Find any relative maximum or minimum points of the given function. y = x* - 18x2 - 6 O Minima at (3, -87), (-3, -87); maximum at (0, -6) O Minimum at (-3, -87), maximum at (3, -87) Maxima at (3, -87), (-3, -75); minimum at (0, -6) Minimum at (0, -6), maximum at (3, -87)

Q: Find the relative maximum / minimum values of the function S(x)= *-2 x+2 State where the function is…

A: The given function is: f(x)=x-2x+2⇒f(x)=x+2-4x+2⇒f(x)=1-4x+2

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: iii) State the points of local maximum and local minimum values for f.

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

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Q: Find the critical points and determine whether they are minima, maxima, or neither. f(x) = x 3 - 4x…

A: We have to find the critical points and we have to determine whether they are minima, maxima, or…

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A: To find the parabola equation in terms of x.

Q: Find the absolute maximum and absolute minimum values of the function F(x)=x^3+6x^2−63x+3 a.…

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Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A: Given the vertex (h, k) = (2,-1) The parabola

Q: Find the maximum point for the function f(x) = 1 + 12x – 4x O (-1, -7) O (2, -7) O (0, 1) (1, 9)

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Q: Find the absolute maximum and absolute minimum values of the function, if they exist, over the…

A: Let us consider the given function f(x). The maxima and minima is obtained as, If f''(x)>0 then…

Q: Given the function yx-4x. Determine 1. intervais of increasing and decreasing points of local…

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Q: determine all critical points and all domainendpoints for each function. y = x2 - 32√x

A: Given that:   *The function is y = x2 - 32√x. The critical is the point at which the function of the…

Q: Find all local extreme values of the given function and identify each as a local maximum, local…

A: Given:  f(x,y)= x3+y3-192x-12y-10.

Q: find the function’s absolute maximum and minimumvalues and say where they occur. ƒ(x) = x4/3, -1 ≤ x…

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Q: Determine all critical points for the function. 5) y = 3x2 - 96x

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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: f (x) = x4 – 2x² + 3

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

Q: Find the minimum of f(x) = 3 + 6*x + 5*x2 +3*x3 + 4*x4 in the range of [-2, 1]

A: the given function is f(x)=3+6x+5x2+3x3+4x4 find the derivative  f'(x)=6+10x+9x2+16x3 find the…

Q: Determine any critical point(s) for the function f(x)=-3x2-9

A: For Critical Points We will Put F'(x)=0

Q: Use a graphing calculator to estimate the local maximum and local minimum values of the function to…

A: Local extrema.

Q: Determine all critical points, intervals of increase and decrease, maximums and minimums of the…

A: f(x)=8x3-18x2-24x-10Differentiate both side with respect to xf'(x)=24x2-36x-24for maxima and…

Q: : Let y = x3-3x + 2, find the absolute maximum and minimum on the closed interval [-3,3] and sketch…

A: Given  y = x3-3x+2 We have to find the absolute maximum and minimum on the closed interval [-3, 3].

Q: Use a graphing utility to approximate (rounded to two decimalplaces) the local maximum value and…

A: Given: fx=x3-2x2-4x+5; -3<x<3 For finding values of local maxima and local minima, we draw…

Q: Suppose that a function f(x, y) attains an absolute minimum at the point (2, -3), and an absolute…

A: Given that f(x,y)  attains absolute min at (2,-3) f(x,y)  attains absolute max at (-3,2) The new…

Q: Draw the graph of f (x) = 3x +7/5x - 25 in the window [0, 25] by [0, 50]. Use the trace feature of…

A: Given: fx=3x+75x-25 in the window [0, 25] by [0, 50].

Q: Find all local extreme values of the given function and identify each as a local maximum, local…

A: Given that      f(x,y)=x3+y3-12x-108y-2 Here we have to find all extreme values.

Q: Find the maximum and minimum values of the function Z = 8X1 + 5X2, subject to the following: 3X1 –…

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Q: Find the x-coordinate of all relative maximum and relative minimum values, if any, of f. Be sure to…

A: Our objective is to solve d.

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: 2. f (x) — Зx5— 20х3

A: 2. Given function is               f(x)=3x5-20x3

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A: The standard equation of the parabola having vertex at (h, k) is given by, y-k=a(x-h)2

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

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Q: Find a function whose graph is a parabola with vertex (5, -4) and that passes through the point (1,…

A: Please refer the attached image for complete solution.

Q: Find the exact global maximum and minimum values of the function. fu) = 4x – 4lnx for x > 0 If there…

A: If second derivative  greater than zero then minima and less than zero then minima

Q: Rx) =-x + 6x + 5 on [5, 8] maximum minimum

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Q: determine all critical points and all domainendpoints for each function. y = x - 3x2/3

A: y = x-3x23   Domian:  x ∈ -∞, ∞

Q: Find the length of the graph of the function y /3-/3 on the interval [1, 8]. %3D

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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 and label as minimum or maximum the stationary points for: f(x)-x -20х+105

A: We will solve the problem

Q: Find all local extreme values of the given function and identify each as a local maximum, local…

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Q: concavity, points of inflection, local maxima and minima

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Q: Investigate the existence of the local maximum and or minimum of the function f(x;y) = x³ +y³3 – x²…

A: We will use second derivative test at check maxima and minima

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 and the absolute minimum value, if any, of the function. (If an…

A: We first find the critical points by solving f'(x)=0…

Q: Find the critical points, domain endpoints, and local extreme values for the function. -x² - 6x +5,…

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Q: Determine the global maximum and minimum function a)f(x) = 3x2 – 12x in the intervals [0,3]

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Q: Find the critical points, domain endpoints, and local extreme values (absolute and local) for the…

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Q: Find the absolute maximum and absolute minimumvalues of f on the given interval.   f(x) =x3 - 6x2 +…

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Q: c) A function with an absolute minimum at (4, -3) and a local maximum at (-2,6) 6- 4- 2- -4 d) A…

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