Consider the function f (x) = 4x³ – 30x² + 48x on the interval [-3, 7]. Find the absolute extrema for the function on the given interval. Express your answer as an ordered pair (x, f (x)).

Q: The function f(x) =3 x4-4 x3-12 x2+1, is increasing on the interval

A: f(x) = 3x4-4x3-12x2+1f'(x) = 12x3-12x2-24xf'(x) = 12x(x2-x-2)f'(x) = 12x(x2-2x+x-2)f'(x) =…

Q: Find the points of discontinuity of the function f(x)={1−x2,x<0x+2,x≥0 if they exist.

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Q: Consider the function f(x)=5x+6x^2 over the interval [0,1].

A: Given that :-         f(x) = 5x+6x2 over [0,1] (a)  By deviding the interval into n sub intervals of…

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

A: Find the derivative for g(x).…

Q: use the second derivative test to find the local exterma of the function f(x) =x3 -9x2-48x+72 on R

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

A: The given function is Solve the absolute extrema on closed interval [0,4] by finding its derivative…

Q: Find the absolute extrema of the function on the closed interval.                          h(x) = 5…

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Q: Consider the function f(x) = x³ + x2 - x + 5 on the interval [-3, 0]. Find f'(x). f'(x) =

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Q: Find the absolute extrema of f(x) = x3 +5x2-8x+2 on the interval [−1, 2].

A: Given function is fx=x3+5x2-8x+2 ; x∈-1, 2

Q: Find the absolute extrema of f(x) = x³ - 6x - 1 on the interval [-2,3].

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

A: Given: fx=x2+5x,  -4,0   To Find: The absolute extrema of the function on the closed interval.

Q: Find the absolute extrema of f(x) = 6x + 4 + on the closed interval [1, 6). Show all work.

A: Absolute extrema at x=2 and 6..

Q: f(x, y) = /4 – x² – y² + V1 – x? -

A: To find the domain of the function, f(x,y)=4-x2-y2+1-x2

Q: The function f(x)=x2 is decreasing on the interval...................... .

A: Given,f(x)=x2 f(x)=x2 On differentiating both sides w.r.t x we get: f'(x)=ddx(x2)⇒f'(x)=2x Now, we…

Q: Find the absolute extrema of the function f(x)= (x+2)4 (x2 -8)2  on the interval [-4,1].

A: Given,f(x)=x+22x2-82 An absolute extremum of a function in a given interval is the point at which a…

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

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Q: Find the absolute extrema of the function on the closed interval. f(x)=6-x,   [-4,1]

A: Given function is, fx=6−x,   −4,1 To find the absolute extrema of the function on the closed…

Q: The path of a diver is modeled by 24 *+ 13 f(x) = - where f(x) is the height (in feet) and x is the…

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Q: Find the interval where the function, f(x) = 5 V3x – 2V3x + 57 is increasing?

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Q: Find the absolute extrema of f (x) = 2x – 3x² – 12x +1 on the interval [-3,3].

A: fx=2x3-3x2-12x+1 Differentiating with respect to x, we get f'x=23x2-32x-121+0=6x2-6x-12 Now to find…

Q: 4x 82. f(x) = X - 3

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Q: Find the absolute extrema of the function on the closed interval. 3 f(x) = x³ – , [-1,2]

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Q: Find the absolute extreme of the function on the closed interval y = 3cosx ; [0,2π]

A: To find the absolute extreme of the given function.

Q: (2022) , find feua (0) (1-x3 2x given f(x) 2

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

A: We have to find absolute extrema of the function on the given close interval: fx=x3-32x2,    -1, 2…

Q: Find the average of the function h (x) = 4x² – x + 5 on the interval [-2,3]. %3D Average=

A: h(x)=4x2-x+5 on the interval -2, 3

Q: Determine the interval on which the function f( x) = 44x – 4-x+12 is concave down.

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Q: Find the extrema of f(x) = 3x4 − 4x3 on the interval [−1, 2].

A: The given function f(x) = 3x4 − 4x3 on the interval [−1, 2].

Q: Compute for the possible root of the function f(x) = x4 - x³ - x? - 4 in the interval [-2, -1]. Use…

A: The equation in the form f(x)=0 is called a transcendental equation. If the function is continuous…

Q: If a and b are positive numbers, find the maximum value of f(x) = x°(2 - x)b on the interval 0sx <…

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

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Q: Find the absolute extrema of the function on the closed interval.                        f(x) = 7x2…

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Q: For the function, find all critical numbers and then use the second-derivative test to determine…

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Q: Consider the function f(x) = 1 - 7x² OI function on this interval, i.e. f(3)-f(-4) 2 4)

A: answer is in next step . please give a like !!

Q: The slope of the line tangent to the graph of f(x) = 18 – 5x² at the point x = -8 O 20 O 10 O 160 O…

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Q: Find the absoltute extrema of the function f(x)=x"-32x+256 on the interval-5,5

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Q: Find the absolute extrema of the function ƒ(x) = 3x2/3 - 3x5/3 on the interval [0, 8].

A: Given ƒx = 3x2/3 − 3x5/3 on the interval 0, 8.

Q: Consider the function f(x)=4x^3+48x^2+180x on the interval [−7,2]. Find the absolute extrema for the…

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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: Locate the absolute extrema of the function f(x)=x'-12x on the closed interval [0, 3].

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Q: Find the average of the function h (x) == 4x² – x + 5 on the interval [-2,3]. %3D Average=

A: Given query is to find the average value of the function for the interval [-2,3]

Q: Find the values that make the piecewise function continuous: 2, XS-1 f(x) = ax + b, -1<x< 3 x2 3 -2,

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Q: The function f(x) = 2 + 3x² – x³ is concave upward on the interval: (-∞, 1) (1, ∞0) (-∞, 0∞0) None

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Q: On what interval is the function f(x) = x^3 - 4x^2 + 5x concave upward?

A: Use given function find the required result

Q: Find the constant a such that the function is continuous on the entire real line. (9x², Flx) = {9x?,…

A: Given function is : fx=9x2    ,      x≥1ax-6   ,    x&lt;1 Here given that function is continuous…

Q: What is the largest interval in the function f(x) = x² - 2x + 1? A. (-∞, 1) B. (-∞, 0) C. (1, ∞)…

A: Function -  parabolic function    Option A is the correct option.

Q: Find the absolute extrema of the function f(x) = x³ 23-a on the interval

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Q: Find the global extrema of the function f(x)=3x4−6x2+2 on the interval [−2,2]

A: Global extrema of a function exists at critical points or at the end points of the interval.…

Q: Find the absolute extrema of the function on the closed interval.                   f(x) = 4x / (x2…

A: f(x)= 4xx2+9so,  f1(x)= 4(x2+9) - 4x(2x)(x2+9)2Now equ    f1(x)=0=                4(x2+9) -4 x(2x) =…