Given the function f(x)=4x³– 39x²+ 90x +2• which of the following describes its absolute extrema at interval [1, 6]? Absolute maximum at f (6); absolute minimum at f(10) Absolute maximum at f(1); absolute minimum at f (6) Absolute maximum at f (5); absolute minimum at f Absolute maximum at ; absolute minimum at ƒ (5)

Q: Does ƒ(x) = (7 + x)(11 - 3x) 1>3 have an absolute minimum value or an absolute maximum?

A: Here we have,  f(x)=(7+x)(11-3x)13 differentiate with respect to x

Q: Find the x-coordinate of the absolute maximum and absolute minimum for the function f(x) = 11+ 4x +…

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Q: Find the absolute maximum and absolute minimum of the function f(x)= x² – 4x + 3 over [1, 4].

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Q: Consider the function f(x) = 4 – 5x", – 3 < x < 2. - - The absolute maximum value is and this occurs…

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Q: 11) Find the absolute maximum and minimum indicated interval. x² -x+1 -2 f(x) = x³ +

A: Given query is to find absolute minimum and maximum for f(x) in the given interval.

Q: The function f(x) = 7x + 2x¯1 has one local minimum and one local maximum. This function has a local…

A: Consider the given function. f(x)=7x+2x-1                                       (1) Find the…

Q: Find the absolute minimum value of the function g(x) = (x – 2)3 (x + 2) on the closed interval -2 <…

A: It is given that, g(x)=(x-2)3(x+2) on the close interval -2≤x≤3.we have to find absolute minimum…

Q: The goal of this problem is to find the maximum area of a rectangle whose lower-left vertex is at…

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Q: (a) Find all the critical points, extreme values, interval of concavity and the zeros of the…

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Q: Find the absolute minimum value of the function f(x)=2ex^2-2x+1 on the domain [-1,2].

A: Given function is : fx=2 ex2-2x+1 To find the absolute minimum value of the function in the domain…

Q: Find the absolute maximum/minimum if any of f (x)=x' +3x² +1 on the interval [-3, 2].

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Q: Find the absolute maximum and minimum values of f(x) = 2x³ + 3z² + 7z – 5, if any, over 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: For the graph of a function y = f(x) shown on graph, find the absolute maximum and absolute minimum,…

A: Absolute maximum at x=3 and absolute maximum value=7

Q: 1. Find the absolute maximum and minimum on the given interval [1,6]. g(x) = x³ – 6x²

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Q: Find the absolute maximum and absolute minimum f(x) = x³ – 6x² + 9x + 9, [-1, 8] %3D absolute…

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

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Q: Find the x-coordinates of the absolute extrema of f(x) = -x² + 7x on the interval [1, 7]. Absolute…

A: f(x)=-x2+7x differentiating both side f'(x)=-2x+7 now f'(x)=0 -2x+7=0 x=3.5 So x=1, 3.5, 7

Q: 9- 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: 25 Find the absolute maximum and minimum, if either exists, for f(x) = x+-

A: The second derivative may be used to determine absolute extrema of a function under certain…

Q: 5. Find the absolute maximum value on the interval [0,16] for f(x) = (x² – 16x)5 and state its…

A: Concept: If a function f(x) define on interval [a, b] then it's absolute maximum occure either at…

Q: Does ƒ(x) = (7 + x)(11 - 3x)^(1/3) have an absolute minimum value? An absolute maximum? If so, find…

A: Check the function has absolute minimum value.

Q: Find the absolute maximum and absolute minimum values of the function f(x) = x + 12x² – 27x + 8 over…

A: The given function is- fx=x3+2x2-27x+8 Differentiating w.r.t. x- f'x=3x2+4x-27 Critical points of a…

Q: Given the function f(x) =4x3 – 39x²+ 90x+ 2. which of the following describes its absolute extrema…

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Q: Find the x-coordinate of the absolute maximum and absolute minimum for the function f(x) = 12 – 9a -…

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Q: Find the absolute maximum and absolute minimum values of the function f(x) = x³ + 12x² – 27x + 9…

A: Recall: For finding Absolute maximum and minimum on closed interval [a, b] : Locate all critical…

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 absolute maximum and absolute minimum of f(x) = x – 10VT on the interval [1, 100].

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Q: Find the local minimum/maximum of y=x³-9x²+ 15x+4 A minimum at x=5, maximum at x=1 B minimum at x=1,…

A: Given that: y=x3-9x2+15x+4

Q: Find the x-coordinate of the absolute maximum and absolute minimum for the function 3 f(x) = 4 + 12x…

A: Given function is f(x)=4+12x+3x2, x&gt;0 Differentiate f(x) with respect to x. f'(x)=12-6x3

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 absolute minimum of the function f(x) = x²³ - 3x² on the interval - 1 ≤ x ≤ 3. -4 3

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Q: Find the absolute maximum and absolute minimum y-values of the function f(x)= -12 + 4x - x2 on the…

A: The given function is parabola/ Quadratic form so this must contain absolute / relative maximum or…

Q: 1) Find the Absolute Maximum and Absolute Minimum for f(x) = x³ 9x² +24x on [0,5]

A: At absolute maximum and minimum of a function y=f(x), its first derivative is zero, i.e. f'(x)=0 (a)…

Q: For the function f(x)= x-2ln(x), 1/2 is less than or equal to x which is less than or equal to 8.…

A: Given:The function f(x) = x - 2 ln(x), the interval is

Q: Given the function g(x) = 8x³ + 12x² − 288x, find the first derivative, g'(x). g'(x)= Notice that…

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Q: Given the function g(x) = 6x³ + 27x² 72x, find the first derivative, g'(x). g'(x) = 0 when x = -4,…

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Q: Where is there a local maximum on the graph of the piecewise function f(x) = 2x + 5 if x 8?

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Q: The function f(x) = 4x + 4x ¯1 has one local minimum and one local maximum. This function has a…

A: From the given problem:   fx=4x+4x-1ory=4x+4x   Now differentiate the function:…

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: Find the absolute maximum and absolute minimum values of the function f(x) = x + 12x2 – 27x + 4 over…

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Q: 10. Use the closed interval method to find the absolute maximum and absolute minimum values of f(x)…

A: Maximum minimum value problem....

Q: 11. Find the absolute minimum and maximum of f(x) = x³ – 4x2 – 3x + 3 on the interval [0, 4].…

A: Given: fx=x3-4x2-3x+3; x∈0,4 for finding absolute minimum and maximum of given function, we draw…

Q: Find the x-values of the absolute extrema of f(x) = 3x" – 4x³ –8 on the interval [0,2] A absolute…

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Q: Find the absolute maximum and absolute minimum values of the function f(x) = x³ + 6x² – 63x + 4 over…

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Q: Find the absolute minimum value on​ [0,∞​) for f(x) = 2x2 -12x + 6

A: To find the absolute minimum value of the function on the given interval.

Q: Given f(x) = x+ – 4x² on [-1,; Find the point(s) where f has an absolute minimum on the given closed…

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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…

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