Locate and classify the local extremum of f when f(x, y) 4.x2 – 6x – 6y² – 4y + 10xy. - - 1 1. saddle at 2. ах at 7 (G) 3. min at 4 4. saddle at G 5. min at 6. max at

Q: 3 For the function z = 2x³-8y² - 2xy, find 立|み 11 x²(-2,-2)= (Simplify your apcwor) əz əz dx' dy' a…

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Q: (늘 가 G-2). Find the value. A relative extrema of the function f occurs at f(x, y) = 9x2 + 3y2 - 9x +…

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Q: of Find (1.-7) if f(x.y) = 2x2 + 4xy - 5y? + 4x - 9y - 9. dx of (1, -7)-O (Simplify your answer.)

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Q: c. x = t3 and y = 2t2 /2, 0<ts v3 3 d. x = t2/2 and y = (2t + 1)7/3, 0<t< 4 %3D

A: 1)x = t3  &amp; y = 2t22,  0≤t ≤ 32)x = t22  &amp; y = (2t + 1)323,  0≤t ≤ 4

Q: Which of the following is a true statement? d (10) = 5 (104) da O The equation of the tangent line…

A: (1) ddx(105) = 0         ∵ddx(c) = 0  statement is False(2) The equation of the tangent line to the…

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A: we have to find the derivative of the following.

Q: Q4: A. . Find the derivative of the function at Po in direction of A. g(x, y) = x - + V3sec-1 (2xy),…

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Q: if r'y-- 2y + 1.

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Q: Which of the following is a stationary point of the function f(x, y, z) = x² – 2y? + yz + 2ay – z…

A: Given f(x,y,z)=x2-2y2+yz+2xy-z

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Q: 5- Verify that the given function u is harmonic in an appropriate domain D. Find v(x,y), the…

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Q: Determine the derivative of y = 24*. A. 24x+2 In 2 C. 34x+2 In 2 B. 63r+2 In 2 D. 44*+2 In 2

A: So in this we have to do simple derivative of given so I'm providing hand written solution for this

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A: Given dϕdr=fϕwhere fϕ=-sinϕ+γsinϕcosϕ=sinϕγcosϕ-1

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A: Given,