Σ E(k? + k) = (k² k=1 3.

Q: W Airport E -0° X = X

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Q: 10 X =1.2 is to be sol he initial approxima

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Q: gien oferdone (D- JI) (D +3I); the to the grven finctions e-3%

A: (D-2I)(D+3I)=D2+3D-2D-6I=D2+D-6I Apply the operator on e2x…

Q: Using the Convolution Theorem, what is L[h(t)]?

A: In this question, we use the convolution theorem to find the Laplace transform of the given function…

Q: (a) Y(s)-e-5s (85-3) s²+6s+12

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: 2*k!(x – 5)* 28. E kk k=1

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Q: tes, sno W inut E [XY] = E[X] E[Y] E [g1(X) g2(X)] = E [g1 (X)] E [g2 (X)1 and

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Q: 3) FIND A PARTICULAR SOLUTION OF THE ODE y"+8y-20y = 2x +5 - e?X %3D

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Q: What is the value of k if any So kxe* dx = 1

A: This question is taken from the Definite integral in which we have to find the k value by solving…

Q: 1 lim E n→ 00 i=1 'n² + i?

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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: For ey – In x=y2, find the value of k so that (y'-y"')=1 at y=0- e O 1 O e

A: Solve by double differentiation

Q: O Solve the eguation, Kdz x dz - gdz +ze (tya) Ans OF THS + -z) =0

A: This is linear equation so we can use Lagrange auxiliary equation to solve this problem.

Q: Q4 / Using the fixed-point iteration, determine the root of the function -x2 + 1.8x + 2.5 0, using…

A: image is attached

Q: Q1 Find root of equation f(x) = In (x')-5, using N-R method in [5,6] with e S0.0001, take E=|x1-x,…

A: Note: It is assumed that the N-R method is the Newton-Raphson method. The root of the equation…

Q: Calculate SN given by Simpson’s Rule for the value of N indicated.

A: In this Rule, N is an even number and h = (b – a) / N. The y values are the function estimated at…

Q: 8s – 3 F(s) s2 – 36

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Q: = x3 + x - rith starting d with the of x after the

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Q: O we N. P.M. to estimate the root of -X for on initial guess of Xo

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Q: Q4 / Using the fixed-point iteration, determine the root of the function -x2 + 1.8x + 2.5 = 0. using…

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Q: Since a certain virus has been contained in Wakanda, researchers has proven that it will be…

A: Given that,  a certain virus has been contained in Wakanda. Researchers have found out that the…

Q: 1) E k=1 4-

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: (8 - 1)e-2s S. F(s) = s2 – 2s + 2

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Q: (b) Guess the value of x^e-X dx when n is an arbitrary positive integer.

A: ∫xne-xdxlet u = xn+1→dudx = (n+1)xndx = 1(n+1)xndu ; x = u1n+1∫xne-xdx = 1n+1∫e-u1n+1du⇒∫e-u1n+1=…

Q: E-o(-1)"(n+ 1) x“ = (1+x)² 1 2.b) for |x| < 1 %3D n=0

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Q: L(cosh 4t) = %3D .a s²-16 .b O s2 – 8 .cO s²+16 S

A: option :- a

Q: nx) in the E 2n is

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Q: SAS K Y %23

A: Given figure, we have to state the congruence required to prove the congruence of triangles using…

Q: K(t)= 20+ 11t K(5)3D %D

A: We are given k(t)= -20 +11t

Q: at k ( k) = n(k-₁) fo 1) for in

A: To prove, knk=nn-1k-1

Q: If k> 0 such that k S x 8k dx = 7 then

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Q: Px+5 N 49 If AJKL ANMP, find the value of x. x- 7. 9x +1

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

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Q: 3t when LI 1 ニe then L %3D S- 3 S-3

A: If Laplace transform of the function f(t) is denoted by Lf(t) or F(s), then the Laplace inverse of…

Q: • In4 Evaluate: S„n* Sn³ n2 e-x+y+z_dx dy dz

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Q: 1 x? + k by considering several cases for the constant k.

A: Let k be equal to a2. k=a2a=k Use the formula ∫1a2+x2=1atan-1xa ∫1a2+x2=1atan-1xa∫1k+x2=1ktan-1xk

Q: m m n т +n b. E k i) k - i=0

A: Please see the below picture for detailed solution.

Q: =] Verify n(n + 1)(2n + 1) 6 j=1

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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: Q5: S x dx ajconverges to 1 bjconverges to cconverges to- 4. d)diverges 25-2

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Q: A ball is thrown vertically and it's height above the ground is given by s(t)=1.2 +28.1t - 4.9t.…

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Q: If y = Eo(k + 1)z*+3 then y' = .

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Q: 2x + 2. Find y' if e?* 3y = x² – In (xy³).

A: To find y' e2x+3y=x2-lnxy3

Q: 2s – 3 F(s) s2 + 2s + 10

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Q: c- Verify Clairaut’s Therom f(s,t) = s²t + In(t²-s)

A: In the question it is asked to verify Clairaut's theorem for the following function given in…

Q: P(-0.34<Z < 2.46) = (Using table E) %3D

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Q: Find y(0) and y(inf) for the following  Y(s) = (s+2)/(s^2+2s+10)

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