Find the maximum of f (x, y) = 5y² + 5xy – 5x² on the square domain 0 < x < 6, 0 < y < 6. (Give an exact answer. Use symbolic notation and fractions where needed.) 180 fmax Incorrect

Q: Find the maximum and minimum values of the function f(x, y) = 3y² + 2x² – 6y %3D in the region where…

A:

Q: D={(1,y) | + 등아 < 6}. 25

A: Use lagarange multipliers

Q: Find two positive numbers x and y such that x+y=60 and xy^3 is maximum.

A:

Q: Find the local minimum value of f(x,y) 4x2 + 3y2+ 2x + 2y + 4. Give your answer correct to two…

A: The given function is f(x,y)=4x2+3y2+2x+2y+4

Q: The absolute minimum of f (x, y) = x² +y² – 2y on the semicircle region D= {(r,y) | y> 0, x² + y? <…

A: Given function is fx,y=x2+y2−2y and D=x,y|y≥0,x2+y2≤4. We have to find the absolute minimum of fx,y…

Q: Find the absolute minimum for the function f(x,y) = 7 +7x² +7y² bounded between x = 3, x = 9, y = 4…

A:

Q: Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of f(x,y) =…

A: The function fx,y=11-3x-y Then the taylor's formula for fx,y is, fxx,y=31-3x-y2fyx,y=11-3x-y2 Then…

Q: Numerically integrate f(x) = x2 from a=0 to b= 2 using a multiple segment (n-2) trapezoidal %3D…

A: Trapezoidal rule  ∫abf(x)dx≈Δx2​(f(x0​)+2f(x1​)+2f(x2)+2f(x3​)+⋯+2f(xn-1​)+f(xn​))whereΔx=b-an

Q: find where itin creasing awd deveas ihng also fî hl the alobal maximum and minimam. himan f…

A: Topic- application of derivatives

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: c) Find the second degree polynomial approximation to f at (a, b) = (1, – 2) T2(x, y)

A: Given :- The second degree polynomial approximation to f at a,b = 1,-2 f x,y = -x2y2x2 +y2

Q: Find the maximum value of f(x, y) = 3ry(9 – 45x – 9y) over the triangle with vertices (0,0), (,0)…

A: Maximum value occurs at critical points or on the boundaries of the triangle.

Q: Find the absolute maximum and minimum of the function on the given domain. f(x,y) = 5x + 8y on the…

A:

Q: Suppose that f(z, y) = z² - zy + y? – 5z + 5y with z? + y? < 25. 25 1. Absolute minimum of f(x, y)…

A: We have to solve the maxima minima problem.

Q: Find the minimum value of f(t) = 5t-30t+40, tz0, and give the value of t where this minimum occurs.…

A: For finding minimum value of the function take the derivative and equate to zero.

Q: For the function f(x,y) := 8x² + 3y² – 48x – 18y+24, find the absolute maximum and absolute minimum…

A: • First we have to find the critical points of f(x,y) then check the function value at the critical…

Q: Find 3 numbers x, y, and z such that their sum is 32 and P=xy^2z is a maximum.

A:

Q: The function f(x, y) = x3 + 3xy2-3x2 – 3y2 + 4 has a local maximum at (A) (0, 0) (B) (2, 0) (C) (1,…

A: Option (A) is correct.

Q: Find the local minimum value of f(r, y) = 4 + x7 + y7 – 7ry.

A: We have to find the local minimum of the function f(x,y).

Q: Find the maximum value of f(x, y) = 11zy(9 – 99x – 9y) over the triangle with vertices (0, 0). (†,0)…

A: Given: The triangle vertices are (0,0),(111,0) and (0,1) f(x,y)=11xy(9-99x-9y)…

Q: Find the absolute maxima and minima of the function on the given domain. f(x, y) = 9x + 8y on the…

A: Option (C) is correct.

