2.3 Find all the local and global min, local and global max of a) y = f(x) = x³-x²-x+3 on the closed interval [-1, 2], and

Q: What is the absolute minimum on the interval [-2,1] for f(x) = 6x³ + 6x² – 6x + 14? A 1/3 B) 2 -6 -1

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Q: Find the value of x at which the minimum of the function f(x) = x Occurs. 2.

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

A: Given function is Differentiating with respect to x To find critical numbers of p(x)  That is ,…

Q: 10. If the minimum of the function y =x 2-4x+21 occurs at x = 2, what are the coordinates of the…

A: We have to find mimimum point

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 value of g(x)= 2x2 −2x−2 over [0,6].

A: We have to find absolute maximum value of f(x) in given interval.F(x) is given as:

Q: 1. Find the minimum point of the following curve. Express your answer in this form (#,#) or N/A if…

A: We will use the fact that the derivative of y with respect to x is zero at the point of extrema. The…

Q: What is the absolute minimum of p(x)=2x2 −x−2 over [−2,6]?

A: Obtain the derivative of the function as follows.

Q: The function f(x) = 2x°- 36x+210x + 4 has one local minimum and one local maximum. Use a graph of…

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Q: Find the absolute minimum maximum if they exist for f(x) = x+ 4/x

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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: f (x) = e'/x²

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Q: Find the absolute maximum and minimum values of ƒ(x) = x2 on[-2, 1].

A: Given,  fx=x2 on −2,1

Q: Find the absolute maximum and absolute minimum of - x2. f(x) = + x² – 15x over the interval [1, 5].…

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Q: Does x=6 belong to a local maximum or a local minimum? Does x=0 belong to a local maximum or a local…

A: Here we have,  differentiate with respect to x

Q: What is the absolute minimum value of p(x)=2x2-x-2 over [−2,6]?

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Q: Find the global minimum of the function f (x) = 2x’ + 3x² – 12x + 4 on the interval [-4,2].

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Q: If an even function ƒ(x) has a local maximum value at x = c, can anything be said about the value of…

A: A function is called even function if f(-x)=f(x)Even function is symmetric about the y axis.

Q: Find the absolute maximum of h(x)=x^2−x−2 over [−3,6].

A: Given query is to find the absolute maximum for function h(x) ove the interval  [−3,6].

Q: 1. (Applies to Standard T3) Indicate whether cach of the following statements is TRUE or FALSE. If…

A: Given statement: If f'5=0, then there is either a local maximum or local minimum at x=5.

Q: Identify the absolute minimum of g(x)=−2x2 −x+1 over [−2,4].

A: Absolute minimum:The absolute minimum of a function f on the interval [a, b] will occur either at…

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

A:

Q: Find the absolute maximum/minimum of function f(x) = 4x3 - x2 - 2x %3D for interval of [0, 1]

A: The absolute maximum of a function in interval a,b is the maximum function value over this interval.…

Q: 3. What is the maximum value of the function f(x) = 2x- 2x + 6 in the interval %3D [0, 2]?

A: Introduction :

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: I am stuck on the maximum and minimum values of y and corresponding x.  Will you please assist on…

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Q: Find the absolute minimum and absolute maximum for y = x3 – -+ 4x +1 on [-2,2].

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Q: (7) Does the extreme value theorem tell us that f (x) = ! has an absolute maximum and absolt minimum…

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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: What is the absolute minimum value of the function f(x) = x - 3x2 on the interval [-2, 4] ?

A: Given function is f(x) = x3 - 3x2 ; -2 ≤ x ≤ 4 We have to find its minimum value.

Q: If f has a local minimum at x = 0 and a local maximum at x = 2, what can you say about f'(0) and…

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Q: Find the absolute minimum value of f(x) = 9x² - 5 x + 14 on the interval [0, ∞). Note: You need to…

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Q: Find the absolute maximum and absolute minimum values of f(x) = 8+ 81x – 3x³ on the interval [0, 4].

A: Given function is  f(x) = 8 + 81x - 3x^3

Q: What values of a and b make ƒ(x) = x3 + ax2 + bx have a. a local maximum at x = -1 and a local…

A: Find first derivative.

Q: Find the value of a necessary for there to be a local minimum at x = 2 for the function f(x) = -ax²…

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Q: 10. If the minimum of the function y =x 2 –4x+21 occurs at x =2, what are the coordinates of the…

A: In the question , it is already given that minimum is occurring at x = 2 So, just put the value x =…

Q: Find the minimum absolute extremum as well as all values of x where it occurs on the specified…

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Q: 7. Determine the location of each extremum of f(x) = -x³ – 9x² – 24x + 5. Give your answers as…

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Q: f(x) = (x - 1)(x – 5)? +1 %3D

A: GIVEN DATA : Function f(x)=x-1x-52+1        TO FIND : Absolute maximum and minimum on the interval…

Q: 3) Find the abolute maximum and absolute minimum valuer of f(x) = x²-6x+5 %3D

A: using double derivative test

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: What is the absolute minimum value of q(x) = 2x -1 over -2, 5?

A: We have to find the absolute minimum value of q(x) = 2x2 - 1 over [-2, 5].

Q: what is the absolute maximum/minimum of: f(x)=xln(x/4) on [0.2,4]

A: Given, function is

Q: What is the absolute maximum and absolute minimum of the function f(x) = x3 – 3x2 – 9x – 6 in [0,5]?

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Q: () Determine the points at which fhas a local maximum/local minimum (if any). 4x – 2 f"(x) = (g)…

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Q: 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: Find the minimum and maximum of x3+3x². on the interval [0, 3].

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Q: What is the local minimum value of the function f(x) = x^3(x + 4)

A: We have the given function as fx=x3x+4 For local maxima/minima, we need to calculate critical point…

Q: Find the absolute maximum of h(x)=x2 −x−2 over [−3,6]. Enter only the y-coordinate of the maximum.

A: Determine the  derivative of the function  and find the critical points.