a) Evaluate the surface integral 2x²y dS over the surface y² + z² = 1 between x = -1 and x = 5.

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Q: Find (cost using Laplace find [[ sint] using Laplace

A: Here we can use following formula of Laplace transform 1. Lcosat=ss2+a22. Lsinat=as2+a23. Lftt=∫s∞Fs…

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Q: Consider the initial-value problem y" + 4y = g(x) where y(0) = 1, y'(0) = 2 Jsinr 0 π/2 (a) Find a…

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Q: Question 3-) Let z(t) = sin(3πt + 0.3) (a) Find the minimum period for z(t). (b) Find the fourier…

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A: We have to find the centroid of the solid generated if the region bounded by x2+y2−4y=0 and y=4−x…

Q: 11) Example: of R' (t) to find the curvature Use the Theorem in 10 to

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Q: ) Compute the value of the following improper integral. If it converges, enter its value. Enter…

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Q: 24. If the image of (2,6) after an anticlockwise rotation of a certain angle about the origin is (x,…

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Q: Let the function f: R → R be defined by 1 x² f(x) = - 0, x = 0, x = 0.

A: Let us solve the given problem on continuity in the next steps.

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Q: Solve: In 2000] $50,000 $100 2000 [to the power of

A: We use properties of log  logab = b log a

Q: Use a suitable change of variables to determine the indefinite integral 1 dx Love + 2x +x

A: Substitute1+x2=t.

Q: Find the steady-state vector for the transition matrix. 56 H 21 X = 5-72-7 1/7 1/7

A: Given transition matrix is 57672717   To Find: The steady-state vector for the above matrix.

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Q: Apply central divided difference approximation (CDD) to find the first 5 derivative of F(x) = e0.8x…

A: To find the first five derivatives of fx=e0.8x when x=24 using central divided difference…

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Q: Find £f3² ܠ S 349s+5 7

A: We need to evaluate L-1ss2+2s+5.

Q: 8 Σ n=1 an, an = ýnt + 4n3 + 6n2 – 3/ P(n)

A: Given : infinite series      ∑n=1∞an ,   an=n4+4n3+6n24-Pn3 To find : third degree polynomial Px…

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A: Given B=6-1x   To Find: BT+BT

Q: and y = 2u, evaluate the integral xy³dA where c) Using the transformation x =-; 6u region R is…

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Q: Transform in cylindrical coordinate at the point specified 6 ax -3 ay -6 az at P ( r=5; φ= 120…

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Q: ILS] Demonstrate how any vector x ER can be expressed as a linear combination of the following…

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A: Given data is  Age  Yearly Maintenance 5.5 1319 5.5 1749 5.5 1733 5.0 1195 5.0 1423…

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A: Consider the following figure. Equation of straight line is y=1−0.63x=0.37x. For a thin strip…

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A: Given f'x=x2+2 sin2x-2. Also given f(2) = 7.   To Find: The absolute minimum value of the function f…

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Q: Let T be a linear operator on a real vector space V , and define f : V × V → R by f(x, y) = (x, T y)…

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Q: . Find the eigenvalues of the given matrix A. Do NOT solve for the eigenvectors. A = (-252)

A: Given matrix is A=-522-3   To Find: the eigenvalues of the given matrix A.

Q: Example: Find F[e-t (sin wot)u(t)]

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Q: 1.Construct the Truth Table of the following expressions: a.~(PVQ) 'n ((~P^Q) = P))

A: Truth table for ¬P∨Q P Q ¬P∨Q T T F T F F F T F F F T

Q: Consider the conic section given by the polar equation 4 1-sin 0 (a) (b) (c) (d) r Without…

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A: Given: fx=x3-4x2+3x-1 and the initial values are r=0 and s=0

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Q: dy - 1 = siny dx

A: Given : dydx-1=siny To Find : solution of Given DE

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Q: C: ) Find the value of •∞ 7ln(x) x5 187 Determine whether the series converges or diverges: 7 ln(n)…

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Q: Use the power series method to find a series solution for *-( ) 1 1 02 (5) 0 0 1 - Write your final…

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Q: Let G be set of all 2 x 2 matrices in GL2 (Z5) of the form (i) Show that G is a subgroup of GL2…

A: Let G be the set of all 2×2 matrices in GL2ℤ5 of the form 10cd, with c, d∈ℤ5 and d≠0.   (i) To Show:…

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Q: Q:A. Find the Laplace transform of (2) f(t) = te-cos2t

A: We have to find the Laplace transform of f(t)=te-3tcos2t