Joshua wants to find the local maxium and minima of the two variable function F(x, y) = x³ +y² – 48 x – 2 y + 10. i) Help Joshua out by picking the stationary points (x, y) out of the following list. | (1,4) O (-4,–1) O (4, 1) O (-1,4) O (-4,1) O (4, –1) O (-1,-4) O (1, –4)

Q: If W[y,, Y2 Y3]=0, then {y1, y2 , y3} must linearly dependent, where y1, y2 , y3 are diffferentiable…

A: To find- If Wy1, y2, y3 = 0, then y1, y2, y3 must linearly dependent, where y1, y2, y3 are…

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Q: Show that the function z = f (x,y) = x³ – 3x² – 4y² + 2 has one saddle point and one maximum point.…

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Q: a) Find all four critical points for the function f(x, y) = y³ + x²y + 9y² + 2x².

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Q: 7. Find the linear approximation near (2, 0) of f(x, y) = 3x e¯3ªy.

A: To find the linear approximation for the given function.

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A: Given that if  W[y1,y2,y3]=0, then {y1, y2,y3} must linearly dependent, where y1,y2,y3 are…

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Q: Find the linear approximation of the function at the given point. ffx y)=-9x2-6y2+ 6 at (6,-10)…

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Q: 2. Show that the function u p(xy) + Vry (y/x) provides the equation = 0.

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Q: Find the (x, y) critical point (s) of the function f(x, y) = 2x³ + y² − 9x² − 4y + 12x − 2 . Then…

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Q: Maximize the function f(x, y, z) = x² – y², given that x² + 2y² + 3z² = 1. %3D

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Q: Find the Maximum and Minimum values of f(x, y,z) x +3y subject to the constrains x'+4y +z-36.

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Q: A) Find and classify the critical points of f(z, y) = x³ + y3 – 6y? – 3.x + 9 using the first and…

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: 3. Evaluate f 2xdx + (y + 2)dy along the rectangle with vertices (0, 0), (0,3), (3,3) and (0, 3).

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Q: Find the linear approximation of the function at the given point. f(x, y) = -4x²y³ at (-9,7) O A.…

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Q: Picture attached. Thanks in advance!

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Q: Find the values of 2, y and z that correspond to the critical point of the function: = f(2, y) = 4x?…

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Q: Where does the function f(x,y)=3 − 10x + 12y − 5x2 − 6y2 have a critical point?

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A: This is a problem related to maxima and minima. Please follow the procedure given below.

Q: (3) Find and classify the critical points of the function 6y? f(r, y) = 3y – ry + +2, I#0. %3D

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