Find the absolute extrema of the function f(x)-X-32x+256on the interval -5,5). The function has an absolute minimum at x=1| (Simplify your answer. Use a comma to separate answers as needed.)

Q: Consider the function f(x) = 2.r3 – 2x2 – 4x + 8. -

A: It is given that, f(x)=2x3-2x2-4x+8   At inflection points, the second derivative of the function…

Q: What is the absolute minimum on the interval [-2,1] for f(x) = 6x³ + 6x² – 6x + 14? A 1/3 B) 2 -6 -1

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Q: Find the absolute extrema of the function on the closed interval.                         f(x) = 2x3…

A: We find the critical points by solving f'(x)=0 -1 is not in the interval [0,3] 1 lies in [0,3]

Q: The absolute minimum of f(r) = 20z² – I+1 is

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Q: The absolute minimum value of the function f(x) = 7x2 - 14z +9 over the interval [0, 8] O 10 O 2 O…

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Q: Given f(x) = 2æ – 33x2 + 168x + 7 over the interval of 0 < x < 10 , answer the following: a) The…

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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: Find the absolute minimum and absolute maximum values of fon the given interval. Rx) = x- In(7x), 2…

A: The given function is fx=x-ln7x,  12,2.

Q: Find the maximum value of |f ''(x)| on the closed interval. (If an answer does not exist, enter…

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Q: Find the absolute maximum value for f (x) = x'e¯ on the interval [-1, 3].

A: We can find the absolute maximum value using the application of derivative as below.

Q: The absolute minimum of f() = x² +3x – 1is

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Q: Find the absolute extrema of the function on the closed interval. 9x2 g(x) [-2, 1] х — 2 minimum (х,…

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Q: What is the absolute maximum value of f(z) = z³ – 3z² +4 on the interval (-1, 1]? %3D (A) 4 -2 (C) 0…

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Q: Find the absolute maximum and absolute minimum of - x2. f(x) = + x² – 15x over the interval [1, 5].…

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Q: Find the absolute extrema of the function on the closed interval. f(x) = x³ – 12x, [0,6] minimum (х,…

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Q: Find the location of the minimum absolute extremum for A. No minimum the function. В. х%3D — 1 Af(x)…

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Q: Find the absolute extrema of the function on the closed interval.

A: Relative extremum of a function are critical points of the function. Critical points of a function…

Q: What is the absolute minimum value of the function f(x) = x³ – 3x2 on the interval [-1, 4] ? а. 16 O…

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Q: Find the maximum and minimum values of the function y 32t-t on the Interval [4, 61. %3D maximum…

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Q: Find the absolute minimum of the function f(x)= = 02 GW/N 0.3 4 O 1 0-2 01 2 2x x2 +4 on the…

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Q: The area bounded by the curves f(x) 19x + 9 and g(x) = 19x² +9 is 3.17 square units 0.95 square…

A: Known fact: The area bounded by two curves fx  and  gx from x=a  to  x=b is given by A=∫abfx-gxdx.…

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: Find the absolute maximum value of f(r)= x-2x+ 16 over the interval 0, 5

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Q: How do you determine where the absolute extrema of f(x)= (4x)/((x^2)+1) on the interval [-4,0]…

A: First we find the critical points of f in the interval [-4,0]. The critical point are found at…

Q: Let f (x) be the square of the distance from the point (2, 1) to a point (x, 3x + 2) on the line y =…

A: The square of the distance between two points (a, b) and (c, d) = (c - a)2 + (d - b)2

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: A be a positive real number. If the absolute minimum value of f(x)= Ax³ – 45x³ on [0, ∞) occurs at x…

A: Applying critical point and absolute value test

Q: Locate the absolute extrema of the function on the closed interval. f(x)= x³ 12x, [0, 4] -

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Q: Determine the absolute maximum and minimum values of f(x) = x3 – 12x – 5 on %3D the interval [-4,…

A: We need to find absolute max and min values.

Q: What is the absolute minimum value of the function f(x) = x - 3x2 on the interval [-2, 4] ?

A: Given function is f(x) = x3 - 3x2 ; -2 ≤ x ≤ 4 We have to find its minimum value.

Q: Find the absolute maximum and absolute minimum of f(x) = +x2 . the interval [4,8]. %3D

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Q: Given the function f (x) value of f on the closed interval [-2,4]. -x° + 3x2 – 9, determine the…

A: We have to find absolute minimum valu

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 absolute extrema of the function on the closed interval.                    f(x) = x2 + 5x,…

A: Absolute extrema of the function on the closed interval occurs at a point where its first derivative…

Q: Find the absolute maximum and minimum on the interval [1,7]. f (x) = (x – 1)(x – 5)² + 1

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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: Find the absolute extrema of f(x) = 2x3+3x2−12x on the interval [0, 2]

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Q: The function f(x, y) = -2x² + 4y? - 11 has a local minimum at the point (0, 0). Select one: O True O…

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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 maximum and absolute minimum values of f(x) = 2x2 −20x+550 on the interval[1,10]

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Q: Find the absolute maximum and minimum of the function f(x,y) = 2y + 64x – 14 over the closed region…

A: The solution is given in the next steps.

Q: On the graph of f(x) = cos x and the interval [-27, 0), for what value of x does f(x) achieve a…

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Q: Find the absolute extrema of f(x) = 2x5 on the interval |-5,-3]. %3D fx) = is the absolute maximum.…

A: Given: fx=2x45 And the interval is -5, -3.

Q: Find the absolute maximum and minimum values of f(x) = 2x³ – 36x2 + 120x -8 on the interval [0, 12]…

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Q: 5. Argue that the function f(x, y) = x²y(5 – x² – y?) has an absolute maximum in the first quadrant…

A: 5.    f(x, y) = x2y (5-x2-y2)∂f∂x= 10xy -4x3y-2xy3∂f∂y = 5x2-x4-3x2y2∂f∂x=0  ⇒10xy -4x3y-2xy3=0…

Q: Find the absolute maximum value of f(x) = x? – 2x + 5 on the interval [0,4]. -

A: Given data   The given function is f(x)=x2-2x+5. The given interval is [a,b]=[0,4].   The…

Q: 3. Find the number in the interval ,2] such that the sum of the number and its reciprocal is (a) a…

A: Let number = x,  It is given that, the function is = sum of number and its reciprocal