Find the maximum value of 5x2 - 4xy+ 8y subject to x+y? = 1..

Q: 3. Find two positive numbers whose product is 100 and whose sum is a minimum.

A: Let the numbers be x,y According to question = x*y =100                     y = 100/x  Sum of…

Q: Find the relative maximum point of the curve: Y=16x+4x2-x4

A: Solution of question as follows

Q: Find the maximum value of x2+20 divied by x+1 on the horizontal span of 0 to 10.

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Q: Two nonnegative numbers whose product is 25a² (where a 0) and whose sum is a minimum, are

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Q: What is the minimum point of the curve y = x2 – 6x + 4  Please make the solution comprehensible.

A: This question is based on application of derivative.

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: Find two positive numbers whose sum is 15 so that the sum of their square is minimum,

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Q: Calculuate the length of the curvey = 4√2 3 3|2 within the interval of 0≤x≤ 1,

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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: Provide two positive numbers with a product of 169 and a sum which is a minimum.

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Q: Find the maximum of the quantity xy² where x and y are nonnegative integers and x + y = 9.

A: Since x+y=9, then x=9-y. Assume that, N=xy2=9-yy2=9y2-y3 To find the critical points, set dNdy=0.…

Q: 1. Find two positive numbers whose product is 100 and whose sum is a minimum.

A: Let the numbers are x and y.   It is known that to minimize a function we have to equate the first…

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

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Q: 6. Find the maximum area of a rectangle in the first quadrant where one side of the rectangle lies…

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Q: Find the maximum value attained by the function x² + xy + y² on the set {(x, y) : x² + y² < 2}.

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Q: Find the absolute extremd of the on the closed interval. 6x2 g(x) (-2, 1) X - 2 minimum (x, y)…

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

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Q: 4=-Y36x-4)'+2 (4,2). Equation #15 maximum or minimum

A: Given function is,

Q: Find the maximum value of f(x,y) = 14-x² - y² on the line x+2y=5.

A: Given Function f f(x,y)=14-x2-y2 on line x+2y=5We need to find the maximum value For the line…

Q: Find the maximum value of f(x,y) = 25 - x - y on the line x+ 4y = 17. %3D

A: First-order derivative test for Maximum value : - The slope of a function is determined by its first…

Q: Suppose a baby food company has determined that its total revenue R for its food is given by R = ' +…

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Q: x +y + 2z=1 2x-y-z = 0 x +2y-z = 4

A: Follow the steps below.

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: Find the relative maxima or minima. Maximum of ƒ(x, y) = x2 - 5y2, subject to x - y = 12

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

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Q: maximum of the quantity xy2 where x and y are

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

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Q: Find two numbers with difference 130 and whose product is a minimum.

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Q: Find the maximum value of ƒ(x, y) = 49 - x2 - y2 on the line x + 3y = 10.

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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: A sheet of paper for a poster contains 18 cm² of area. Tha margins at the top bottom are 0.75 cm and…

A: Let dimensions of paper piece  are x cm and y cm.

Q: Determine two positive numbers whose product is 4 such that the sum of their squares is minimum.

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Q: Find the maximum value of f(x,y) = 13 – x -y on the line x+ 2y = 5.

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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: 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: 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: Use Lagrange multipliers to find three positive numbers whose sum is 230 and whose product is…

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Q: Suppose that x and y are two positive numbers, and suppose that x + 2y = 30. Find the maximum value…

A: Given data:   The first equation is x+2y=30. The expression for the function is f(x,y)=(x+1)(y+3).…

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: x2 maximum point of y х — 2

A: Given the equation is y2=x2x-2. From this, one can write a function as fx,y=x2x-2-y2.

Q: x and y are both positive numbers such that P=xy3. If the sum of both numbers is 24, determine x and…

A: given data p = xy3x+y =24

Q: 2. Find two numbers whose difference is 100 and whose product is a minimum.

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