For the functions f(x,y) = 3 × y – x³ - y³ , which options are correct (there are more than one option) O1. (-1, -1) is a critical point in which function have local minimum | II. (1, 1) is a critical point in which function have local maximum ) III. (2, 2) is a critical point in which function have local minimum IV. (0, 0) is a critical point which is saddle point.

Q: 1)Given that : f ( x ) = x3+9 x2/2 +6x-3 Find the critical numbers. b)Find the interval(s) where…

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Q: Find the critical points of the functions f (x, y) = x² + 2y² − 4y + 2x, g (x, y) = x² — 12xy + y…

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Q: Find the critical points of the functions f (x, y) = x² + 2y² - 4y + 2x, g(x, y) = x² - 14xy + y Use…

A: The given functions are , .We have to find the critical points of the function and use the second…

Q: ind and classify all critical points of the function f(x,y) = 3x²y + y³ – 3x² – 3y² + 2.

A: We have to find and classify the critical point of f(x,y).

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: 8 Given kER, the function f(x, y) = kx² + (k − 1)y² + 12.ry admits (A) a minimum point, if k = 0)…

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Q: Find the critical points of the functions f(x, y) = x² + 2y² - 4y + 2x, g(x, y) = x² - 14xy + y Use…

A: The Critical PointThe point is said to be critical point if The Second Derivative TestSuppose then…

Q: Find the maximum value of f(x,y) = 84-x2 - y2 on the line x + 9y = 82. The maximum value of f(x,y) =…

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Q: 4. Determine all the critical numbe f(x)=x-sin(2x) on [0,27].

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Q: Find the absolute maximum and absolute minimum values of the function f(x) = x + 12x² – 27x + 8 over…

A: The given function is- fx=x3+2x2-27x+8 Differentiating w.r.t. x- f'x=3x2+4x-27 Critical points of a…

Q: f(x, y) = (8x-x²) (10y - y²). Find and classify all critical points of the function. If there are…

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Q: 29-42 Find the critical numbers of the function. 29. f(x) = 4 + x - 30. f(x) = x' + 6x - 15x 31.…

A: The critical number of a function is obtained by the equation f'(x)=0.

Q: Find all critical points of the function f(x, y) = x2- 2æ + 2y2- 8y+5 on the closed triangular…

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Q: Find the general solution for the differential equation y”+4y’+3y=4e^-t

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Q: (4 points) Find the absolute maximum and absolute minimum of f(r) = 4r + 3r2 – 6x +1 on the interval…

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Q: Suppose the point (0, -1) is a critical point of the function f(x, y) = x³ + y³ − 6x² − 3y - 5.…

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