Evaluate 112x ·x) dx = (2x - y) dx + (x + 5y) dy. C: x-axis from x = 0 to x = 6

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Q: Find QR factorization of the matrix, if possible. 1 2 -2 1 1 1] 18 01 20]

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Q: Question 1 Find the solution to the Bernoulli Equation. 2x³y' = y(y² + 3x²)

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Q: 13. Find the double integral ff(62²-4zy) dA, where R is the region bounded by y=2² and y=z.

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A: Given differential equation is dydx = yxy5 - 1

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Q: solve the system of equations

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Q: A standard piano keyboard has 88 different keys. Find the probability that a cat, jumping on 4 keys…

A: Sol:- Since, the cat jumps on 4 keys, hence, the total number of following sequence = 884

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A: Sol:- q = -3p+312 Total Revenue R(p) = p*(-3p+312)=-3p2+312p For Maximum:-

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A: Given M∈Mn(F), A∈Mp(F), B∈Mp×k M=ABOIk Here we have M=Ap×pBp×kOk×pIk It means Above matrix is square…

Q: (f) An eigenspace of an eigenvalue of an n x n matrix might consist of the zero vector only. (

A: An eigenspace of an eigenvalue of nxn  matrix might consists of zero vector only.

Q: 1. Describe and sketch each of the following sets of complex numbers: (a) 1|2z -8 0 (d) |z1|²+z+i|²…

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Q: Let set A = {1, 2, {2}, {{1}, 3}} Which one of the following sets is a partition of the set A?…

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Q: If A = 2yzi -x²yj + xz ² k B = x ²₂ + y²j - xy k 2 D=ax'yzs D = 2х Find : (A.T)Ø, АПФ, (в.V) A (AxV)…

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Q: Let C = {1, 3, d, e}. Let R = {(1, 1), (1, 3), (1, e), (3, 3), (3, d), (e, 3) be a relation on C.…

A: The given set is C = {1,3,d,e} and the given relation is R={ (1,1),(1,3),(1,e),(3,3),(3,d),(e,3) }…

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Q: 2.1 2.2 Find the r.m.s. value of the voltage spike defined by the function v = e' √sint dt between 0…

A: 2.1 Sol:- RMS Value = 1T∫0Tft2dt =1π∫0πe2tsintdt First calculate the integral :-∫…

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Q: 1 -0000 4 -8 2 Let Wspan a) Find a basis for W. b) What vector space has W as a subspace? c) What is…

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Q: Sketch the space curve. Vector-Valued Function r(t) = (5 sin t, 2t, 5 cos t) Interval [0, π]

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Q: Use the Laplace transform to solve the given initial-value problem. y" + 4y' + 13y = 8(tn) + 8(t -…

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Q: Evaluate the line integral along the path C given by x = 2t, y = 6t, where 0 ≤ t ≤ 1. √(x + 3y²) a…

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Q: Let 4= [ 12 -0,²5] 3 Find an invertible matrix S and a diagonal matrix D such that S-¹ AS = D.

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Q: f: Z→ No, x→ 2x, -2x - 1, when falls x ≥ 0 falls x < 0 مید ماس

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Q: Find the eigenvalues A₁ < A₂ < A3 and corresponding eigenvectors of the matrix The eigenvalue X₁ =…

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Q: For the system below a. Find the equilibrium points. b. For the equilibrium point (1,1) solve the…

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Q: Let f be a function on Z+ (the set of positive integers) defined by (x, y) Ef iff y = 2x² -7 (fCZ+→…

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