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Q: 23Construc a Formal Proof of (3x) (Tx. Bx) 202217649yFob the given argument: (x) [Tx> (Fx. Dx) (3x)…

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Q: Given the functions Ax). and g(x) = determine the value of - COS X 10+x %3D 03 O 11 O V11

A: we are given f(x)=cosx,  g(x)=10+x and we need to find the value of the composition function g(f(x))…

Q: 0 eg put (1) in f|L) = < ² cos(21), 3 siu (22), A 3√5 355 255 f(2)= < 3105 |24] 3sin (22) L

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Q: Q4: A) solve: 1+xsin 1) lim- y0 1+xcos sin 2) lim -2m 20-4

A: Note: We are entitled to solve only one question at a time. To Find: i. limy→01+xsin1x1+xcos1xii.…

Q: find where itin creasing awd deveas ihng also fî hl the alobal maximum and minimam. himan f…

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Q: Find: L[ 2t°+2 sin²2t _ 3tže2t] Answer:

A: As we know that; The Laplace transform rule; If Lft=Fs then Leatft=Fs-a From the given problem:…

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Q: EX: Find the Z. T. of X(X) = cas wok u(k) 8 iwok -iwok Sol:- X(Z) = - IN Σ coswok. Z k=o == {(² z ¹²…

A: What is Z-transformation: A mathematical technique called the Z-transform is used to transform…

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Q: Q.: Find the radius oP- and the interva l Co nvergence of Gnvergen ce (x-2)" Incn+4)

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Q: Q5) Evaluate the integral 0.61-10 (6.73x + 4.3025 - 10- dx 2.316 • 10-11 122-10- Using trapezoidal…

A: The solution to the integral can be calculated using numerical methods. The formula for the…

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A: Given, limx→∞x3-5x+43x4-3

Q: 4. Use residue theory to calculate the following integrals: 3.x (x2+49)(x² - 2x + 5) (a) P.V. (b)…

A: to solve integration we first find the residue of pole of the given function of upper half plane and…

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Q: -Arctan + dx The integral of the given function S (x²+4)2 is Arctan + C 8(x²+4) 16 b. - Arctan- + а.…

A: Given:   ∫dxx2+42

Q: Q6. Let u be the Lebesque measure on B(R). Calculate (i) µ(S), where S={tn-, n e N} %3D (ii) µ(3,…

A: (a) Let μ be the Lebesgue measure on B(R)We have to find μ(S) where S = 4n-1n+3,n∈ℕWe can clearly…

Q: Q5) Find the root of f(x)= 5 sin(x) + ex² by using bisection method take a= -1.25 and b= -1.0 for…

A: Given, fx=5sinx+ex2. Here, a=-1.25b=-1.0 Now,…

Q: (a) (b) Evaluate S 9xsin (2-3x)XAMIMATION dx. *1*: FIDENTIA Evaluate 1 9x² +6x+ AL 123 CALCULU by…

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Q: Usef (x,4)= sin x cosy for each parts fohowing of the s 0 find the Sact direchion ol manimal…

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Q: DFor the rational function, FlZ)=I+2 アーリスース follawing features show yaur work. identify the a)…

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Q: Steve uses the trignnometric substitution tan ()to evaluate / e) de After simplification, the…

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Q: iid, Let X1, , X"N(u,0²). Which is more efficient i, = X + }X,or îz =* (a) lz for n>5 (c )µz for all…

A: An estimator is said to efficient estimator if the variance of that estimator is less than the other…