does not exist, enter DNE.) f(x, y) = x2 + y2 + 2x - 14y + 9 relative minimum (х, у, 2) - relative maximum (x, y, 2)

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Q: Find the point(s) on x=3-y² that are closest the point A=(1,0)

A: Our Aim is to find the points on x=3-y2 that are closest the point A=(1,0).

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Q: arctan dA Xx Calculate where R={(x, y) / x² + y² ≤ 4, x² + y² ≥1, y ≤x≤ 0}

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Q: Represent two planes that intersect at a line represented by 3. y- 7 = z+2 2.

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Q: Consider a function of 2 variable f(x, y) = 2x³y² – 5x²y* + 3x³ – 4y³ af and Əx af Find ду

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Q: y - 2)2 + (x-2)2 . Find the direction of heat flow in the plate at the point (2, 1). Heat flows in…

A: Introduction: The gradient of the temperature function at the point is the direction of the greatest…

Q: Find Duf at P. f(x, y, z) = 6x³y³z³; P(2, — 2, 2); u = Duf = i + - 2|3 k

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Q: Describe the domain of: Зху 3) f(x, y,z) = 4) f(x, y,z) = 1-x² – y² – z2 z- VX

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Q: Determine the greens function for the ball B= { (x,y ) : x^2 +y^2 < 9 } x,y belongs to R^2

A: To Determine :- The green function for the ball B = x,y : x2 + y2 &lt; 9  x , y belongs to ℝ2.

Q: linearise R = AT + BT

A: To linearise the below equation. R=AT+BT2

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

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Q: Find the point (x,y) on the line y=x that is equidistant from the points (3,8) and (−10,−10)

A: To find the point x, y on the line y=x, that is equidistant from the points 3, 8 and -10, -10.

Q: The distance between the line x =-2+2t ,y=2t+1, z=2-t and the line x=3- 2t ,y=-2t+1,z=t is

A: Distance between two Parallel Lines we calculate as a distance between intersection of the lines and…

Q: f(x,y) = x^3-3x +y^3 +11 a) find stationary points of the function b) find local extrema c) find…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…