Consider the piecewise function f(t) given below. 2-t if t < 2 t² if 2 ≤t f(t) = a) Use the unit step function to rewrite the function in the form f(t) = fo(t) + u(t — t₁) (fi(t) — fo(t)). Express f(t) as a function of t. f(t) = b) Use the first shifting theorem to find the Laplace transform of f(t). Express the function of s. F(s) =

Q: Find and sketch the domain of the function. MY NOTES ASK YOUR TEACHI f(x, y) = Vx – 6y 30 y 10 20 10…

A: First of all you will graph the equality that is respect to the given domain.

Q: Q1. Let f(x) = V2-x,g(x)=/5+x, then find the following : (1) (F-g)(- 1) (ii) (iii) domain of…

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Q: Find F as a function of x and evaluate it at x = 2, x = 5 and x = 9. - $² = F(x) = F(2) F(5) = F(9)…

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Q: find the domain of the given function. f(x, y) = X-y %3D D=R -{(a,-a)}.A O D=R?-{ (a,-a)}.B O…

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Q: 5. (a) Let f: S T be a function, and A CT and BCT be subsets. Show that (A-B) = f-1(A) - f-(B). ww

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Q: dy a. Decompose the function in the form y = f(u) and u = g(z), and then b. find as a function of z.…

A: y=2x+34

Q: AJ Find the derivative of the function: In(tan(sinx) + secx). A If v = eu 1Infs

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Q: Let f:R → R be the function with rule f(x) = 5x + 2, and let g: R → R be the function with rule y –…

A: To find  f0g(-1)  And  f0g(6)

Q: Derive the autocorrelation function of: x₁ = $xt-1 + εt + 0€t-1 assuming that p < 1, and E(?) = 0²,…

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Q: (p²+1)² ; P € C\ {+i, -i}

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Q: of Əf Find and дх ду Əf дх — II for the following function. f(x,y) = (5x – 2y)5

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Q: The domain of the function' f(x)=√ is Select one: O a. (1,00) O b. (-∞0,1) O c. (0,00) O d. 0,1 Oe.…

A: Domain of the function

Q: Refer to the functions f and g and evaluate the functions at x =-2. f = {(2, -1), (1, 1), (-4, -6),…

A: (f+g)(-2)=f(-2)+g(-2)  Substitute   f(-2)=-8  ,    g(-2)=-5in the above equation

Q: Evaluate the function s(t) = vt+2 at the indicated values. a) Find s(-2). b) Find s(14). %3D a)…

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Q: If f(z) = u+iv is an analytics function.where u and v are conjugate function. Given one of these say…

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Q: Find f(x) and g(x) so that the function given can be described as y = f(g(x)). y = (x³ + 1)² [?] = […

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Q: Let f:R → R be the function with rule f(æ) = 2x – 1, and let g: R → R be the function with rule g(y)…

A: To find  (g0f) (10) and (f0g) (7)

Q: The figure defines a function f from A={r, s, t, u} into B={a, b, c, d} in the obvious way. Which of…

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Q: Find and sketch the domain of the function. f(x, y) = √√√√4x²-√√25-y² O -6 DO -4 -6F 4 6 -6 -4 4 4…

A: The set of points (x, y) where the function f(x, y) is called the domain of f(x,y).

Q: Consider the functions f (x) = Vx – 4 and g(x) = Vx – 4, are their domains the same or different?…

A: Find the domains of the given function