S Tu classify them (maximum, minimum, saddle, of con Find the maximum value of f(x, y, z) = xyz under the constraint 3x +2y + z = 24 and x > y > 0, z > 0. find Bre). [[ х со cos(2y)e³% dxdydz.

Q: 2. f(x, y) = (x² + y²)² — 2(x² - y²) + 1. Ans.: global minimum 0 at (±1,0), saddle at (0, 0).

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Q: 3. Check that in each of the following cases, the equation F = 0 defines y locally as a C' function…

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Q: Write the ratio as a ratio of whole numbers using fractional notation 12 to 1

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Q: Find the maximum and minimum values attained by f (x,y, z) = xyz on the unit ball ² + y² + z² < 1.

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Q: 5. f(x, y) = (y — x²)(y — 2x²). - Ans.: no extrema, saddle at (0, 0)..

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Q: f(x,y) be defined implicitly as a function of x and y by the 3xyz =exyz Əz Əz yay ax Əz Əz Find and…

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Q: . Find, from first principles, f(2, -1) for f(x, y) = 2a?y³ + e2y. ,2,,3

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Q: Find the extrema and/or the saddle points of the functions a) f(x, y) = ex cos y b) f(x, y) = x² +…

A: Note: As per the honor code, the first question can be answered since the exact one wasn’t…

Q: 5 of 9 > Let f(x, y, z) = 5x³ · y³ + z². Find the maximum value M for the directional derivative at…

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Q: //welro) Find a local linear approximation for the function 5х + 6 f(x) valid for x near 5 5x + 6…

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Q: Consider f(z, y) = z² + y³ and g(x) = (x, x², z³). .Then D(g(f(x)) %3D O 1× 3 О Зх1 O 2 x1 О 1x2 O 5…

A: consider f(x,y)=x2+y3 anf g(x)=&lt;x,x2,x3&gt;we have to find the dimension of matrix…

Q: 1. v₁ = (4, −2, 6, −4), V₂ = (6, −3, 9, −6)

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Q: 4 Find f. (x, y) and f,(x, y) for f(x, y) = (5a³ – 4y²)*. f.(x, y) = Preview f,(x, y) = Preview

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