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

Q: Find the local minimum and maximum of y= x2/ 3 + x2

A:

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

A: This question is based on application of derivative.

Q: Use Lagrange multipliers to find the minimum value of the function f(x, y) = x2 + y? subject to the…

A: Given f(x,y)=x2+y2 and subject to constraint is xy=2 and we need to find the minimum value of given…

Q: 3. x20 y 7-x Ax, y) = 3x +y Minimum: Maximum:

A:

Q: Find the minimum of Q = x2 + y2 if x + y = 6.

A: To find the minimum of Q=x2+y2,if x+y=6. Solution: given, x+y=6⇒y=6-x   ...(1)⇒Q=x2+y2⇒Q=x2+(6-x)2…

Q: (X- At which value does the function g(x)= 3x^4 - 4x^3 attain a the minimum value? Type answer as…

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

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Q: Find the minimum value of f(x,y)=66x2+9y2 subject to the constraint x2+y2-784

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Q: Find the minimum value of xy, when p²x* + q²y* = r². %3D

A:

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

A:

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: The cost function for the manufacture of x number of goods by a company is C(x) = xvx³ - D x² + F.…

A: The maxima or the minima can be calculated using the derivatives. The second derivative test can be…

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

A: We have to solve given problem:

Q: Use Lagrange multipliers to find the minimum value of f(x,y) x2 – y? subject to the constraint 2y –…

A: According to question, fx, y = x2 -y2,subject to the constraint 2y-x2 = 0,let gx, y = 2y-x2

Q: Find the minimum value of z=3x+9y subject to the constraints x+3y≤10 ; 3x+y≥10; y≤x ; x≥0; y≥0 using…

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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 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: Q4:- Find the minimum value of the function f(x, y) = x + y, subject to the constraints xy = 16 , x…

A: Please see the explanation below

Q: Find the local minimum value of f(æ, y) = 4+17 +y17 – 17ry.

A:

Q: Suppose f'(x) =x4+x3– 6x2. Determine the value of x where f has a relative minimum value.

A: Explanation of the answer is as follows

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 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: Find the minimum of the function f(x, y) = x² + y² – xy subject to the constraint 2æ + 2y = 2. Value…

A: We have to find the minimum of the function fx,y=x2+y2-xy subject to the constraint 2x+2y=2.

Q: For y> 0, find the minimum value of + 10 +5y2 5 y2

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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: Find the maximum and minimum values of the function f(x, y, z) = 3x - y - 3z subject to the…

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Q: Find the minimum value of f(x,y)=48x²+30y2 subject to the constraint x2+y2=361 %3D

A: Given that fx,y=48x2+30y2 Let, gx,y=x2+y2 Then, fx=96xfy=60ygx=2xgy=2y

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

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Q: Find the absolute minimum value of the function f(x, y) x+ 4y2 = 9. 2x + 3y subject to the…

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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: Of all numbers whose difference is 4, fınd the two that have the minimum product. x= y=

A: Given that  Difference of two number is 4 and we need to find the two numbers whose product is…

Q: simplex method

A: We have to solve the given problem by simplex method.

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

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Q: Find the minimum distance from the parabola x-y2=0 to the point (0,3)(0,3).

A: Given data:   The given expression for the parabola is x-y2=0. The given point is (x1, y1)=(0,3).…

Q: Find the minimum of the function f(x, y) = 2x² + 2y² subject to the constraint z + y – 1= 0. Value…

A: Here we have to solve the above problem by using Lagranges's multiplier and then differentiate and…

Q: What is the minimum value of  g(x)=6x4-18x3-48 answer should be to 3 decimal places?

A: Derivative of the above function is,

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?…

A:

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.