Show t hat (2æ + y? + 2xx) d æ + 2æ y dy + x²d% = 0 is int e grable(i.e., condition of integrabil it y is satis fied).

Q: envectors of A %3D -2 6

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Q: Let L = (a" : n2 0}. Which of the following is true? O a. L = L but Lt # L. O b. L' # L but L* = L..…

A: This is a question of Automata theory.

Q: Assume xo = x2 – 2h, *1 = 12 – h, a3 = x2 + h, 24 = x2 + 2h Use the undetermined coefficients method…

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Q: 00 1 = 1- x +x² - .+(-1)"x" + ... = (-1)* 1+ x (-1)"x". %3D n=0 1 f(x) = 1+ x2

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Q: -4 0 A -4 %3D B = 2 -1 -1 2] 15 4 ]

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Q: 5. A family driving across Canada in the summer experienced a delay when their motor home's engine…

A: We will use given equation of heat transfer and values to form equation ,from which we can find k

Q: ). -18 -7 A = 3 ( 8 11 = -1 og 12 = 2. %3D

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Q: define the region bounded by y = 0, y = 4√x, y = 24 − 2x, and y = x − 4 using vertical and…

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Q: + 2x - + (1 – y²) - dx²y Show that the equation dx2 dy? 2 + y² < 1, parabolic on the boundary is…

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Q: The probability that a fluorescent bulb burns for at least 500h is 0.90. For the following…

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Q: how that in D4 is not a normal subgroup. Please explain in details and show all the works.

A: To Show, a subgroup in D4 is not normal.

Q: 6. Write down the relation matrix of the abelian group G specified as follows. G - {x, y, z, w | 3x…

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Q: /" – 6y + 18y =0 y(0) = 0, (0) = 3 First, using Y for the Laplace transform of y(t), i.e., Y = find…

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Q: Problem 1A. Solve the system of linear equations using Gaussian Elimination. -71[X1 11 ||X2 X3 X4.…

A: According to our guidelines we are supposed to answer only one asked question.kindly repost other…

Q: dy dx y cos (2x) -4 Given a differential equation with the initial condition, y = 2. (a) State the…

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Q: Problem 1. Let (X, dx), (Y, dy) be metric spaces, and equip R with its usual absolute value-metric.…

A: Given: Let us consider the given,X,dX,Y,dY a) Let us determine the sequence of functions fn:ℝ→ℝ b)…

Q: 1. -(p→ q) → (p a~q) 3. (-p v q) ^ [q→(~r^~p)

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Q: CONsider the Matlix: A =[1 A7. one of the eigenuectors of A is given by Ea 1)'. Find the eigenvalues…

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Q: log,(2x-1)= 2. Find x

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Q: 25 s3(s? + 4s + 5)

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Q: The following table presents the implementation of Dijkstra's algorithm on the evaluated graph G…

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Q: Show that the equation dy + 2k possesses solutions of the form 00 - kt E c,e cos (oa,x+ E,) cos (w,…

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Q: ESTION In what proportions should one mix hazelinuts at $24/g with almonds at $40/kg to obtain a…

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Q: 1 -3t e ÿ(0) = 3 5

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Q: II. Find the determinant of the following matrices by row reduction: [1 1 1 11 a 1 1 11 1 3 3 3 3 1…

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Q: Show t hat (2æ + y? + 2xx) d æ + 2æ y dy + x²d% = 0 is int e grable(i.e., condition of integrabil it…

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Q: 20. Given the path, • dx + xe'dy determine the line integral using Green's theorem if C,is y = x² +…

A: Consider the given integral ∮Cxydx+xeydy. We have to evaluate the given integral if C1 is y=x2+2…

Q: Question 9. K are subgroups of S3. Show that HUK is not a subgroup of S3. It follows that a union of…

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Q: Identify a generating curve on the XZ-plane for the surface of revolution with equation x? + y2 + Z?…

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Q: Show by means of an algebraic proof that (A − B) ∪ (B − A) = (A ∪ B) − (A ∩ B).

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Q: in R°sketch the graph of the cylinder x = (y – 2)?

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Q: 4. Find the temperature in a perfectly insulted bar with c=1, u,(0,t) =u,(T,t)=0 and u(x,0) = 3x

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Q: QUESTION 1 If s is a dlosed, piecewise-smooth, orientable surface, which of the following…

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Q: Canter e dn= り。 f(x)= 5-3X

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Q: Using the tables and 'linearity', find the inverse Laplace transform of the following: 6 1. s+2…

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Q: Convert using a shortcut: 11100011011two to base ten.

A: 11100011011two= (1×210+1×29+1×28+0×27+0×26+0×25+ 1×24+1×23+0×22+1×21+1×20)ten…

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Q: For the following exercises, determine a definite integral that represents the area. 198.Region…

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Q: Establish formally, whether the following set is open, closed, or neither closed nor open (justify…

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Q: Which of the following is a general solution to the followin x²y"+xy'+ (x²– 1)y=0 y=c,(x) +cY_,(x) O…

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Q: The rectangle M, lies in the (x, y) plane in the (x, y, z) space, and is given by: M1 = {…

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Q: Let L1 be the lattice D6 (divisor of 6) = {1,2,3,4,5,6} and L2 be the lattice (P(S), C) where S =…

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Q: See picture for f(x)  f(x) = 2L periodic extension to f for all other values of x show the…

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Q: Calculate r1(t)·r2(t)] and dt [r1(t) × r2(t)] first by differentiating dt the product directly and…

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Q: b) Determine whether the series (-1)"n/n is n² + 3 n=1 convergent, absolutely convergent or…

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