Function f(x) is positive when 1

Q: (₁ Find the absolute extrema of the function on the closed interval. ƒ(x) = x³ − 12x + 1, [-3,1]

A: An absolute extrema of a function in a given interval is the point at which a maximum or minimum…

Q: 2) Consider the function g(x) = x3 + 3x2 – 9x + 2 on the interval [-4,2]. Find all local extrema,…

A: According to our company policy we can only answer the first question and rest of the questions can…

Q: 4) Find the absolute maximum and absolute minimum values of f on the given interval. (a)f(x) = 3x² –…

A: Find the absolute maximum and absolute minimum values of fa) f(x)=3x2-12x+5 , 0,3 b) fx=x-lnx , 12,2…

Q: 3. Find the absolute maximum and absolute minimum values of f on the given interval. a. f(x) = 12 +…

A: This question is related to maxima and minima of functions, We will solve it using differentiation.

Q: 1) Find the absolute extremum values of f(x) = x² – 3x + 20 over the interval [1, 3].

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Q: 3. A theatre has determined that its profit function is given by P(x)=x² +9x-11, where x is the…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: 8 2. Find the absolute extrema, if they exist, as well as where they occur for f(x) = 2x + + 1, x >…

A: Given function  f(x) = 2x + 8/x2 + 1      , x>0  To find the absolute extrema, let's find the…

Q: Xs-1 Let f(x) = {[x+1]-[1-x). -1<x<1 x21 1x|x- where [] denotes the greatest integer function, then…

A: Introduction :

Q: 3. Find the absolute maximum and absolute minimum values of f(x) = 2x´ - 4ln(x) on the | interval […

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Q: The process by which we determine limits of rational functions appliesequally well to ratios…

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: ∫x=x-5 ln x⇒∫'x=-5x-6ln x+x-5.1x⇒∫'x=-5 ln xx6+1x6⇒∫'x=1-5 ln xx6

Q: 2) Consider the function g(x) = x³ + 3x2 - 9x + 2 on the interval [-4,2]. Find all local extrema,…

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Q: Consider the region bounded above by f(x)=−6x^2−50 and below by g(x)=−5x^2−19x+40. Find the area, in…

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Q: Find the absolute maximum and minimum values ​​of f (x) = x ^ 3 -3x ^ 2 + 1 on the interval [-1 /

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Q: Find the absolute maximum and absolute minimum of the function f ( x ) = x 2 e -x on the closed…

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Q: 1. Find the absolute maximum value of the function f(x)=x³ – x² – - x on the interval -1<x<10.

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Q: 1) Find the average rates of change of f(x) =x^3-3x a) from x1=-2 to x2= -1 and b) from x1=0 to x2=1…

A: 1.The average rate of change of any function (say y) is given by the formula -y =…

Q: f(x) = (x – 3)², defined on 0 < x < 5 Find the absolute maximum and absolute minimum of f(x) on the…

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Q: A cubic polynomial function f is defined by f(x) = 4x3 + ax2 + bx + k where a, b, and k are…

A: f(x) = 4x3+ax2+bx+k local minimum at x=-1point of inflection at x=-2At point of inflection ;…

Q: 4.x2 with f'(x) = x(x+8)(x - 2) (x+ 2)3 8(7x – 4) (x +2)4 f(x) = and f"(x) = %3D (x + 2)2 a. Find…

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Q: (3) Find the absolute maximum and minimum values of f(x) = x³ – 3x – 1 on the interval [0,3).

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Q: 7. Find the absolute maximum and minimum, if either exists, for the function below on the given…

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Q: Determine the area, in square units, bounded above by f(x)=−x^2−8x and g(x)=3x+24 and bounded below…

A: Given that  fx=−x2−8xgx=3x+24 To find the area bounded above by f(x)

Q: 7) Find the absolute maximum of the function f on (0,0) f(x) =10xe2* %3D

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Q: The process by which we determine limits of rational functions appliesequally well to ratios…

A: Given that limx→∞ x2+1x+1. Compute the limit as follows.

Q: A function f has derivative f′(x)=x^3(x−1)^2(x+1)(x−2). At what numbers x, if any, does f have a…

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Q: Q1: _lim, Q2: lim (x-1)(x-2) x+1 x+01+stnx Q8: lim h-o = (C)-8 x²-16 Q3: f(x)=x²-5x+4 is…

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Q: True or False. If f(x) is a differentiable function such that f '(-1) = 0, then f(x) either has a…

A: we have to tell that statement is true or false. If f(x) is a differentiable function such that f…

Q: Find all absolute extrema in the function k(x) = (x2 – 4)-2 on the interval [-3, 3].

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Q: 7. Find the absolute maximum and minimum of f(x) = x!/² ( on the interval [0, 4]. %3D

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Q: The function f(x) = 3 x4-4 x3-12 x2 +1, is decreasing on the interval OA (-00,-2)U(0,2) OB…

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Q: find the absolute maximum and absolute minimum values of ƒ over the interval ƒ(x) = x - 2 ln x,…

A: The given function and the interval is,

Q: Consider the function f(x) = x – 3 ln(x) on the interval 3 The absolute maximum value is and this…

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Q: The function f(x) = 2x° – 36x2 + 162x – 11 has two critical numbers. The smaller one equals and The…

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Q: Find the absolute maximum and minimum values of the function g(x) = 2x− 4sin(x) on the interval [0,…

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Q: Find the x - values of the extrema of the function f(x) = 3x³ – x over the interval 3'3 1 absolute…

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Q: 3. The horizontal asymptote(s) of f (x) = Vx² – 1- væ² +x.

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Q: Find the area (in square units) of the region under the graph of the function f on the interval [−2,…

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Q: Find the absolute maximum and minimum values of f(x) = (x² + x)i over the interval [-3, 4]. absolute…

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Q: Determine the area, in square units, bounded above by f(x) = -x^2 + 2x + 3 and g(x) = -x + 3 and…

A: Determine the area, in square units, bounded above by f(x) = -x^2 + 2x + 3 and g(x) = -x + 3 and…

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

A: Consider the given function, gx=x+4 over the interval -7, 1 differentiating the above function we…

Q: Consider the function f(x) = x - 3 ln(x) on the interval The absolute maximum value is and this…

A: Consider the given function, fx=x-3lnx differentiate the function with respect to x,…

Q: Find the absolute maximum and absolute minimum of the function f(x)=x^3-18x^2+96x+150 on the…

A: The function is given by fx = x3-18x2+96x+150 To evaluate: The absolute maximum and minimum of the…

Q: f(x)=12+4x-X ', [o,s]

A: We will use derivative test to find the maxima and minima.

Q: Find the absolute maximum and minimum of the function f(x)=x^3-9x^2+15x+42 on the interval 0 is less…

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Q: 1. f(x) = x2 + x – 1 for all values of x %3D

A: A detailed solution is given below

Q: Find the absolute maximum and the absolute minimum of f(x) = x^3 − 3x^2 on the interval [−1, 3].

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: