Find the coordinates (x, y) of the absolute minimum and absolute maximum points of f(x) =-x³ - 2x2 + 2 on [-3,3]. Show all work. [Analysis is required, 3113

Q: Find the absolute maximum and absolute minimum 3 of f(x) = + x² – 35x over the interval [3, 7]. 3

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Q: Find the values of constants a, b, and c so that the graph ofy = ax3 + bx2 + cx has a local maximum…

A: Given that: y = ax3 + bx2 + cx has a local maximum at x = 3, local minimum at x = -1, and inflection…

Q: Find the absolute maximum and minimum of f (x)=x* – 2x -x - 4x +3 on the closed interval [0, 4]. а.…

A: fx=x4-2x3-x2-4x+3 Differentiating wrt x, we get  f'x=4x3-6x2-2x-4 Putting f'x=0, we get…

Q: Find the absolute minimum value of the function g(x) = (x – 2)3 (x + 2) on the closed interval -2 <…

A: It is given that, g(x)=(x-2)3(x+2) on the close interval -2≤x≤3.we have to find absolute minimum…

Q: Find the absolute maximum and absolute minimum values of f(x) = r3 – 9x2 + 24x – 3 on [2,5]. -

A: Given:- f(x) = x3 -9x2 +24x-3  To find:- Absolute maximum and minimum of f(x) in [2, 5]

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/minimum if any of f (x)=x' +3x² +1 on the interval [-3, 2].

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Q: Find the global maximum and global minimum of f(x)=x22x in the interval [−1,3].

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

Q: f(x) = x2 -x-7 is The relative maximum value of and its relative minimum value is

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Q: Find the absolute maximum/minimum of function f(x) = x3 - 16x + 1 %3D

A: fx=23x3-16x+1 to find the critical points take derivative=0 ddx23x3-16x+1=0 ddx2x33-ddx16x+ddx1=0…

Q: Show that the function f(x,y) = x³ + y³ – 63(x +y) + 12xy is maximum at (–7,–7) and minimum at…

A: Given function: fx,y=x3+y3-63x+y+12xy Formula Used: D-Test: For each point a,b where fxa,b=0 ,…

Q: Q1- Find any local maximum and local minimum values and sketch the curve: x? + 1 f(x) = x2. - 1

A: Given that  f(x)=(x^2+1)/(x^2-1) To find the local maximum and local minimum

Q: 3. Find the absolute maximum and absolute minimum of f(x) = 2x³ - 6x +1 on [0,3].

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Q: Find the absolute maximum value of f(x) = x² – 2x + 12 over the interval [0, 4]

A: Use critical value and end points for absolute maxima and absolute minima.

Q: Find the absolute maximum and the absolute minimum for: a. f(x) = 10x on the interval [-1, 2]. b.…

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Q: For what x does the function f (x) = 1/4 x2 - x + 2, 0 … x … 8, have its maximum value?

A: For a given function f(x) the critical point are the value of x at which the derivative of f(X)…

Q: Find the absolute maximum and minimum of ƒ(x) = 2x - 3x2/3 (a) on the interval [-1, 0.5]; (b) on the…

A: The derivative is defined as the rate of change of one quantity with respect to another. In order to…

Q: Find the maximum and minimum values of the function y 32t-t on the Interval [4, 61. %3D maximum…

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Q: Find the absolute maximum value of y = x³-3x2 + 2 in the interval [-1,3]. (-1,-2) (0,2) O (1,0)…

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Q: Determine the absolute minimum value of the function f(x) = x³ – 6x – 1 where xe [-2,3] %3D

A: Explanation of the answer is as follows

Q: Find the absolute maximum and absolute minimum of f(x) [5, 9]. * + x2 – 63x over the interval 3

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Q: Find the absolute maximum and absolute minimum of the function f(x) r2-6x + 5 over (1, 6].

A: Given function: fx=x2-6x+5 To find: Absolute maxima and absolute minima over 1,6.

Q: Find the absolute maximum and minimum values of f(x) = x – 2x on the closed interval [0, 2]. -

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Q: Find the absolute maximum and absolute minimum of f(x) = +x2 . the interval [4,8]. %3D

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Q: Find the absolute maximum value of f(x) = x² – 2x + 12 over the interval (0, 4]|

A: The absolute vale in the interval [0,4] for f(x) will be either at critical points or at end points.

Q: Find the absolute maximum of f(x) = x3 −6x2 + 12x + 3 on [0,3]

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Q: Find the absolute maximum and absolute minimum of the function f(r) = 4x + 3 over 1, 4.

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Q: Find the absolute maximum and absolute minimum values of the function f(z) = x* – 2x² + 1 on [0, 3].

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Q: function

A: Second Derivative Test for Local Extrema:- The second derivative may be used to determine local…

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: Find the absolute meximum and absolul-e minimum of fcx) = X intereval [4,8] x- 48X Over the

A: From the given function; fx=x33+x2-48x First, we have to find the critical points; As we know that,…

Q: identify the coordnates of any local maximum or minmum values of the function y=(x+3)2/ e2x

A: y=(x+3)2/ e2x Or, y = (x+3)2e-2x We need to find it's derivative and equate the same to zero.

Q: From the function f(x)= x3 -6x2 +9x -3 Determines monotony, maximum and minimum points, inflection…

A: From the function fx=x3-6x2+9x-3,To determine the monotony, maximum and minimum points, inflection…

Q: Find the global and global minimum of the function f(x)=x4−8x2+3 within the interval [−1,2].

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Q: Find the values of constants a, b, and c so that the graph of y = ax3 + bx2 + cx has a local maximum…

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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: Find the global maximum and global minimum of the function f(x)=x2−16x on the interval [−4,−1].

A:

Q: Find the minimum and maximum values of f (x) = x² – 8x + 10 on the interval [0, 7). Sketch the graph…

A: f(x) = x2 -8x+10

Q: Find the absolute maximum value of f(x) = x2 – 2x + 18 over the interval [0, 5]

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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 maximum and minimum points of f(x) = x(12 – x)?

A: topic - application of derivatives

Q: Find the absolute extrema of f(x) = 2x5 on the interval |-5,-3]. %3D fx) = is the absolute maximum.…

A: Given: fx=2x45 And the interval is -5, -3.

Q: Find the absolute maximum and absolute minimum of the function f(x) = 1² - 4x +3 over (1, 4).

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

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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.