Solve by Laplace transform Utt - 9urz = 0, 0 0 u(0, t) = u(T, t) = 0, %3D u, (x,0) = 0, u(x,0) = 2 sinx. %3D %3D

Q: 5: F(s) = (+2s+1) +7

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Q: Use a double integral to find the volume of the indicated solid, 71 6 2-6 3 21 X 5 9. y. 8. 10 10

A: Given the graph is

Q: Use Romberg integration to compute dr correct to three decimal places.

A: Given integration is I=∫01dx1+x Let f(x)=11+x Here a=0, b=1 if we take 1 subinterval, then h=1-01=1…

Q: Linda bought an 8 foot long piece of framing to frame her 2 college awards. One award is 8.5 inches…

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Q: Show that a6 +.

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Q: Evaluate the triple integral. SSSE 7xy dV¸ where E lies under the plane = 1+x+ y and above the…

A: We have to Evaluate the triple integral.

Q: Use the Newton-Raphson formula once to find an improved estimate of a solution to the equation 3x^ 2…

A: Given equation is 3x2 = 7e-x It can be written as 3x2 - 7e-x =0⇒fx =0Here, fx =3x2 - 7e-x First…

Q: Find the curvature and the radius of curvature at the stated point. r(t) = 4 cos(t)i +5 sin(t)j+…

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Q: 2. f(t) = V1+ sint + (7t)4 + sin 2t %3D

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Q: Find the Laplace transform of: 1. f(t) = e(-3t) sin(2t) cos(3t) cosh(t)

A: Laplace transferom of the function

Q: Evaluate L{t(uo - u) +tu)}.

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Q: dx 1+ax log 1-ах ) Evaluate

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Q: Consider the real sequence {an} given by an = In n – In(n + 1), n e N. Justify whether (a) it is an…

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Q: Set up a double integral to find the volume of the solid region bounded by the graphs of the…

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Q: xy? x2 + y? and f (0,0) = 0, then which of the following is correct? (2) Let f: R2 –→ R be defined…

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Q: 3 b.

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Q: Find the general edo solution: y'''' + y = 0   Please, someone help me!!!

A: Given differential equation is yIV+y=0. We have to find the general solution of the given…

Q: Verify that 2, is an eigenvalue of A and that x, is a corresponding eigenvector. = 13, x, = (1, 2,…

A: Note: Let A be a square matrix and x be an eigen value of A. A non-zero vector V is said to the…

Q: Find the line of intersection of the planes 2x – y+ 3z = 1 and -r + 3y + z = 4. Lütfen birini seçin:…

A: Given planes are 2x−y+3z=1 and −x+3y+z=4. We have to find the line of intersecting of the plane…

Q: Use the Babylonian's formula to calculate the area of a circle with diameter of 12 units. (roundoff…

A: In  Babylonian's table π = 3.125

Q: 1 N. 3 n + 2 (a) Find the smallest positive integer N such that Зп — 4 n2 (b) Determine whether the…

A: To find: Smallest positive integer N such that n+23n-4-13<0.01. for all n≥N. As per policy, we…

Q: A = 6 B = 4 C= 6 D = 4 b) Solve for the value of ?1 c) Solve for the value of ?2

A: Here given A = 6, B = 4, C= 6, D = 4 Then graph becomes

Q: Let S be the quadric with equation 36x2 – 4y2 – 922 – 36x = 0. %3D (a) Classify the graph of S. (b)…

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Q: Evaluate using Laplace Transform: f(t) = tcos 3t -dt e-4t

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Q: Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by the…

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Q: Evaluate the triple integral. TY sin(yz) dV, where G is the rectangular box defined by the…

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Q: consider the equation solution of the differential equation is of the form y" + ay' + by = f(x),…

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Q: Exercise (3-2): find Fourier series on [0,2n] Question Answer (1) f(x) = x/2 sin nx 2 2) f(x)=-x sin…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: ポーX 0<x<A (-1)"-1 sin nx 12) f(x)= COS nx + n<x< 27

A: According to guidelines,  I can solve only one question.

Q: A spring with constant k = 5 N/m hanging from the ceiling is placed at its lower end with an object…

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Q: Let C1 be the line segment from (1,0,1) to (0,3,6). Evaluate dx + dy + dz.

A: To evaluate the integral we use the parametric equation of line segment joining two points.

Q: 8. Let (X, d) be a metric space, and A, B are subset of X, then (i) Fr(A) = AO (A)° = A - int A (ii)…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: (1+4x² )y"-8y = 0

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Q: 18. Set up an integral to compute the volume under the hyperbolic paraboloid z = over the disk D =…

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Q: 2e* xy" - (2x + 1)y' + (* + 1)y %3D * ond ex ore linearly indenerndent

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Q: Question 1 (Second Order Linear ODES). /" - 6y' +9y 0 y(0) = 2 / (0) = 3. %3D

A: Given second order differential equation is y''-6y'+9y=0     (1) with condition y(0)=2,y'(0)=3…

Q: 1 of f(t) -5<t<0 is 1+t 0<t<5

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Q: TT tan x sec?x dx 2 O none of them is an impróper integral of type I that diverges is an improper…

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Q: } be a sequence of real numbers. } is unbounded, then {xn} has no limit. 2} is not monotone, then…

A: We have given few statement . a) If xn is unbounded, then xn has no limit. b) If xn is not monotone,…

Q: Hiw Taelermine whether the following matricas are Yow- echelon forms or not ? plan why? 1 -2 3 7 A =…

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Q: Find the Laplace transform of: 1. f(t) = e(-4t)[sin(2t) – cos(2t)]²

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Q: Use Brute Force to determine the lowest weight -43 21 18 37 35 29

A: We have to use Brute Force to determine the lowest weight Hamilton circuit for the graph below.…

Q: 15) After declining over the past century, the percentage of men aged 65 and older in the workforce…

A: As per the question we are given th following data table : And we have to find the best fit cubic…

Q: Evaluate (2x - y) dx + (x + 7y) dy. C: x-axis from (0, 0) to (0, -7) and (0, -7) to (2, -7) 351 2

A: Solution :-

Q: 2х 64X 3 8+ 9+ 3+ 1

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Q: What is the closest prime p following 123456 that satisfies p=3 (mod 4)

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Q: (a) 1 f(x) = 1+x (b) 5 f(x) = 1- 4x2 %3D (c) 1+x f(x): %3D 1- x

A: As per the company rule, we are supposed to solve the first three subparts of a multi-parts problem.…

Q: 6. Interval, - TT <x < TT; function, f(x) = 0, = x2 - TT<x<T 0 <x< TT

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Q: Use the Midpoint Rule for the triple integral to estimate the value of the intergral. Divide B into…

A: We have to use the Midpoint Rule for the triple integral to estimate the value of the integral.…

Q: (5) If z = xf (2) +g (2), then the value of Z. + 2xy- + y?. is Əxdy (а) -1 (b) 0 (c) 2 (d) 3г

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