The function f(x) = 7x + 8x -1 has one local minimum and one local maximum. %3D This function has a local maximum at = with value and a local minimum at x = with value

Q: Find the intervals in which the function f(x)=3x -18x² +7 is increasing/decreasing. Also find the…

A: For function f(x) you can find the intervals in which f(x) increases by solving f'(x) > 0. For…

Q: Use a graphing utility to approximate the relative minimum of the function f(x) = 3x2 − 4x − 2.

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Q: The function f(x) = 3x + 4x-1 has one local minimum and one local maximum. This function has a local…

A: Given: fx=3x+4x-1, To find: Point of local minimum and point of local maximum and local minimum and…

Q: The function f(x)=8x+5x^−1 has one local minimum and one local maximum. This function has a local…

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Q: Consider the function ƒ(x) = 2x³ + 9x² − 60x+8, − 5 ≤ x ≤ 3. This function has an absolute minimum…

A: Given f(x)=2x3+9x2-60x+8, -5≤x≤3

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: 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: 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 value of the function f(x) = (x - *).

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Q: (a)Find the inflection point(s) and (b) local minimum and maximun f(x)=x4-50x2+6

A: forcriticalpoints.

Q: The function f(x) = 5 + 4x + 64x 1 has one local minimum and one local maximum. This function has a…

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Q: The function f(x) = 4x + 3x has one local minimum %3D and one local maximum. This function has a…

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Q: The function f(x) = 3x + 2x has one local minimum and one local maximum. This function has a local…

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Q: f (x) = x3 – 12x + 1

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Given the piecewise function: 4x + 12 x<-2 - 1<x f(x) = -2x + 6 -2 What is the relative maximum?…

A: We first sketch the function

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: Consider the function f(x) = 3 – 6x?, - 3 < x < 2. The absolute maximum value is and this occurs at…

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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) = 5-6x², -5 ≤ x ≤ 1. The absolute maximum value is and this occurs at x =…

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Q: The revenue function for a oneproduct firm is R(x) = 200 - 1600/(x + 8) - x. Find the value of x…

A: Let a = 1600, so a' = 0 Let b = x + 8, so b' = 1 Let c = a/b, so we use the Quotient Rule: c' = (a'b…

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: The function f(x) = 7x + 8x 1 has one local minimum and one local maximum. This function has a local…

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Q: The function f(x): – 2x3 + 30x² – 54x + 7 has one local min - This function has a local minimum at x…

A: Here we have to find the local minima and maxima of the function.  The given function is…

Q: The function f(x) = 5+9x + 81x- has one local minimum and one local maximum. This function has a…

A: This question is based on maxima and minima.

Q: Find the absolute maximum value of g(x)=−2x^2+x−1 over [−3,5].

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Q: 5.f (x) = x2 – 8x + 4

A: the given function is: fx=x2-8x+4 we have to find the critical values, inflection, maximum and…

Q: Find the maximum or minimum value of the function. h(x) =1/2x2 + 6x − 2 h(x)= Is this a maximum…

A: To find maximum or minimum of a function, we will take first derivative of f(x) to find critical…

Q: Find the local maxima and local minimum value of function f(x) =xx

A: We use first derivative test to find local maximum and minimum

Q: Let f(x) = (x-2)2 (x-1) Maxima Minima Maximum Minimum

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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 maximum and minimum values of f(x)= x*-3 x-1 on [-2,2].

A: fx =x4-3x3-1 , -2,2 first find critical point of given function  f'x =4x3-9x2 Now set first…

Q: Consider the function f(x) = 1 – 3x2, - 5 < x < 2. %3D The absolute maximum value is and this occurs…

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Q: The function f(x) = 6x + 9x¯1 has one local minimum and one local r This function has a local…

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Q: Find the x-coordinate of the absolute maximum and absolute minimum for the function 9. f(x) = 10x +…

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Q: b) Find all points of local maxima and local minima of the function f(x) = x' – 3x + 3.

A: We use application of derivatives to solve this problem.

Q: Find the critical values, inflection, maximum and minimum points of the function. Also, provide a…

A: The given function is fx=x2-8x+4.

Q: Find the locations and values of all relative maxima and minima ƒ(x) = x + 1/x

A: Given: fx=x+1x We know that for any given functionfx, relative maxima occurs at a value of x where…

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: Consider the function f(x) = 4 – 6x², - 5 <x < 2. The absolute maximum value 4 and this occurs at x…

A: First we find critical point where f'(x)=0 For Absolute minimum and maximum we need to check value…

Q: The function f(x) = 2x° 33x + 108x + 2 has one local minimum and one local maximum. This function…

A: first we calculate first derivative and second derivative.

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

A: The given function is: f(x)=5-3x2,            -5≤x≤1

Q: The function f(x) = 5x + 3x has one local minimum and one local maximum. This function has a local…

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Q: f(x) = -x + 6x + 5 on [5, 8] %3D maximum minimum

A: Differentiate wrt x and put derivative to zero for maxima and minima  If value of x lies on given…

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: Find the absolute maximum value of the function   f(x)   = x - ex

A: Given:fx=x-ex

Q: The function f(x) = 2 + 4x + 36x 1 has one local minimum and one local maximum. %3D This function…

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Q: Given f(x) =x³ – 81x + 10, use rates of change to verify that there is an optimal value at x = -9.…

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Q: The function f(x) = 2x³ 24.x2 + 42x + 6 has derivative f'(æ) = 6x² – 48x + 42 - f(x) has one local…

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Average

In mathematics, everyone must have heard the term average in one place or other. Almost all types of calculation require taking out an average. In everyday life, the term is used for denoting a certain amount that can be said to be a typical quantity for multiple people or objects. In other words, if a group of people possesses a certain object, then the average gives us an idea regarding the quantity of the object possessed by each person. However, this is solely based on mathematical calculation. It is important to note that most people will not strictly have the average value in a group.