The function f(z) = 2r + 15z2 - 84r - 1 is decreasing on the interval It is increasing on the interval (-00, and the interval ( 00). The function has a local maximum at

Q: Find the absolute maximum and absolute minimum of the function f(x) =1² – 6z + 5 over [1, 6].

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Q: A function f(t)= 5x + 8x^-1 has one local minimum and one local maximum what is the function has a…

A: Given query is to find the local maximum and the minimum for the function f(x).

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Q: For finding the root of the function: f(x) = 3x – x² Do 2 steps of the bracketing method, given the…

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

Q: 2. Find the absolute minimum and the absolute maximum of the function f(x) = x* – 4r³ +5 on the…

A: An airline flies 120,000 passengers per week to Florida when charging $100 per ticket. It estimates…

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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: 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: Given f(x) - 2r - 3x - 36x + 5. a) Find all critical numbers of f(x). b) Spocify where the function…

A: Consider the given: a) Find the critical numbers: fx=2x3−3x2−36x+5Differentiate w.r.t.…

Q: The weekly demand for DVDS manufactured by Herald media Corporation is given by p =-.0005x +60,…

A: To find the revenue function, calculate Rx=x·p, where p=-0.0005x2+60.…

Q: 2. Find the absolute minimum and the absolute maximum of the function f(x) = x - 4r +5 on the…

A: Steps to find the absolute maximum and minimum of a function f(x) on [a,b].  : Find the critical…

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

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Q: x² 1. Why must the function f(x)=√/25 - x² + have an abso- 8 lute maximum and an absolute minimum on…

A: Given: f(x)=25-x2+x28 To find: 1. Why must the given function have an absolute maximum and an…

Q: (b) Find the values of a and b so that the function f(x) = x2 + ax + b has a local maximum at the…

A: f(x)=x2+ax+b

Q: The function f(x) = 2a* - 39x2 + 240x + 10 has derivative f'(x) = 6x² – 78x + 240. f(x) has one…

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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: Find the minimum value of f (x) = 6x² + 7x – 24 in the interval [-2, 1]. O The absolute minimum…

A: Given- fx=6x2+7x-24 To find- The minimum value of the above function in the interval -2,1. Concept…

Q: Find the absolute maximum value of the function f(x) = -x² – 4x – 2 on the interval [-3, 3 ]. %3D

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Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: The critical points of the function are the points where the function is defined but its first…

Q: the absolute maximum and absolute minimum values of f(x) = x2/3(x+4)2 on the interval [−6, 1]. must…

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Q: Find the x -values corresponding to all critical points of the function f(x)=x5-a4x , where a is…

A: Critical points of a function are the points where the derivative of the function is zero.   f(x) =…

Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: Giveny=-5x-14

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: Find the critical point and determine if the function is increasing or decreasing on the given…

A: Please refer the attached image for complete solution.

Q: find all critical numbers of the function f(x)= 4x^4-42x^3-360x^2+35

A: Given, f(x)=4x^4-42x^3-360x^2+35

Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: Solution:Given        f(x)=xe-3xTo find:(a)Critical Point(b)the open interval where the function is…

Q: On the interval -2 < x < 1, the function is… •maximum •minimum •increasing •decreasing •constant

A: Given a graph of any function. To find whether the function is maximum, minimum , increasing ,…

Q: B. Find the intervals of increasing/decreasing of the function f(x)=-- 4x +10x² -7. 4 Also find the…

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Q: For the function f(x) = x3 - 3x. Its local maximum is                 which occurs at ( Its local…

A: Given     fx=x3-3x

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: 3. Find the stationary points (local maximum and local minimum) of the function f(x) = -3x3 + 3x² +…

A: Solution:Given  f(x)=-3x3+3x2+3x+6To find Stationary points of the given function:Formula:dfdx=0…

Q: 15. For this function find the coordinates of points on the graph that are local maximums or…

A: Local maxima and minima

Q: 3. Find the intervals of increasing/decreasing of the function -4x' +16x² – 20.Also find the local…

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Q: Find the absolute maximum and minimum values of the function f(z) =r²e* on the interval [-4, 8]…

A: Given, The function  fx=x3e-x We have to find the absolute maximum and minimum value in the interval…

Q: The graph of f(x) = 2a² + 12z² – 72z + 14 has two horizontal tangents. One occurs at a negative…

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Q: Find the absolute maximum and absolute minimum values of the function f (æ) = 3z - 4r - 12z +1 the…

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Q: 3. Determine the absolute maximum and absolute minimum on the interval [-1, 2] for the function…

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Q: Find all the critical points of the function f(x)=5x^6+12x^5-60x^4+56 .  Use the First and/or Second…

A: Consider the given function as fx=5x6+12x5-60x4+56. Note that the domain of the polynomial function…

Q: 2. Find the absolute maximum value and the absolute minimum value of the function 3 f(r) = 5 – x2 on…

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Q: Find the absolute maximum and minimum values of the function f (x) = V4 – x² in the interval [-2,…

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Q: The function f(r) = 4x' + 6x² – 672z +3 is decreasing on the interval ( It is increasing on the…

A: Let's find.

Q: (b) Find the linearization of function S(x) = Vx V220 at a=216 and use approximate number (c)Find…

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Q: The average cost per item for a product is given by: AC(x)= x^3/3-7x^2/2+12x+10 Where x is the…

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Q: The function f() = 2x - 33x2 + 168x +11 has derivative f'(x) = 6x – 66x + 168. f(x) has one local…

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Q: Find the maximum and minimum values of the function f(x) = x/3 10z/3 on the interval [- 3,3]. 26 13…

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Q: 6. For the function f(x) = 3x* – 24x², (a) find all critical numbers. (b) determine the intervals of…

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Q: Sketch the graph of y = (x – 3)*(x + 1)³(x - 1) by finding its intercepts and its limits as x → o…

A: topic - functions

Q: (b) Find the values of a and b so that the function f(x) = x² + ax + b has a local maximum at the…

A: Given that a function f(x)= x2 + ax + b . And local maximum at point (17,-5) we find the value of a…