Let g(x,y) = x³ – 6x² – y* + 5. Find and classify the critical point(s) of g.

Q: Find the local minimum and maximum of y= x2/ 3 + x2

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Q: b) Find and classify all the critical points of f(x, y) = 3x²y + y3 – 3x2 - 3y2 +5. %3D

A: The solution is given as

Q: 1. A bacteria population has an initial amount of 5,000 with an hourly growth factor of 1.3. What…

A: topic - exponential function

Q: Find the maximum point for the function f(x) = 1 + 12x – 4x O (-1, -7) O (2, -7) O (0, 1) (1, 9)

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Q: 를 f(x)= x (x-3) Find all critical Point and classify them if possible.

A: To find the critical points of the function f(x) = x^(3/2)(x - 3), we need to find the values of x…

Q: b- Determine the critical point of the function f(x) = x5 – 5x* + 5x³ –- 1 %3D

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Q: et g(x, y) = In x + 2 In y - x-8y . Find the critical points. use the second Derivative Test to…

A: g(x, y) = In x + 2 In y - x-8y

Q: Find the maximum value of f(x)=−5x2+5x+6 on the interval [−20,20]

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Q: Find all critical points for the function f(xy)=x* +y* – 16-x-y.

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Q: Find the absolute minimum and absolute maximum for y = x3 – -+ 4x +1 on [-2,2].

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Q: ,2 Let f(x) = x – 12x -27x + 1. Find the critical points of f(x).

A: Find the derivative as follows: f'x=ddxx3-12x2-27x+1        =3x2-24x-27

Q: Let \n (xy) + y ² = x6+3 find dy ax

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Q: Find and classify all critical points f(x, y) = 3x² + 2y² - xy - 5x - 7y

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