A signal x(1) = u(t) €at is applied to a network having an impulse response h(1) = W u(t) e¯ W". Here a and w are real positive constants. Find the network response ?

Q: Find output response y(t) for the frequency response H(w)=1/(2+jw) and * (the input signal…

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Q: Let f(t) = 3t4 - 6t+ 3et. Then f'(t) =

A: To find f'(t)

Q: Pr[A'nB]=0.4 and Pr[(AUB)']=0.5. determine Pr[A]

A: GivenP(A'∩B)=0.4P(A∪B)'=0.5

Q: Deternine the type of linearly independent solutions of the ODE x2y" - 2xy' +3y = 0 %3D

A: We have to find general solution of given differential equation.

Q: 4. Determine u(z,y) and v(x, y) from the function f(z)=ze²

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Q: Let n be a positive integer. Define the function fn (2) by d fn (2) = n(2² + Find the value of f(-1…

A: Solution:Given: Let be a positive integer. the function is defined bywe have to find the value of

Q: Suppose that P(Xi = 1) =pi = 1-P(Xi = 0), i=1,2 If p1>=p2 , show that X1 >= X2.

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Q: Quest The moment generating function of X is given by Mx() = exp(2e - 2} and that of Y by Myt) = (e…

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Q: Show that 1/2 is an eventually fixed point for

A: T22 or T12 That can be proved as it will have the 12 in the equation, for any fixed point .

Q: Review for Algebra 2 Semester Exam 6. Find the value of f(2) and g(6) if f(x) = 5x + 9 and g(x) = 6x…

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Q: QUESTION 1 Let f(x) =x- 2 +8. Compute f-1(5): %3D

A: Given that         f(x) = (1/2)√(x-2) + 8  Here we have to compute f-1(5).

Q: Let f(z) = 10z + 6 %3D f (z) = Submit Question

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Q: The response of a system for an impulse input in the time domain is called excitation step response…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Let f(t) = 3t – 8t + 5e'. - Then f'(t) =

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Q: 3. Consider this function: g(x) =(r - 273) + 32. (a) Determine the function which will 'undo'…

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Q: The number of representatives of a political party, N, in a city council depends on the percentage…

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Q: Let f(x) = ax + b/x. What are the critical points of f(x)? i

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Q: f(t) = (t + 4t + 8)(7t¯² + 6t).

A: Given function is: ft=t2+4t+87t-2+6t-3 Then we get,…

Q: Compute using Lagrange Inerpolation f(-0.016) for the data (-1.5, - 14.1014), (-0.75, - 0.931596),…

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Q: Let F(x) =Cx41D, fCx)=X,and gox)=x+1 True or fals e (gof)(x) = FCX).

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Q: A third student keeps buying chocolate bars until he finds 5 prize vouchers. Let W be the numbers of…

A: The Expected number of prizes is 5 Let W be the number of bars bought before getting the 5 prizes So…

Q: Let f(x)=x²- 3 g(x)=Vx+7. Find f(g(2)) 8 О 12 О -12 O O O O

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Q: * /Q1 = V4 – vx are: The domain D; and the range Rf of the function f (x) : D; = [0,16], R; = [0,2]…

A: Let's find given function domain and range.

Q: Exercise 4. A train does not always leave precisely at its scheduled departure time. Let T be the…

A: The chances to catch the train will be as follows-

Q: Q2: Find the total energy of the signal: fcos*(«) -sts π (x) Sts. x(t) : 0.w. (-R2, 0) (x2,0)

A: We will integrate the function in the given range.

Q: Find a critical number of f when f'(x) = 2x³ + x² – 3x. (a.) x = NIW 2 (b.) x = 1 (c.) x = -1 (d.) x…

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Q: 1) Find the average value of the function f(x) = 3-4x + 5x² over the interval [-1, 3].

A: The function is given by fx = 3-4x+5x2 To determine: The average value of the function over interval…

Q: Describe the long run behavior of f(x) = x* As x → ∞, f(x) → ? As x → 0, f(x) → ?

A: This question is about function behaviour near infinity

Q: Let f(x) = In(x² – 14x + 52) f'(x) =

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Q: What is the average rate of change for a quadratic function f(x) = ax? + 2 and x = 1 for fixed real…

A: The given function is fx=ax2+bx+c. Compute the average rate of change of function fx=ax2+bx+c from…

Q: Let f(x) = Vx and g(x) = x³ +1. Find 29 a) f(g(2)) b) g(f(4)) c) f(F(16)) d) g(g(0)) e) f(2+ h) f)…

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Q: (e) [ - V TVT - 1 dr

A: to evaluate the integral.

Q: 6. Find an equation of the tangent line to y = f(x) : = tan¬(2x) at x = 7

A: Given,

Q: is ty'+2y=t^2-t+1 a linear ODE in standard form?

A: