. What is the value of the coefficient c of the equation y = ax³ + bx² + cx + d so that it will have a minimum at (-2,–16) and points of inflection at (-1,-5) and (1,11)

Q: Find the minimum value of the function f (x, y) = 16x² + 81y? subject to the constraint xy = 1.

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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 maximum and minumum values of f(x, y, z) = 8x – 16y + 40z subject to the constraint x? +y² + z²…

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Q: 2. Find the critical points and determine whether they are a maximum, minimum or neither. y = a° –…

A: In the question we have to find the critical point also max. and min. points.

Q: What is the maximum point of the curve y = x3 – 12x + 8   What is the inflection point of the curve…

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Q: Determine two positive numbers e and f whose product is 27 and for which the value of 4f +3e is a…

A: Product is 27 and 4f+3e is a minimum.

Q: The relative minimum of y= x² – 4x+4 occurs at A x = -4 B) x = 4 c) x= -2 D None of the given…

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Q: Consider a manufacturing firm that occupies one hectare of land. The firm trans- ports over half of…

A: According to the given information, it is required to draw the firm’s bid rent curve for x=0 to…

Q: I hope to explain the question in steps Find the maximum and minimum values of f(x,y)=…

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

A: Given: Function=f(x,y,z)= 2x2+y2+3z2 Constraint: 2x-3y-4z=49

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

A: First method: Given: hx=x2-16x+60 Add and subtract 64 from h(x) to complete the square. Therefore,…

Q: What is the absolute maximum and the absolute minimum of the function f(x,y,x) = x2 + y2 + z2,…

A: A detailed solution is given below. We can use Lagrange's multiplier to solve the problem.

Q: The time (in hours) that a branch of Amalgamated Entities needs to spend to meet the quota set by…

A: Given  function is Tx,y=x4+16y4-32xy+40 Where 'x' represent amount of money in thousands of dollars…

Q: Find the minimum value of x²+y² + z²,

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Q: Suppose that the labor cost for a building is approximated by C(x,y) = 4x2 + 3y2- 120x - 240y +…

A: We have to find the minimum labor cost.

Q: Find maximum and minumum values of f(x, y, z) = 3x – 6y + 15z subject to the constraint x2 + y? + z2…

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Q: Determine the maximum value of p=r-2y and where it occurs subject to: 5 + 4y 40 3r 120 Be sure to…

A: This is a Linear programming problem. Linear programming is a mathematical technique used to solve…

Q: Find the minimum point for the curve y = x- 4x -1.

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Q: Q6) by using the (graphical method) find the optimum solution of X1, X2 that the minimum Z=10X1+25X2…

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Q: The minimum value of f(x,y) = x^2y + 3y^2 - y subject to the constraint x^2 + y^2 = 10 is.........?

A: We need to find the minimum value of f(x,y) = x2y + 3y2 - y subject to the constraint x2 + y2 = 10.…

Q: Suppose that f(x, y) 3x + 3y* 2xy Then the minimum value of f is

A: We have to solve given problem:

Q: Find the extreme values of the function f(x,y,z) = x4 + y4 + z4, subject to the constraint x2 + y2 +…

A: Given,  f(x,y,z) = x4+ y4 + z4,  Subject to the constraints  g(x,y,z)= x2 + y2 + z2 =1. Now we find…

Q: Addison and Kelsey are running on a path modeled by x² + y²-14x-16y-2870, where the distance is in…

A: Follow the procedure given below.

Q: This extreme value problem has a solution with both a maximum value and a minimum value. f(x, y) =…

A: Given function fx,y is: fx,y=xy Let the other function be gx,y. gx,y:36x2+y2=7 Use the Lagrange…

Q: Find maximum and minumum values of f(x, y, z) = 5x – 10y + 25z subject to the constraint x2 + y? +…

A: we use Lagrange multipliers method

Q: Minimize g=10x+9y Subject to 4x+y≥19   2x+y≥13 x+4y≥24 x≥0 y≥0 What is the minimum value and at…

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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: The relative minimum of y= x² – 4x +4 occurs at (A) x= -4 B None of the given choices c) x = -2 D) x…

A: We have to find out

Q: Find the minimum value of the function f (x, y) = 16x² +81y² subject to the constraint xy = 1.

A:

Q: . Find the minimum value of C = 3x + 5y subject to %3D 4x +3y > 240 4x + y > 120 y > 0

A: 4x+3y≥240 divide both sides by 240 4x240+3y240≥240240 x60+y80≥1 compare this equation with the…

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: Find the minimum value of h(x, y) = (x − 2)2 + 2xy − (y + 4)2 constraint y=x. subject to the

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Q: Determine the extremum points and the values of the maximum and minimum of the function + f(x, y) :…

A: Given:  f(x,y)=xy+yx;   g(x,y)=x2+y2-8=0So,…

Q: x² minimum point of y х + 5х — 4 %D х — 5

A: Given equation is y2=x2+5x-4x-5 taking square root of above equation y=x2+5x-4x-5 Now…

Q: Describe the set of points that satisfy  x2 + y2 + z2 - 2x - 4y + 6z = 2

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Q: The maximum value M and the minimum value m of f(x,y)=x³-2y² subject to the constraint x3+y3=125 are…

A: Apply the Lagrange's multiplier method, ∂f∂x=λ∂g∂x⇒3x2=λ(3x2)⇒3x2(λ-1)=0⇒x=0 ; λ=1Also,…

Q: Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by L(x,y)=…

A: Given :Lx,y=32x2+y2-3x-6y-2xy+101

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

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

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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: Find the maximum of v = xyz subject to the constraint 6x+4y+3z-24=0.

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Q: Suppose the labor cost​ (in dollars) for manufacturing a camera can be approximated by…

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Q: Find the absolute maximum and minimum values of f(x, y) = 2x2 + 3y2- 4x +5 subject to the constraint…

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Q: Find the minimum value of f(x,y)=48x2+30y2 subject to the constraint x2+y23D361

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Minimize f(x,y)=x2-y2 subject to the contraint 3x-7y=-4 when the minimum occurs, what is  a. x?…

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