Find the surface area of the helicoid (spiral ramp) with vector equation F(u, v) = (u cos v, u sin v, v), 0 ≤ u≤ 1,0 ≤v≤n

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Q: Perform the given row operations: 3 7 -8 -87 3-2 -7 R₁ R3 -7-8 5 1) 7

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Q: How do we determine the types of the equilibrium points regarding their stability ?

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Q: Prove that these arguments are valid through natural deduction. 1. ~a --> ~b 2. a --> c 3. c --> d…

A: We use the rules of inference to prove the validity of the given argument.

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Q: 11. Find and classify all the critical points of f(x,y) = y³+3x²y - 6x²-6y² +2 g(x, y) =x³-12xy +8y³

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Q: Find the minimum and maximum of f(x, y, z)=x² + y² +2² subject to two constraints, +2y+z=7 and 2-y=5…

A: Given:Subject to

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A: We  have  to evaluate ,Where +Then, Curl+Now, Then, let

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A: Definition  : A horizontal asymptote of a graph is a horizontal line y = b where the graph…

Q: Question 7 Evaluate the limit: lim 2-0 Question 7 Evaluate the limit: lim I-0 lim x 0 Evaluate the…

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Q: 7. Find u satisfying 1 1 Urr +=+00=0, 0≤0 ≤#, r<1, T subjected to the boundary conditions u(r, 0) =…

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Q: √9-4x -4x² dx S

A: We have to find the integration.

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Q: (c) Give an orthonormal basis for Span {x₁, X2, X3}.

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Q: Use the divergence theorem to calculate the flux of the vector field

A: bounded by the solid .To Find:Use the divergence theorem to find the flux.

Q: 3. Let A = 3-1 1 V₁ = 3 -2 2 = 2 V₂ = 3 V3 = 6 V4 and use the facts Av₁ = V₁ AV₂ = V₂ AV3 = V3 V4 €…

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Q: can you do rest of the question

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Q: Find a particular solution to the differential equation using the Method of Undetermined…

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Q: 1. Find the general solution to the following system of Des. *-(1-3)* One of the eigenvalues of the…

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Q: Use the method for solving Bernoulli equations to solve the following differential equation. dx dt X…

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Q: Consider the function in the graph to the right. The function has a maximum of at x = The function…

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