f (x) = x²-4x + 3, determine x such that f (x)> 3. what is the maximum value ?And the minimum value ?

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A: Here we have,  f(x)=(7+x)(11-3x)13 differentiate with respect to x

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Q: What are the coordinates at the minimum point of f(x)= x2-4x+3?

A: f(x)= x2-4x+3 is a parabola with a positive lead coefficient so it will have a minimum at the…

Q: Find the absolute maximum value of g(x) -2x2 + x – 1 over [–3,5].

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Q: 2. Find the local and the absolute maximum and the minimum values Ax) = x4 – 8x3 + 6x² + 40x + 3 %D…

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Q: h(z) = x² - 16z + 60? What is the minimum value of

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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: At which value does the function g(x)= 3x^4 - 4x^3 attain a minimum and what is the minimum value?…

A: Sol:- Suppose that x=c is a critical point of fx then, If f 'x<0 to the left of x=c and f 'x>…

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: Find the absolute maximum and absolute minimum f(x) = x³ – 6x² + 9x + 9, [-1, 8] %3D absolute…

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Q: A box is to be constructed from a sheet of cardboard that is 20 cm by 60 cm by cutting out squares…

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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…

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Q: Find the minimum value of y = 240 - x on the horizontal span from 0 to 5. (Enter the minimum value…

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Q: If 2x +y= 10, find the minimum value of x+ y2

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Q: Find the maximum/minimum value of y = 10-4x - 3x² and where it occurs using completing the square.

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

Q: Consider the function f(x)=x^4−72x^2+9, -5≤x≤13. This function has an absolute minimum value  =?…

A: f(x)=x4−72x2+9f'(x)=4x3-72(2x)+0f'(x)=4x3-144xFor the critical numbers…

Q: Y=24x^3-3x^4 = x^3(24-3x) What are the local and absolute maximum/ minimum and their coordinates

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Q: What is the minimum value of 3x 4x +1 and for what value of x does it occur?

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

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Q: Kindly show detailed solution. x2 Maximum point of y2 х-2

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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: A 17 cm x 11 cm open rectangular box is to be constructed by cutting square corners out of a piece…

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Q: Find the minimum value of the function f(x) = x – 10x. - Nood

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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: What is the minimum of f (x) = (x + 3)2 − 4?

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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: At which value does the function g(x)= 3x^4 - 4x^3 attain a minimum and what is the minimum value?.

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Q: f(x) = }x* – }x³ – x² + 2x – 1 - -

A: We have the given function as fx=14x4-23x3-12x2+2x-1             ⋯⋯1 In order to find…

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

A: using double derivative test

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: F(x)=4+54x-2x^3 , [0,4]  what are the absolute minimum value and absolute maximum values?

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Q: The absolute maximum value of the function y = 4x5 - 10x2 – 8 on the interval [-2, 2] is

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Q: Suppose f(x)=(x−5)(x+4) Solve (x−5)(x+4)=0 for x. What x-value produces a maximum (or minimum)…

A: Given: x-5x+4=0 To Find: Maximum and minimum value of fx. Concept: Suppose that x=c is a critical…

Q: Show detailed solution. x² +x-12 Minimum point of y = x² -4

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Q: Given f(x) =x³ – 81x + 10, use rates of change to verify that there is an optimal value at x = -9.…

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Q: Find the absolute minimum value on​ [0,∞​) for f(x) = 2x2 -12x + 6

A: To find the absolute minimum value of the function on the given interval.

Q: Find all values of x, if any, where the function f(x) = x° – 5x³ – 20x – 2 has local maximum and…

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Q: What is the minimum value of  g(x)=6x4-18x3-48 answer should be to 3 decimal places?

A: Derivative of the above function is,