The degree of f(x) is v and the leading coefficient is There are distinct real zeros and relative minimum values.

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

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Q: Find the maximum value of z = xy2 subject to 2x2 + y2 = 294; x ≥ 0, y ≥ 0. z =

A: Given information : z = xy2  subject to  2x2 + y2 = 294;  x≥0;  y≥0.

Q: Find the maximum and minimum value of f(x,y) =x3+3xy2-3x2-3y2+4

A: fx,y=x3+3xy2-3x2-3y2+4   fx=3x2+3y2-6x   fxx=6x-6   fxy=6y   fy=6xy-6y   fyy=6x-6

Q: 2. Find the critical points and determine whether they are a maximum, minimum or neither. y = a° –…

A: In the question we have to find the critical point also max. and min. points.

Q: Determine two positive numbers e and f whose product is 27 and for which the value of 4f +3e is a…

A: Product is 27 and 4f+3e is a minimum.

Q: Suppose f'(x) =x4+x3 – 6x2. Determine the value of x where f has a relative minimum value. A x=0 x=2…

A: Given :  f(x) = x^4+x³-6x²

Q: Find the relative maxima or minima. Maximum of ƒ(x, y) = 3xy, subject to x + 2y = 32

A: Given f(x,y)=3xy , subject to x+2y=32 To find the relative maxima: x+2y=322y=32-x⇒y=32-x2 Hence,…

Q: Find the point of minimum values of the function f(x,y) = 2x^(2) + 3y^(2) − 4x − 5 on the domain…

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Q: suppose f(x)’=x^4+x^3-6x^2. Determine the value of x where f has a relative minimum value.

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Q: If f'(x) = x - 2x-x +2, thenf has a relative minimum at x= -2 O0 0 O0

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Q: Find the local maximum and local minimum in (x,y) notation for the following: y=(2x2-7x)/(2x+5)

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Q: What is the absolute maximum and the absolute minimum of the function f(x,y,x) = x2 + y2 + z2,…

A: A detailed solution is given below. We can use Lagrange's multiplier to solve the problem.

Q: Find any local maximums/minimums of f(x)=x²-8r³ +18r²

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Q: Suppose f'(x) =x++x³ – 6x². Determine the value of x where f has a relative minimum value.

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Q: The degree of f(x) is v and the leading coefficient is There are| distinct real zeros and relative…

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Q: Suppose f(x)=x+x³-6x2. Determine the value of x where f has a relative minimum value. A x=2 (B x=0…

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Q: Suppose f'(x) =xr++x³– 6x². Determine the value of x where f has a relative minimum value.

A: F''(2)  greater then 0

Q: locate the critical points and determine the maxima and minima of a^3y=x^2(2a^2-x^2)

A: Given function is a3y=x2(2a2-x2)

Q: If f'(x) = x - 2x² - x +2, thenf has a relative minimum at x= 1 -1 2 -2

A: The answer is

Q: Suppose f'(x) =x4+x3 – 6x2. Determine the value of x where f has a relative minimum value. A x=0 B…

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Q: Determine the maximum r-values of r-7cos4e. 8- 0. * 3x 3x e= 0, e= 0, .

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Q: The function f(x)= 2x² + bx+c has a minimum value of 4 and an axis of symmetry x= V3. Determine the…

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Q: If f(x) = x3 – 6x² + 9x + 15 then the minimum value of f(x) over the interval [0, 6] is

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Q: This extreme value problem has a solution with both a maximum value and a minimum value. f(x, y) =…

A: Given function fx,y is: fx,y=xy Let the other function be gx,y. gx,y:36x2+y2=7 Use the Lagrange…

Q: Consider the problem f (x) subject to g;(x) = 0, minimize %3D

A: Given, the problem                 minimise f(x)            subject to   gi(x)=0, i=1, . . ., l…

Q: z = x? + xy + y² - y

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Q: Find the minimum and maximum of y = f(x) = x³ – x² – 3x + 2

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Q: Find the absolute extremum within the specified domain. 21) Minimum of f(x)=(x2+4)2/3; [-2,2]

A: According to our policies we are allowed to solve one question at a time. Kindly repost other…

Q: Find the relative maxima or minima. Maximum of ƒ(x, y) = x2 - 5y2, subject to x - y = 12

A:

Q: Suppose f'(x) =x4+x3– 6x2. Determine the value of x where f has a relative minimum value.

A: Explanation of the answer is as follows

Q: What are the local max and minimum points of y=x^3-3x+1

A: The given function is: y=x3-3x+1

Q: The relative minimum of y= x² – 4x +4 occurs at (A) x= -4 B None of the given choices c) x = -2 D) x…

A: We have to find out

Q: 3. Find the stationary points (local maximum and local minimum) of the function f(x) = -3x3 + 3x² +…

A: Solution:Given  f(x)=-3x3+3x2+3x+6To find Stationary points of the given function:Formula:dfdx=0…

Q: Suppose f:(x)=x++x³- 6r2. Determine the value of x where f has a relative minimum value. O x=2 O x=0…

A: Function f'(x)=x4+x3-6x2 To find x where f has a relative minimum value

Q: Find the relative minimum and maximum of f(x)=(x+1)/(x^2+x+1).

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Q: Suppose f'(x) =x++x³- 6x². Determine the value of x where f has a relative minimum value. x= - 3 O…

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Q: Find the local maximum and minimum values and saddle point(s) of the function x² y² – 8x + y f(х, у)…

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Q: Determine a minimum of f(x) = x² + 3x², Starting from x, = (6,3) = 6i + 3j and applying the method…

A: The given function is fx=x12+3x22 . The initial point is x0=6, 3. Let it be X0=6, 3. The gradient of…

Q: The degree of f(x) is [odd and the leading coefficient is negativev. There are real zeros and…

A: Consider the graph

Q: Draw the graph of f ( x ) =3 x2+5 x−4 for a. From the graph, identify the values of x when f (x)=0.…

A: Follow the steps below to plot the graph of y=f(x) . Take arbitrary integers for the values of x…

Q: Suppose f'(x) =x++x³– 6x2. Determine the value of x where f has a relative minimum value x=2 x=0 X=…

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Q: For what value of x does f(x) take on a minimum if f(x) = V 3 x² -2 What is the minimum value of…

A: Given that fx=3x2-2x+4Solution :if we have to find minimum value of function then f'x=0 and solve .…

Q: 10. The function g(x) = x² − kx³ − 9x² + 7x − 8 has a minimum when x value of k. = 3. Determine the

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Q: Find the coordinates of the absolute maximum an d minimum points for f(x)=2x²-x* given x €[0,4]

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Q: Minimize f(x,y)=x2-y2 subject to the contraint 3x-7y=-4 when the minimum occurs, what is  a. x?…

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Q: If f'(x) = x³ – 2x² – x + 2, then f has a relative minimum at x

A: f'(x)=x3-2x2-x+2, we have to find relative minimum of f.

Q: Find the relative maximum or minimum value (if any) of f(x, y) = 2x3 + xy2 + 5x2 + y2

A: The given function is: f(x,y)=2x3+xy2+5x2+y2