Q: Find a, b, c, and d such that the cubic function f(x) = ax + bx2 + cx + d satisfies the given…

A:

Q: The function f(x, y) = 2x² + 4y² + 2x³ has a local maximum at the point (0, 0). Select one: O True O…

A:

Q: Find the maximum of the Xyʻz°t* when all the variables X, y, Z and t are all positive and x+y+z+t= 9…

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

Q: Determine the maximum and minimum values of f(x,y,z) = 3x + 6y + 2z, subject to 2x^2 + 4y^2 + z^2 =…

A: Using the lagrange multipliers

Q: Find the maximum and minimum values of f(x, y) = 2x + y - 3xy onthe unit square V = {(x, y) : 0 &lt;…

A: To find the maximum and minimum value of f(x,y)

Q: Find the maximum value of the function f(x, y, z) = 2V79x + 2y - 2z+3 subject to constrain x2 + y? +…

A:

Q: Find the maximum value of f(x, y, z) = y - z Subject to x + y + z = 1,x² + y² = 1 O - √5 + 1 O-√5-1…

A:

Q: Find a, b, c, and d such that the cubic function f(x) = ax³ + bx² + cx + d satisfies the given…

A:

Q: q Find a positive numbers x and y such that x²+y= 48 and their product P(xjy) = xy is maximized. %3D

A:

Q: Suppose f(x, y) = x² + y² – 6x and Dis the closed triangular region with vertices (6, 0), (0, 6),…

A: Given,                             f(x, y)=x2+y2-6x                                  (1)and D is…

Q: Find the maximum value of f(x, y) = x°y² for x, y > 0 on the unit circle x2 + y? = 1. %3D fmax

A:

Q: 8. Evaluate F. dr using Stoke's theorem when F = (2xy — x²)ī — x² − y² )ī and C is the boundary of…

A:

Q: Find the local minimum value of f(r, y) = 4+ a7 + y7 - 7ry.

A:

Q: The function f(x, y) = -2x² + 4y² - 12 has a local maximum at the point (0,0). Select one: O True…

A:

Q: Find the maximum value of f on the region shown, subject to the constraint g (x, y) = c . At what…

A: a. The maximum value of f is 4. The point at which the maximum occurs is (0, 4).

Q: the absolute maximum and minimum values of f(x,y)= x²-2xy+2y on the rectangle defined I in the…

A:

Q: Find the two positive x and y such that x+y=60 and xy2 is maximum

A: We have to find x and y in the given question.

Q: Q5) Find the absolute maximum and minimum values of D(x,y) = x² - xy + y² + 1 On the closed…

A: Given: D(x,y)=x2-xy+y2+1

Q: 2 f(x, y) = x² + 3xy

A:

Q: R Be denned by J (, 9, · Explain why we can always find the maximum and minimum of f(x, y, z) in the…

A:

Q: Find the absolute maximum of f(x,y) = 9x²y² + 4y2 + 4x² bounded by y = x, y = 0 anC Answer:

A:

Q: Find the absolute maximum and minimum of f(x, y) = 1x + 5y within the domain 2² + y? < 1². %3D

A:

Q: Find the absolute maximum of f(x,y) = 5x²y² + 4y² + 6x² bounded by y = x, y = 0 and x = 4. %3D…

A: The given function is: f(x,y)=5x2y2+4y2+6x2Bounded Region is:  y=x,  y=0,  x=4

Q: Find the absolute maximum value and absolute minimum value of f(x, y) = x² + 2xy – 4x + 2y? – 8y +…

A: We have to find the absolute maximum and absolute minimum value of the given function.

Q: Find the absolute maximum and minimum values of f(x, y) Зху — Зх — бу + 9 %3D | on the closed…

A:

Q: 2) Find the relative maximum or minimum value of f(x, y) = 3x² + 2xy + 10y² - 54x - 308y

A:

Q: Find the absolute maxima and minima of the function on the given domain. 6) f(x, y) = 6x + 5y on the…

A: f(x,y) = 6x+5yfx(x,y) = 6     fy(x,y) = 5  (Hence No critical points of the function itself)Lets…

Q: Find the maximum value of J (x) f(x) = V1 + x² on the indicated interval. [0,2]

A: