Maximize f(x,y)=64-(x-2)2-(y-2)2 subject to the contraint x2+y2=8 when the maximum occurs, what is  a. x? b.y? c.z? what is the maximum value?

Q: Suppose that f(x, y) = x² − xy + y² − 5x + 5y with x² + y² ≤ 25. 1. Absolute minimum of f(x, y) is…

A:

Q: Find the absolute maximum value of the function y=xV3x-x² on the interval [0, 3].

A:

Q: 2. A boat on a lake is 3 miles from the nearest point on a straight shoreline. That point is 5 miles…

A: Consider the given information and the figure:

Q: Find the point on the planez = x + y + 1closest to the point P = (1, 0, 0). Hint: Minimize the…

A: Let Q(x,y,z) be the point closest to the point P. Let D be the distance between these two points.…

Q: Find the point where the maximum value of f(x, y) = xy subject to y = 33 – x² occurs. (x, y, z) =

A: (x,y,z) = (√11,  22,  22√11)  The detailed solution is as follows below:

Q: 3:- Find the maximum value of the function f(x, y) = x²y on the line x + y = 3.

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

Q: True or False: The linear function y = mx + b, where m # 0 has no maximum value on any open…

A: The answer is True.

Q: Find the maximum profit and number of units that must be produced and sold (in that order) in order…

A:

Q: Prove that Pr (|X − a| < τ ) takes its maximum value when a = µ where X ~ N (µ, σ2)

A:

Q: 2. Of all numbers whose sum is 30, find the two that have the maximum product. That is, maximize Q =…

A: To Determine: of all numbers whose sum is 50 ,find the two that have the maximum product .That is…

Q: Maximize Q = xy, where x and y are positive numbers such that x+3y 16. The maximum value of Q is and…

A: Maximize Q=xy, where x and y are positive numbers such that x+3y2=16

Q: Find positive numbers x and y, whose sum is 75, such that xy2 is maximized.

A: Positive numbers x and y,x+y=75xy2 is maximized

Q: Find the maximum and minimum values of the function f(x, y) g(x, y) = x² + xy + y² = 27 ry subject…

A:

Q: 8, find the the function maximum value of +(x, y,Z) 2179`x+ 2y -12+7 subJect to Constrain t+3 +2² =…

A:

Q: Suppose that f(z, y) – e ¯4r² - 4y² - z + 2y Then the maximum is

A: The given function is: f(x,y)=e-4x2-4y2-x+2y Here,…

Q: Consider two nonnegative numbers x and y such that x + y = 9. Find the x- and y-values that maximize…

A:

Q: Find the maximum and minimum values of the functions f(x, y) = 4x + 4y-x -y subject to the condition…

A:

Q: Examine for minimum and maximum values of f(x,y,z)=2xyz-4xz-2yz+x^2+y^2+z^2-2x-4y+4z

A:

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

A:

Q: ind the maximum of all the possible value

A:

Q: Determine the values of constants a, b, c, and d so that ƒ(x) = ax3 + bx2 + cx + d has a local…

A:

Q: Suppose that f(z, y) = e-2-2y –2z+y Then the maximum is

A:

Q: Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a…

A:

Q: Find two positive numbers x and y that maximize Q = x2y if x + y = 2.

A: Given function - Q = x2y               ...........(1)And,x+y = 2y = 2-x…

Q: Find the quadratic function f (x) = ax2 + bx + c that goes through (0, 1) and has a local minimum at…

A: Given: The quadratic function fx=ax2+bx+cpasses through the point 0,1 and has local minimum at 1,-1,…

Q: 1. Of all numbers whose sum is 70, find the two that have the maximum product. That is, maximize Q =…

A: Let such two numbers whose sum is 70 and have the maximum product are x and y. So, we have x+y=70…

Q: Find the maximum value of  f(x,y)=3xy(5−10x−5y) over the triangle with vertices (0,0), (1/2,0) and…

A: Given :            f(x, y)= 3xy(5-10x-5y)            Vertices (0, 0) (1/2, 0) and (0, 1)

Q: 1. Without using Lagrange Multipliers, find three positive numbers whose sum is 100 and whose…

A: let the numbers be "x" and "y" Given the sum of numbers is 100  then  x+y=100                  Then…

Q: . Determine the values of constants a and b so that f(x) = ax² + bx has an absolute maximum at the…

A:

Q: Find constants a and b so that the minimum for the parabola f (x) = x² + ax + b is at the point (4,…

A:

Q: Find the maximum of the function f(x, y) = 4xy – x² + 2y² subject to the constraint a + y = 1. Value…

A:

Q: Maximize F=x+y subject to:  x+2y≤8  x≤6  x, y ≥0 Corner points at ____________________ Maximum…

A: We have to find maximum.

Q: How to Find the quadratic function f(x)= ax2+bx+c that goes through (3,0) and has a local maximum at…

A: NOTE: Refresh your page if you can't see any equations. . the vertex form of the parabola is given…

Q: Find the critical point of the function f(x, y) = V 8x2 + 5y2 . Determine whether it is a minimum,…

A:

Q: A manufacturing company makes door hinges. The cost function for making a hinges per hour is C(x) =…

A: The cost function for making x hinges per hour is C(x)=0.0007x3-0.1796x2+14.663x+160 The critical…

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

A:

Q: Find all points (x,y) where f(x,y) has a possible relative maximum or minimum. f(x,y) = x4 - 4xy +…

A:

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: please provide an explanation and rationale to show) its unique critical point, 2) point is not a…

A:

Q: maximize f(x,y)=xy subject to the contraint 6x+y=18  the last question is what is the maximum valye…

A: max . fx,y=xyS.t 6x+y = 18     6x+y=18⇒ 6x+y-18=0∴ gx,y=6x+y-18=0    Fx,y,L=fx,y-L g x,y⇒…

Q: Find the absolute maximum and minimum of the function f(x,y) = 2x - 8x + y - 8y + 2 on the closed…

A:

Q: f f is a differentiable function with derivaitve f' x^2+2x-3, then f has a realtive minimum

A: We are given the derivative of the function f which is f'(x)=x2+2x-3, and we need to find relative…

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: The function f(x, y) = -2x² + 4y² - 11 has a local minimum at the point (0, 0). Select one: True…

A:

Q: Q2, Maximize the profit P which depends on x-size, y=quality and z= weight of the product Maximize,…

A:

Q: what is the maximum of the function g(x,y) = (x2 + y - 11)2 + (x + y2 - 7)2 over the region 0 ≤ x ≤…

A: The given function gx, y=x2+y-112+x+y2-72 over the region 0≤x≤5 and 0≤y≤5. The required partial…

Q: Let fx) = x + 2x-8. For what value(s) of x does fx) have a local minimum?

A: