3.50 Use the defining equation for the FS coefficients to evaluate the FS representation of the following signals: (a) x(t) = sin(3t) + cos(4rt) (b) x(t) = E-- 8(t – m/3) + 8(t – 2m/3)

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A: image is attached

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Q: [4] (a) Use the most accurate three-point formula to determine each missing entry in the following…

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Q: 9. Evaluate f(e* + 2*) dx a.) 2e* + +C In2 b.) er + 2ln* + C c.) e* ++c d) e* + 2ln x + C In2 10.…

A: Evaluate integrate. And follow step 2nd .  According to guidelines we solve only first three parts.

Q: 7) Use Theorem 7.1.1 (Table) to find L{f (t)} for the following: F()=cos(V2 t)+ sin(3:) n(3t) b. =…

A: Given ft=cos2t+sin3t

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A: Given that function rt→=lnt,cos2t,t-2To find : Domain Solution: rt→=lnt,cos2t,t-2t&gt;0,t-2≥0

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Q: 1. Use the properties of the shifted Heaviside function u(t-a) and delta function (t-a) to evaluate…

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Q: 3 Use the definition 平grien FuncTionsEat'co,): for ー X+y X-ツ ix=ツ ) fory) =) singty4) ーty2 (x) #…

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Q: 20.7. Show that the following functions are entire: e2z (a) f(z) = 2 e"-1-? for z # 0, sin z for z +…

A: Since you have asked multiple questions, we will solve first one for you. If you want other question…

Q: Show that the p.d.f. of Z? is given by g1(x) = cosh(vAr), x > 0, wh cosh(z) = }(e² + e-=) is known…

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: 3. The following data are a part of a table for g(x) = sin(x)/x² 0.1 0.2 0.3 0.4 0.5 g(x) 9.9833 |…

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Q: 2. Evaluate these derivatives BJ(J+1) ON calculate aJ a) Given N = (2J +1)e RT

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Q: The function f(x) satisfies the hypotheses of the Mean Value Theorem on %3D cos(z)+1 Select one: a.…

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Q: 1) A function f (x) can be linearized around x provided that 8x is very small f (x + 8x) = f (x) +…

A: Topic:- function

Q: 10

A: Given DataMoment Generating function of X is

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Q: Let G (x) = L sint dt. %3D Which of the following statements are correct? G(x) is a composite…

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Q: Sketch the following functions and perform horizontal line test to verify if they are…

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Q: Determine the inverse of the particular Tô given by -s0 0 co 0 0 0 T = T/T²T²T² = [co se 0 0 1 0 dco…

A: given matrix T04=cθψ-sθψ0dcθ-hsθ-fsθψsθψcθψ0dsθ+hcθ+fcθψ00100001 claim- to find the inverse of the…

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A: Below given clear explanation .Have a look in hand written solution below

Q: Consider the function f(x)=2.5x−cos(x)+1 on the interval 0≤x≤1 The Intermediate Value Theorem…

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Q: What is the average of f(x)=2 cos (x) + 2 e between x=-3 and x=2 12- 10- -3 -1 00 8 6 2- 0 T 1 X 2

A: Q

Q: Find the function f(x) = a + b cos Tx +csin 7x interpolating the data {(0,2), (1/2, 5), (1, 4)}.

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Q: The Wronskian 1. Show that the functions e", cos x and sin x are linearly independent. 2. Show that…

A: 1. The functions ex, cos x and sin x are linearly independent.2. The functions 1, sin2x and cos2x…

Q: 5) Find the following of the function f(x,y) =xy+cos y+ysin x

A: To find: The partial derivatives ∂2f∂x2,∂2f∂y2,∂2f∂x∂y. Given: The function is fx,y=x2y+cosy+ysinx.…

Q: Suppose that f(t) is the half-wave rectification of sin kt, shown in Fig. 7.5.16. Show that L{f(!)}…

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Q: Q1: Find the even part and the odd part of the signal: x(t) = (1+ t³) cos³ 10 t

A: We know even component =(x(t)+x(-t) )/2 Odd component= (x(t)-x(-t))/2

Q: 4. Let G(x) = | sint dt. Which of the following statements are correct? (a) G is the composite…

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Q: 1.8.9. Let f(x) = 2x, 0<x < 1, zero elsewhere, be the pdf of X. (a) Compute E(1/X). (b) Find the cdf…

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Q: The value of f(2) for the function f(x) = cos (x³) using forward finite difference with (h = 0. 15)…

A: The formula of the forward finite difference method is derived from the Taylor theorem. Substitute…

Q: Find the greatest value of F (x)= | (6 . cos t - 2 sin t) dt 5 7/3 in the interval [5/3,7 t/ 4|.

A: Fro the given problem: Fx=∫5π/3x6cost-2sintdt Now solve the above definite integral,…

Q: In the diagram below, the graph of f(x) = -2 cos x is drawn for the interval 0° szs 3609 %3D 0° 180°…

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Q: 4% Define the given functions s f1(t)=1; 6 f2(t)=(3*exp(2 t) +6"sin(5 t) +2*t^2)^2; 7 f3(t)-(2*sin…

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Q: Consider the following. w = √36 - 2x² - 2y², x = r cos(8), y = rsin(0) (a) Find aw/or and aw/00 by…

A: We can solve this as follows:

Q: 1. (§5.3, Q6) Find the general antiderivative of f and check your answer f (x) = 4x' – 3 cos x. by…

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Q: 14. Which of the following does not require the use of the chain rule to find y y = cos ¹(10x5 - x²)…

A: Given problem:- Which of the following does not require the use of chain rule to find dy/dx? (A)…

Q: 13.Find themodimum.rabe.f.change.of.f.(xig= Sinxy at..P.(.!,)...and. the.dicectain..w.hich..o.cenr .

A: We have given f.  And we have to find the maximum rate of change of f at p.

Q: Given f(2) = . t2 – 1 dt 1+ cos?(t) At what value of x does the local max of f(x) occur? x =

A: Given the function

Q: The domain of the function f defined by is equal to: Select one: O True O False 7 cos(x)+y² In…

A: This question is based on logarithmic function.

Q: Q2: Find the even part xe(t) and the odd part x.(t) of the signal x(t) = (1+t³) cos 10t

A: The given function is  xt=1+t3cos10t The value of function when t becomes -t will be…

Q: 15. Determine if the given functions are linearly dependent or independent. (Prove your answers) {e…

A: 15.  a) Given, e2x, 3x Now the Wronskian is, Wf, g=fxgxf'xg'x=e2x3x2e2x3=3e2x-6xe2x≠0 Since the…

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A: Differentiation: y=tan(7x2+2)dydx=sec2(7x2+2).ddx(7x2+2)dydx=sec2(7x2+2).(14x)dydx=14xsec2(7x2+2)

Q: One of the following sets of functions is linearly dependent {e3x, e 3} {x², 2x²} { sinx, cos2x} O…

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Q: Find all critical points of the following functions. c(θ) = cos(2πθ).

A: Given , c(θ) = cos(2πθ) By differentiating and equating it to zero we get critical points.

Q: H.w: Find the LT of the following functions: 3-f(t) = cosh at cos at

A: Given, f(t)=cosh at cos at