Identify all extrema of the function f(x,y) = x³+y³-3x-12y+20 on the plane and characterize them.

Q: The intersections with the abscissa axis of the image function are: f (x) = x2 + 10x + 21

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Q: What does 2x + y = 4 represent in the xy plane and what in the space?

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Q: Draw v = [ 4/1 ] and w = [ -2/2 ] and v+w and v-w in a single xy plane.

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Q: Sketch the domain of f(x, y) = √4x² - y² x - y² on the ry-plane.

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Q: T/f Two parallel lines in the 2d plane never intersect each other

A: Given that two parallel lines in the 2D plane never intersect each other. Here we have to determine…

Q: (4xy) w = 3 sin (4xy tan (z) +4 In (5yz)- 8 e

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Q: List the points in the xy-plane, if any, at which the function z = 7+ ((x-4)² + (y+3)²)´ is not…

A: The given function is as  z= 7+((x+4)^2 +(y+3)^2)^2  We have to check the that this function is…

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…