3x2 If (x) = x² + 1

Q: Does ƒ(x) = (7 + x)(11 - 3x) 1>3 have an absolute minimum value or an absolute maximum?

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

Q: Find two positive numbers such that the sum of the first number and four times the second number is…

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Q: 1) Of all numbers whose difference is 2, find the two numbers that have the minimum product. [HINT:…

A: Since solve the first question for you. If youwant any specific question to be solved then please…

Q: Of all numbers whose sum is 50, find the two that have the maximum product. That is, maximize Q =…

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Q: What is the absolute minimum value of q(x)=2x2−1 over [−2,5]?

A: Take the derivative of the given function and equate to zero and solve for x.

Q: Find two real numbers whose difference is 40 and whose product is a minimum.

A: Let the two real numbers be x & y. Since the difference is 40, therefore x-y=40⇒y=x-40   →1 Now…

Q: f (x)= xª + 4x³ – 4x 3 1

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Q: Find two positive numbers whose sum is 100 and the sum of whosesquares is a minimum.

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Q: Find two positive numbers whose product is 36 and whose sum is a minimum. You must use optimization.

A: Given data is: The product of two positive numbers is 36. To find the two positive numbers whose sum…

Q: Consider a parabolic arch whose shape may be represented by the graph of y = 9 - x2, where the base…

A: Pick a point P at the considered arc,  that is                         p = x , 9-x2…

Q: fdefined on [ 0, c) absolute maximum (х, у) %3D absolute minimum (х, у) 3

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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 maximum area of a rectangle in the first quadrant where one side of the rectangle lies…

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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: Question attached in PICTURE

A: Consider the give statement: "A function of two variables with at least two points of local minimum…

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

A: we have to figure out the minimum value of y=f(x)= 240-x^3 for the values of x  x less than equal to…

Q: an I ask how the maximum and mininmum points were obtained?

A: We need to find max and min points.

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

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Q: Use technology to find a local maximum and2 local minima of the graph of the functiony = x4 - 4x3 +…

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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: If the complete graph of the function is shown, estimate the absolute maximum x,y and absolute…

A: We will find the absolute maximum and absolute minimum as following.

Q: Hu Tao has 420 feet of fencing material and uses it to start a kernel by building 5 identical…

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

A: We have to find the minimum value of 3x2-4x+1 and for what value of x does it occur.

Q: Find the coordinates of the maximum point. 4 In x +4 y=

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

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Q: 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…

A: Note: We'll answer the first question since the exact one wasn't specified. Please submit a new…

Q: Solve for the maximum and minimum values for ∫(x^3−2)/3dx. (Upper limit is 1 and lower limit is -2

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

A: Given a function : y2=x2x-2 We need to find the maximum point. Let's begin.

Q: Xingqiu has 420 feet of fencing material and uses it to start a kernel by building 5 identical…

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Q: Find the length and width of a rectangle that has an area of 75 square feet and a minimum perimeter.…

A: We have to find length and width of the rectangle.

Q: Find the maximum area of a rectangle inscribed under f(x)=16-x2 and the x axis

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

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Q: Explain the difference between local minimums/maximums and absolute minimums/maximums.

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Q: A rectangle with horizontal and vertical sides has one vertex at the origin, one on the positive x-…

A: consider an arbitrary point on line  2x+y=100 is   x , 100-2x which is the one of the vertex of the…

Q: what is the minimum value of y=–8+2cos4x?

A: Given, y = –8 + 2cos4x  We have to find the minimum value of  y = –8 + 2cos4x   When we have the…

Q: Find the absolute maximum / minimum

A: Given,            f(x)=x(6-x) over the interval 1, 5

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: Use the extreme value theorom (if applicable) to determine the absolute maximumt minimum value of…

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

A: Given: y = 4x5 - 10x2 – 8                                                     intervals [-2, 2]  to…

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

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Q: What is the maximum area he can enclose?

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Q: maximum

A: if you specifically asking to how to find maximum and minimum value. Please refer to the image below…

Q: On the domain (0, o), find the minimum value of f(x) = D %3D

A: Given function

Q: Find the minimum value of the expression given below on the horizontal span of 0 to 6.  2x − x2 + 2

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Q: Determine where y = x4 - 8x2 has a local maximum or a local minimum.

A: we havefx=x4−8x2