Consider f (x) =x³ – 6x²+9x +3 defined on the closed interval .At which value of x does the absolute maximum of f on the closed interval occur? (A) в) 1 3 2

Q: Find the absolute maximum value of f(x) = x² – 2x + 8 over the interval [0,5|

A: The objective of the question is determine the absolute maximum value of the given function.

Q: Find a cubic function f(x)  = ax3 + bx2 +cx +d thathas a local maximum value of 3 at x =-2 and a…

A: At x=-2 , y=3  So,  at x=1, y=0

Q: 6. Find the absolute minimum and maximum of the function f(x) = x° – 12x+5 interval [0, 3]. on the

A: The function is given by fx = x3-12x+5 To evaluate : The absolute maximum and the absolute minimum…

Q: 2. Find the absolute maximum and absolute minimum value of f(x) = 6x – x on [1, 7].

A: Given function fx=6x-x2 To find the absolute maximum and minimum first find critical values.…

Q: The function f(x) = xvx – x² defined on the closed domain [0, 0.9] has an absolute minimum value of…

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Q: Find the global maximum of f(x) = x(4−2x) over the interval (−∞,∞)

A: Given:The function is f(x) = x(4-2x) .The interval is (−∞, ∞).

Q: Find the critical point for f and then use the second derivative test to decide whether the critical…

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Q: Consider the function f(x) = 3 – 5x², – 5 < x < 1. - - The absolute maximum value is and this occurs…

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Q: Find the global maximum and global minimum of f(x)=x22x in the interval [−1,3].

A: We first find the critical points by solving f'(x)=0

Q: Find the absolute maximum and minimum values of f(x) = xe-x on the interval [0, 3].

A: Here, f(x) = xe-x on [0,3]   Extreme Value Theorem(EVT):  If a function f is continuous on a closed…

Q: The absolute maximum of f(x) = 3 x3 -2x On [-1,8] is y= OA 0. OB 5 OD A-

A: For Maximum value of f we need to get the respective value of x by differentiating the function and…

Q: (a): Find the critical points of the function f(x) 6x2 12x. (b): Apply Rolle's theorem for the…

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Q: Find the absolute extreme of f(x)=x^3-12x on the closed interval [0,4]

A: for finding critical points take f'(x) = 0 then find the function value at the critical points and…

Q: 5. Use the second derivative test to determine whether f(x) has local maximum or local minimum at…

A: The function is given by f(x) =-2x3+6x2-3 To evaluate : The point of local maxima or local minima.

Q: 3. Find the absolute maximum and absolute minimum of f(x) = 2x³ - 6x +1 on [0,3].

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Q: 2 The function defined by f(x)= x-3x for all real numbers x has a relative maximum at x = %3D

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Q: Find the global minimum of the function f (x) = 2x’ + 3x² – 12x + 4 on the interval [-4,2].

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Q: Suppose that f ‘(x) is negative for x 1. Does f have a local minimum or maximum value at x = 1?

A: The answer is 'YES' Let see how it is YES in next step.

Q: for what value of x does the function  f(x) = 1/3 x3 - 4x attain the absolute minimum in the…

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Q: Find the absolute maximum and absolute minimum f(x) = + x2 24x over the interval 2, 6|. -

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Q: (3) Find the absolute maximum and minimum values of f(x) = x³ – 3x – 1 on the interval [0,3).

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Q: 4. If f has a local minimum at x = 0 and a local maximum at x – 2, what can you say about f'(0) and…

A: f has a local minimum at x=0 and a local maximum at x=2.

Q: Consider the function f(x) = z over the interval (-2, 2). Does the extreme value theorem guarantee…

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Q: Find the absolute maximum and absolute minimum of f(x) [5, 9]. * + x2 – 63x over the interval 3

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Q: 3. What is the maximum value of the function f(x) = 2x- 2x + 6 in the interval %3D [0, 2]?

A: Introduction :

Q: Find the absolute maximum/minimum value for f(x)=x² – 4x+1 on the interval [(-3, 3] 9.

A: Given: fx=x2-4x+1 and x∈-3,3   The Power law: ddxxn=nxn-1

Q: Consider the function f(x) = 2x3 - 3x2-12x+c, where c is some ne location of the absolute maximum…

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Q: Find the absolute minimum of f (æ) = x² – 6 on the interval [1, 2].

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Q: 7. Determine the absolute maximum and absolute minimum on the interval [-1, 2] for the function…

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Q: The absolute maximum and absolute minimum for the function f(x) = r2 -8x on the interval 0,5 are

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Q: Find the absolute maximum value of f(x) = x² – 2x + 12 over the interval (0, 4]|

A: The absolute vale in the interval [0,4] for f(x) will be either at critical points or at end points.

Q: Find the absolute maximum of f(x) = x3 −6x2 + 12x + 3 on [0,3]

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Q: Let f(x) = 4x – 8a2 + 5x. Find the absolute maximum and the absolute minimum of f on [0, 2].

A: To find  The absolute maximum and absolute minimum of f(x) at [0, 2]

Q: Find the value of x at which the absolute minimum occurs (if it exists) for the function f(x) = -x2…

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Q: 3. Determine the absolute maximum and absolute minimum on the interval [-1, 2] for the function…

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Q: The absolute maximum and absolute minimum for the function f(x) = x² – 16x [0, 9] a on the interval…

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Q: 1) Find the absolute maximum and absolute minimum for f(x) = x* – 18x² – 2 on the closed interval…

A: To find absolute maxima and absolute minima for fx=x4-18x2-2;     x∈-2,4

Q: Calculate the difference d between the global maximum and global minimum values of f(x)=x2−4x+6 in…

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Q: Find the x-coordinate of the absolute maximum of the function f (x) = x³ – x² – x +1 on the interval…

A: Given

Q: Consider f(x)=x³-6x²+9x+3 defined on the closed interval At which value of x does the absolute…

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Q: Find the absolute maximum value of f(x) = x² – 2x + 12 over the interval [0, 5]

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Q: Find the absolute minimum if exists of f(x)=6x^2 −x^3 +8 on the interval 0≤x≤4

A: Use the first and second derivative test and find the absolute minimum of function f(x).

Q: Consider the function f(x)=(3x)/(1+x^2) over the interval [-3, 1].   f(x) has an absolute minimum…

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Q: What is the absolute maximum and absolute minimum of the function f(x) = x3 – 3x2 – 9x – 6 in [0,5]?

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Q: Find the absolute maximum and absolute minimum of f(x) on the given interval f(x) = -2x2 + 4x – 3,…

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Q: Find the absolute maximum of h(x)=x2 −x−2 over [−3,6]. Enter only the y-coordinate of the maximum.

A: Determine the  derivative of the function  and find the critical points.

Q: Find the absolute maximum and absolute minimum of f(x) =2x – 3x² – 36x + 2 on the interval [0,5]

A: Before finding absolute maximum and absolute minimum of any function over the given interval we need…