The function f(æ) = - 2x + 36x? 162x + 3 has one local minimum and one local maximum. This function has a local minimum at = with value and a local maximum at x = with value

Q: The function f(x)=12-6x4 has an absolute maximum value of _____________ and this occurs at x equals…

A: Given, Function f(x)=12-6x4

Q: Find the minimum point for the function f(x) = 5x – 14x2 – 11x + 1

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Q: The function x2 f(x) = 1 - x has a local maximum when x = 2. Select one:

A: We will check if the given statement is correct.

Q: Consider the function f(x)=x^4−98x^2+10,    −6≤x≤15. This function has an absolute minimum value…

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Q: Find the absolute maximum and absolute minimum values of the function F(x)=x^3+6x^2−63x+3 a.…

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Q: The function f(x) = 2x²-3x+ k has a minimum -Find the value of k. 8. value of-

A: The function fx=2x2-3x+k has a minimum value 78. We have to find the value of k.

Q: Find the absolute maximum value of the function f(x) = (x - *).

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Q: Express f(x)= x2 +4x + 1 in standard form. Find thevertex of the graph and the maximum or minimum…

A: We will complete the square for f(x) Answer(a): Standard form: f(x)= (x+2)2 -3

Q: What are the coordinates at the minimum point of f(x)= x2-4x+3?

A: f(x)= x2-4x+3 is a parabola with a positive lead coefficient so it will have a minimum at the…

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: 2. Find the local and the absolute maximum and the minimum values Ax) = x4 – 8x3 + 6x² + 40x + 3 %D…

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Q: Find the local maximum and minimum points of f (x) = (3x - 1)3.

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Q: For what value of x does the function f(x) =x³ 4x attain the absolute minimum %3D in the interval…

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Q: Explain why the function f(x)=xe^(-x^2) has an absolute maximum and minimum on the interval [−2, 2].

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Q: The function f(x) = x8 + 4x3 –- 7x + 13 has where the absolute minimum occurs, correct to

A: Given, the function        f(x)=x8+4x3-7x+13

Q: Find the absolute maximum/minimum of function f(x) = x3 - 16x + 1 %3D

A: fx=23x3-16x+1 to find the critical points take derivative=0 ddx23x3-16x+1=0 ddx2x33-ddx16x+ddx1=0…

Q: Please

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Q: Consider the function f(x) = 2 - 7x², −4≤ x ≤ 1. - The absolute maximum value is and this occurs at…

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Q: Find the minimum value of the function. f(x) = -2 - 2x + x2

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Q: The function f(x) = 2x3 + 39x? 216x + 10 has one local minimum and one local maximum. - - This…

A: we will find the local maximum and local minimum.

Q: Consider the function f(x) = 2x° + 9x- 108x + 3, - 6 < x < 4. This function has an absolute minimum…

A: f(x) = 2x3+9x2-108x+3f'(x) = 6x2+18x-108f'(x) = 0 6x2+18x-108=0 x2+3x-18=0(x+6)(x-3)=0x=-6,3 where 3…

Q: Without the aid of a graph, find the absolute maximum and minimum values of the function f(x) = 36x°…

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Q: Find the maximum or minimum value of the function.

A: Given fx=3-x-12x2

Q: Use the function’s equation, f(x) = -x2 + 14x - 106 and not its graph, to find; a. the minimum or…

A: we have been given  f(x) = -x2 + 14x - 106 we have to tell the minimum and maximum value . also we…

Q: Consider the function f(x) = x* – 98x + 1, - 6 < x < 15. This function has an absolute minimum value…

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Q: Find all values of x, if any, where the function f(x) = x5 - 5x3 - 20x - 2 has local maximum and…

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Q: Consider the function 3 2 f(x) = 2x + 18x – 162x + 3, - 9 < x < 4. This function has an absolute…

A: Given, f(x)= 2x³+18x²-162x+3 -9=&lt;x=&lt;4

Q: Find the absolute maximum and absolute minimum values of the function f(x) = -x3 + 12x + 6, over the…

A:

Q: Consider the function f(x)=x^4−72x^2+9, -5≤x≤13. This function has an absolute minimum value  =?…

A: f(x)=x4−72x2+9f'(x)=4x3-72(2x)+0f'(x)=4x3-144xFor the critical numbers…

Q: Consider the function f(x)=1−6x^2, -4≤x≤2. The absolute maximum value is    and this occurs at x =?…

A: ddxxn=n xn-1

Q: f (x) = x²-4x + 3, determine x such that f (x)> 3. what is the maximum value ?And the minimum value…

A: Given query is to find the values of x such that f(x) &gt; 3.

Q: Find the absolute maximum value of y = x³-3x2 + 2 in the interval [-1,3]. (-1,-2) (0,2) O (1,0)…

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Q: Use the graph to identify absolute maximum and absolute minimum values for the function on the…

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Q: Find the absolute maximum or minimum if it exists. 3. f(x) = 2x2 + 3x – 2 4. f(x) = 1 – x – x2

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Q: Find the minimum value of the function f(x) = x – 10x. - Nood

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Q: Consider the function f(x) = x* – 72x + 9, - 5 < x < 13. This function has an absolute minimum value…

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Q: Consider the function f(x)=2x^3+27x^2-60x+1, -10≤x≤2. Find the absolute minimum and maximum value…

A: Answer and explanation is given below..

Q: At which value does the function g(x)= 3x^4 - 4x^3 attain a minimum and what is the minimum value?.

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Q: For what value of x does the function f(x) = -x3 – 4x attain the absolute minimum in the…

A: The value of function which is least in entire range of function is called minimum value of…

Q: Consider the function f(x) = 2x + 21x- 108x + 4, - 9 < x < 3. This function has an absolute minimum…

A:

Q: A company that produces cellular phones analyzes its production and finds that the profit P (in…

A: Given:Profit Function:

Q: For the function f(x)=x3-3x what is the local maximum and where does it occur? what is the local…

A:

Q: 2. Find the local and the absolute maximum and the minimum values Ax) = x4 – 8x3 + 6x² + 40x + 3 of…

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Q: Find the maximum and minimum limits of the function X-2 (x + 2)²

A: Explanation of the answer is as follows

Q: Consider the function f(x)= 2x3+9x2-60x+10.  −5≤x≤3 find the absolute minimum value of this…

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Q: The function f(x) = – 2x + 45? 300x + 7 has one local minimum and one local maximum. - - This…

A: Given,f(x)=-2x3+45x2-300x+7differentiating both the sides w.r.t. xf'(x)=-6x2+90x-300for local maxima…

Q: Consider the function f(x) = 0s xs 2. 9x2 +1' This function has an absolute minimum value equal to:…

A: To find absolute maxima and minima on the interval [0,2] for the function: f(x)=-x9x2+1