find…

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Q: Find f. f'(t) = 8 cos t + sec²t, -π/2 < t < π/2, f(π/3) = 2

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Q: How do i find e(x), var(x) and e(x^3) using the moment generating function

A: Let us define the random variable X with moment generating function Mx(t).The moment generating…

Q: Find f(t). f(t) = 4s [{{1}} + ) u(t-

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Q: Let f(t) 5t4 - 2t + 6et. Then f'(t) = =

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Q: Laplace Transformation f(t) = t^3 sint f(t) = ( 1 + cosht) ^ 2 f(t) = sin ^ 2 ( t + π ) f(t) =…

A: Ans:Givenf(t)=t3sintThenLf(t)=?we  know  that Ltng(t)=(-1)ndndSnG(S),where G(S)=Lg(t)----(1)Here…

Q: Let 7(t) = FindF (t) 구' (t) - <| Question Help: OVideo Submit Question

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Q: 10t Determine la transformada de la función f (t) te". %3D O 1/(s-10)^2 O 1/(s-10)^3 O 2/(s-10)^2 O…

A: In this question, concept of Laplace Transform is applied. Laplace Transform The Laplace Transform…

Q: f'(x) = = Lº 1 + sec(7t) dr f(x) = sec (2) + 6 X Vì Hint: +== f*√²- 1 + sec (7t) dt = - √1+ sec(71)…

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Q: Find r(t) when r'(t)=(te^-t^2)i-(e^-t)j+k and r(0)=1/2i-j+k.

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Q: Find the Laplace transform g(t)={0  0≤t<5 ;(t-5)^2 t≥5 A. (e ^ (- 5s))/(s ^ 3) B. (2e ^8s)/(s ^…

A: Solution:

Q: 16 f'(t) = 1 + t2' f(1) = 0

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Q: S(x) 르 arcsin (금x + 1) -3 Let f '(x) = . a Find f' (x) giving your answer in the form TV (bx(x + c)…

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Q: Differentiate the function. fx) = (4 +x*)° - (1+x*) %3D f'(X) =

A: We have to find derivative

Q: Find the derivative of f(z) = In(z -+ O (A) f'(2) = 2² – 3z + 2i). | --2 V:-3:+2; 1 AB) ƒ'(2) = V-3:…

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Q: Find the directions in which f increases and decreases most rapidly at point P. Then find the…

A: Step:-1

Q: Let f(x) = 6x* /T + f'(x) =

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Q: Hw 2. Laleulate fez) dz = ? where Im(2) and cis

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