6. Which of these quadratic functions has a maximum value? * y = 3x2 – 3x+5 y= (3-x)2 Option 1 Option 2 y = 3(x- 2)2 + 5 y= -2(4 - x)2 +1 Option 3 Option 4

Q: Find the maximum value of z = xy2 subject to 2x2 + y2 = 294; x ≥ 0, y ≥ 0. z =

A: Given information : z = xy2  subject to  2x2 + y2 = 294;  x≥0;  y≥0.

Q: Find two positive integers whose sum is 16 and the sum of whose squares is minimum

A: Given sum of two numbers are 16. Let first number be x and second number=16-x. Now, sum of squares…

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 minimum value of f (x,y,z) = 2x² + y² + 3z² subject to the constraint 2x - 3y - 4z = 49

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Q: . What is the value of the coefficient c of the equation y = ax³ + bx² + cx + d so that it will have…

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

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Q: You will calculate L5 and U5 for the quadratic function y 2² + z + 14 between z = 0 and z = 2. Enter…

A: To solve the following problem

Q: Suppose that the profit (in hundreds of dollars) of a pharmaceutical company is approximated by P(x,…

A: Given,Px,y=1500+36x-1.5x2+120y-2y2 it is a function in two variable , to find the maximum of px,y.

Q: A rectangular box of height y having a square base with sidelength x is to be made. If the area of…

A:

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/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: Give the domain and range of the quadratic function whose graph is described. Minimum = - 7 at x = 1

A: The solution is attached below in Step 2

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

A: Given function is,

Q: What is the difference between the maximum and minimum of the quantity (x2y2)/25 where x and y are…

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Q: x maximum point of y х — 2 4, - 2/2 0,0 03 - 3 2 4, 2/2

A: To find: The maximum point of y2=x2x-2. Concept used: Consider the point  x=c is a critical point of…

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

A: Follow the steps below.

Q: To prevent pests, an orchard can have no more than 9 times as many apple trees as peach trees. Also,…

A: To find out the number of apple trees and number of peach trees that will maximize the revenue.

Q: Find the minimum value of f (x,y,z) = 2x² + y² + 3z² subject to the constraint 2x - 3y - 4z = 49

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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: A test program for grade 10 can generate quadratic functions in a standard form y = ax + bx + c…

A: Please comment if you need any  clarification. if you find answer useful please put thumbs up. Thank…

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: What are the local max and minimum points of y=x^3-3x+1

A: The given function is: y=x3-3x+1

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

A:

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

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Q: 2. Find two positive numbers whose product is 750 and for which the sum of one and 10 times the…

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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: An open box of maximum volume is to be made from a square piece of material, 24 inches on a side, by…

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Q: The manager of a 100 unit apartment complex is trying to decide what to charge for rent. Experience…

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Q: Multivariable optimization question

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Q: Express y = 3x2 – 8x - 1 in the form y = 3(x – p)² + q, where p and q are constants and hence find…

A: To express in the form y=3(x-p)²+q

Q: 8. Suppose that 2+ V4 - x2 -2 2 If F(0) = 2, find the maximum value of F(x).

A:

Q: Please

A: The given function is

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: 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: 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. The Minimum point of y = 8x+4 (x-2)²

A:

Q: 1. The Maximum point of y= 9-x² x²-4

A: This is a problem related to maxima and minima. Based on the general formula and concept we will…

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

A: Given: y=x2+x-12x2-4

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

A:

Q: To prevent pests, an orchard can have no more than 9 times as many apple trees as peach trees. Also,…

A: To find the number of apple trees and number of peach trees which will maximize the revenue.