t can be shown that the LS estimators are Σ₁(Yt-Y)(t - t) Σ1(t − 1)2 B₁ =

Q: 1– 2s F(s) = s² + 4s + 5

A:

Q: Find f(t). f(t) = = - 3s 1 - s²(s + 1)³

A:

Q: If g (t) = 2t³ + 5t², find all t for which g' (t) = 0. t

A:

Q: Compute T₂(x) at x = 0.7 for y=e" and use a calculator to compute the error |eª – T₂(x)| at x = 1.5.…

A: To find- Compute  at  for  and use a calculator to compute the error  at .

Q: 5 E(3k – 1) k= 1

A: Concept : summation of N natural numbers is ∑1Nn = N(N+1)2                              if a is…

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A:

Q: Differentiate the function. y = In(16 + t – P) %3D y' = 1– 3r² 372 6 +t-t -- 6 + t- r 2 6+t-t

A:

Q: Find f(t). f(t) = L 6s - 1 s²(s + 1)³) {

A:

Q: Let f(x) = x + 9x and g(x) = 5-x. Find (x) and (2).

A: The given functions are: f(x)=x2+9x, g(x)=5-x

Q: 1.3 Find a, for f(t) = t - t, - 1 < t < 1; f(t + 2) = f(t) %3D

A:

Q: let x= et then by the chain rule d3x/dx3 equals

A:

Q: Let F(s) = 1 (2s − 1) (2s − 3) - Find f(t) = L-¹[F(s)]

A:

Q: If T, is an MVUE of y (0) and T, is any other unbiased estimator of y (0) with efficiency e < 1,…

A: Answer: For the given data,

Q: Find the second order derivation for y = e-3x².

A: d2dx2e-3x2

Q: Suppose 10% of the population of WVU students has tested positive for COVID-19, W, represents the…

A: Let,  W1 represents the part of the population that has tested positive.   W2 represents the part of…

Q: Find F(s). F(s) L{(7t + 1) U(t − 1)} Te -S s² 2 S + 5e S -S X

A:

Q: Find the absolute extreme values for a(z) = 6 - 476 on [1,2].

A:

Q: W = 0.3RX +0.7Ry, where Rx is the stock return from investing in stock X and Ry is the sto investing…

A:

Q: The response Y(s) = 3 / (s2+4) is likely Choices: Underdamped, Critically damped, Undamped,…

A:

Q: Suppose that r¹(t) = and 7(0) =. Find r(t) r(t) = < V

A:

Q: Given x (0) -2,x (1) =1, x (2) =2 evaluate X(k) by using DFT.

A:

Q: Find f(t). e s2 + 1

A:

Q: Find F(s). {16e + 1) Wce - 13} (6t + 1) U(t F(s) =

A: We have to find Laplace transform of given function using Heaviside Shift Theorem.

Q: L{ (1-t) 2}= %D 2 1 | .a S s2 S 1 2 | s2 s3 .b S4 1 1 2 .cO - s2 S3 1 2 s² 3.dO

A:

Q: 1. The E (]x – µ|²) is equivalent to St(x - 4)? f(x)dx + S"(x – 4)²f(x)dx . True O False

A: Solution

Q: 3 4. If y = t3 + 3t? and x = t - 8t2, show that y" = 16t(t+2)(t-2)3

A:

Q: e-s s(s + 1) ]) «(-| f(t) =

A: Here we have to find out inverse Laplace transform.

Q: Find F(s). F(s) = L {(4t + 1) U(t − 1)}

A: The given problem is to find the Laplace transform of the given function.Given function f(t) =…

Q: ») If y = Σo (k + 1)xk+3 then y' = Σo

A:

Q: (9) Let X z b(n,) and E(3x) = E(3– 5x) find n.

A:

Q: (d) x(s)= s+1 s(s+4)(s+3) -0.5s

A: To find x(t)(d) .