Evaluate the determinant of the given matrix without expanding by cofactors. -400 070 005 det(C) = C=

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Q: (c) Find an n such that P₂ is isomorphic to Rª. (Don't just state the value of n; prove why the…

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Q: 5. Let S be the negatively oriented surface defined by R(u, v) = (u², v², uv), where (u, v) [0, 1] x…

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A: Given :  G = k1, k2, ±1 : k1, k2 ∈ℤ with the operation  k1, k2, 1l1, l2, -1 = k1+l2, k2+l1, -1 To…

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Q: Find the solution of the initial-value problem y'" — 7y" + 16y' — 112y = sec 4t, y(0) = 2, y'(0) -…

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Q: Find the general solution of the given differential equation. xdy + 5y = x³ = x dx goed y(x) = 8 X 6…

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Q: Show ▼(E) - G&F - FVG G² G=0

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Q: Evaulate the line integral of c (x^2+y^2) where c is the line segment from (-1,-1) to (2,2)

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Q: a.) Use long division to derive the first four non zero terms of the Maclaurin series for f(x)= tanx…

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Q: 9. Solve the following boundary value problems for the Laplace equation on a square of side : V²u(x,…

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Q: To prove that the limit of f(x)=x^2+4x as x approaches 2 is 12, given any ε>0, choose 8>0 such that…

A: Definition: Epsilon-Delta of Limit : Here is the limit limx→af(x)=L is given as : While ∀ε&gt;0…