E k(k – 2) k=0

Q: by first- shifting find L(t2 e-3«) = %3D (s+3): ; * 0 a O (s+3) 2 * b O 3.cO (s+3) 3 1

A: Solution:- Correct option :- a Detailed explanation

Q: Find y(0) and y(inf) for the following  Y(s) = (s+1)/(s+2)

A: First, we need to find the inverse Laplace transformation.

Q: The number of computers N (t) (in millions) infected by a computer virus can be approximated by 2.2…

A: Given data is: Nt=2.21+17 e-0.82t

Q: 1 z/2 Find ' (x) if k(x) = e Provide your answer below: K(x)=

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Q: 2*k!(x – 5)* 28. E kk k=1

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Q: Show that kT| e-t²/kTdt = (kT)3/2 " 0. 2

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Q: Find the function with deriative f' Ga) = e5x tht through passes %3D the point P=(o,4/5)

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Q: Q3:B. Find the convolution between the signals h[n] and x[n] shown in Figure below using analytical…

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Q: If F(s)= 1 & G(s)= s+1 1 → Calculate the convolution ƒ (2) * g(2)=? s -1

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Q: (-1)* x* k! k! k=0 k=0 2k а) 2 (k!)* k=0 b) 1 (-1)*. (2k)! k 2k k=0 d) 0 e) None of these.

A: Expansion of Exponential function

Q: TL ( - k) = | k-1 a. 6n + (n + 1)(2n + 1) - b. n(n + 1)(2n + 1) c(n²-1) C. O d. n3 e. 00 f. 플 (n +…

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Q: Q4: Solve the following O.D.E: (xy)ý = (x2 + y²) with the initial condition y(1) = 1, on the…

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Q: Find the first term of: E (-1)n+1 (z+1)" n=1 3D1 O (z+1)^2]/2 Z+1 -(z+1) no solution

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Q: 4. Ifu = f(x), then : dx = J x* + 2x² + 1 k + C for some constant k. x² + 1 Compute kf (1). (a) ¼…

A: The given integral is ∫xx4+2x2+1dx=∫xx2+12dx To compute kf1

Q: If L{f(t)} = F(s) 3(s+3) and f(0.5) is s2+6s+8 e + 1 e2 (). given by K( : then find the value of K

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Q: b) Show that MsE(S²) = (п-1)* c) You are given another estimator of o? which is T² = = (X; – X)² i=1…

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Q: Find the value of k that makes the antidifferentiation formula true. (1– 10x) 1 dx=k In 1= 10x + C…

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Q: 9x e n.n (- 1)" g"x" O A. 2 n! n= 0 О в. 9"x" Σ OB. nl n=0 (- 1)^ g"x" O C. 2 nl n= 1 9x O D. E

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Q: Solve the following O.D.E: (x2 + y?) ý = xy with the initial condition y(1) = 2, on the interval I =…

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Q: 3. The value of c is given by Vn А. /n+1

A: This is a limit problem

Q: Find the value of k that makes the antidifferentiation formula true. |(1- 10x) 1 dx=k In |1– 10x| +…

A: According to question given that ∫1-10x-1 dx=k ln1-10x+C

Q: a. b. INGIN IN C. + S (S-1)² e35 + 5-1 e-3s S 5+1 d. None of the above L{2+ (t-3)et-3 U(t-3)] = +

A: Consider:  L2+t-3et-3 Ut-3=L2+Lt-3et-3 Ut-3 Now, L2=2L1=2×1s                      since L1=2s So,…

Q: 5. Let X1,..., X„ ~ iid N(0, T). (a) Find the MSE for the usual unbiased estimator of T: ↑ = 4E X?.…

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Q: :find E10 (-1)(n-1) Zn=1 (n+1)2 %3D1

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Q: If y = E£o (k + 1) æk+3 then y' = Eio

A: A series representation of a function y(x) can be differentiated term-by-term to obtain a series…

Q: C. Temperature at 6 P.M. To=T4pm=84.2 t=2 k=0.4534 T(t)=Ts+(To-Ts)e-(0.4534)(2)…

A: Given query is to explain the procedure in the given solution.

Q: Let X ~ T(a, B). If E(X) = aß and E(X²) = aß² + a² ß². If â = X, find the method of B moments…

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Q: H.W Find a solution of by iteration for f (x) = x³ + x – 1 = 0 f rad point onethod

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Q: 13. Inx /A 1 + K в 1 B x3 + K 3 ei +K D 2 am +k

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Q: e(z – 1) The residue of f(z) = at z = -9 is -9e-9 (6+2)

A: Detailed explanation mentioned below.

Q: 2/ A/Find the G.S. for following D.E y = 1 -y"

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Q: 1 d) 2r- dz - r e² – e-z e) J ez +e-z° rp- In 3 f) 1 ez +e-z Ip-

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Q: A particle moves along the x-axis so that at time t >0 its position is given by r(t) = t - 7t + 13.…

A: Given: t≥0xt=t2-7t+13

Q: Q1: answer about the following questions brainly. B:find y' y= In(e-4x)

A: y = ln ( e^4x) find y'

Q: k E n(0.1)" Let Sk n=1 Find s3. S3

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Q: 5. Determine the range of K for stability of the following characteristic equation, (b) s3 + (K +…

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Q: - Find the instantaneous vełocity if the p defined as h(t) = 144 - 12t2 for t = 7.5.

A: we have to find the instantaneous velocity.position of an object in feet is defined as h(t)=144-12t2…

Q: a'(t) = -x(t – 1), x(t) = 1 on [-1,0], is given by 1(t) = E(-1)* t – (k – 1))* k! for n-1<t <n, k=0

A: As per the question we are given the following first order time varient differential equation :…

Q: Find the value of k so that the value of S,"(2y – 1) dy is 10. 1 2 3 4

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Q: 2と e こeo437 RK = k(-n.65)

A: To solve this problem, first we should bring all the terms with k to one side of the equation and…

Q: 1. If the pdf is 2x-2/K e^8x-4x^2 , 0 < x < 1 Find K.

A: 1. The pdf is given by  We know that,

Q: If L[f(t)] = what is L[e-t f(t)]? 2+1 es+1 (s+1)² 8-1 (s-1)2+1 (s-1)2+1 s+1 (s+1)² +1 O O O

A: If Lft=Fs then Leatft=Fs-a Now, we are given that Lft=ss2+1 Comparing it to Lft=Fs, we get, Fs=ss2+1…

Q: (k) E(-1)"-1. n+1 n=1 Vn +1- Vn – I (1) n=1

A: The given problem is to determine whether the series is converges or diverges using the appropriate…

Q: m M|L II k=0 CO M« Σ N சிய

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Q: If g (t) = L − 1 {e − 5s + 4}, a formula for L {e − 6t + 10g (t)} is

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Q: If we know that E (") (x" 1) = ("†").t then show that Eo (") -C") r3D0

A: Given information: The given theorem is:

Q: 11) Internet rentals affect "k" Video in such a way that the demand for rentals of its DVDS changes…

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Q: If Chai goes on a training program, he estimates that his fitness level (F), in n weeks after…

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Q: 1 al 1z(z -4)e – 4)e z=1

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Q: eAt = I + At + A²2 + + 2! k! k=0 o compute eAt and e-At (; ) 1 A = 0 2 eAt = e-At Need Help? Read It

A: Given, eAt=I+At+A2t22+...+Aktkk!=∑k=0∞Aktkk! A=1002A2=10021002=120022⋮Ak=1002⋯1002=1k002k

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.