Lagrange Multipliers will be used in order to solve the following: Maximize f(x, y, z) = 4.x + 2y + z subject to æ² + y+ z² = 1 ||

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A: Given v=2i+3j-6ku=5i+12jWe know that i.i=j.j=k.k=1i.j=j.k=k.i=0

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Q: Evaluate the following integrals. Show all the necessary solutions. 2. y In?(1 + 3*) dy 1 + y²

A: I=∫y ln7(1+y2)(1+y2) dyI=∫ y ln(1+y2)7(1+y2) dyln(1+y2)=t1(1+y2) (2y) dy =dty(1+y2) dy=dt2

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A: Integration by parts formula:∫uv dx =u∫v dx -∫(dudx ∫vdx) dxI=∫ θ cos πθ  dθu=θ, dudθ=1v=cosπθ, I=θ…

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Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

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