Use the Lagrange multiplier method to find the stationary value(s) of z given by z = x - 2y + 15, subject to x + y = 0. The unique stationary point is given by y* = X* =

Q: Solve for the orthogonal traysctories x*(3k-x) - ky². = x ? 2

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Q: The stationary points of ymx³+4x²-3x+2 are ( decimal places ) and ( Type your answer to 2

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Q: Determine the orthogonal trajectories y-3x+1=ce 3x

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Q: Find the maximal value of the function f(x,y)=2x3-y3 on the circle of equation x2+y2=7.

A: We have to find the maximal value of the function  on the circle of equation

Q: Find the orthogonal trajectories of the family of curves.

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Q: X 1 2 3 4 f(x) 2,6 3,5 3,2 2,4

A: From the given table, The general formula is,

Q: A grass fire burns in an approximate circle. Firefighters, spraying the fire, can affect the area of…

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Q: Find the point on the curve y = √x closest to the point (2,2)

A: Here we have to find the point on the curve y = sqrt (x) closest to the point (2, 2)   use the…

Q: Find the orthogonal trajectories of the family of 2 curves x² + y² = cy A B Ⓒ с D none of the…

A: Given curve x2+y2=cy

Q: Find the closest and most distant points to the origin on the curve x^2+xy+y^2=1.   Use lagrange…

A: Given that the curve is x2+xy+y2=1. It is required to find the closest and most distant points to…

Q: find orthogonal trajectories of   x2+(y-c)2=c2.

A: x2+(y-c)2=c2 now differentiating both side with respect x , we get 2x+2(y-c)dydx=0 or, dydx= -x(y-c)…

Q: Show that V₂ = C1 CiYt-i+1 is stationary

A: As per the question we are given a stationary process {Yt} having the acf (auto-correlation…