Find the maximum of f(x, y) = 3y² + 5xy – 3x² on the square domain 0 < x < 6,0 < y < 6. (Give an exact answer. Use symbolic notation and fractions where needed.) fmax

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 a cubic function f(x)  = ax3 + bx2 +cx +d thathas a local maximum value of 3 at x =-2 and a…

A: At x=-2 , y=3  So,  at x=1, y=0

Q: Find the limit infimum and supremum of Xn Yn 2 where (Yn) is bounded. Write the complete Solution.

A:

Q: Find the absolute extrema of the function f(x, y) = x + y + 3.ry on the closed region bounded by the…

A: Absolute Maximum and Absolute Minimum

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

A:

Q: Find the maximum value of x2+20 divied by x+1 on the horizontal span of 0 to 10.

A:

Q: Suppose that f(x, y) = 5x + 2y at which - 4 < x < 4, – 4 < y < 4. %3D Absolute minimum of f(x, y) is…

A:

Q: find the extreme values (absolute and local) of thefunction over its natural domain, and where they…

A: Given that,

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: 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 f(x, y) = 3z +y within the domain z² +y? < 4.

A: Use lagrange multiplier.

Q: Find the absolute maximum and minimum of the function f(x,y) = 7y + 64x – 3 over the closed region…

A:

Q: Find the absolute maximum and minimum of the function f(x,y) = 2y + 36x + 11 over the closed region…

A:

Q: Suppose that f(x, y) = x² + y? at which 0 < x, y and 5x + 6y < 8. 1. Absolute minimum of f(x, y) is…

A: This question is related to linear programming, we will solve it using given information.

Q: Find the absolute maximum of f(x,y) = 7x²y² + 5y² + 9x² bounded by y = x, y = 0 and x = 2.

A:

Q: ind the maximum of all the possible value

A:

Q: Find a cubic tunchion feo=ax34 bx'textd that has a local maximum valve of 3 at X=-2 and a local…

A:

Q: Find the absolute maximum of f(x,y) = 5x2y2 5y2 + 6x2 bounded by y = x, y = 0 and x = 2. Answer:

A:

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

A:

Q: Find the absolute minimum and maximum points of the function g(x,y) = x² – y² + xy – 5x over the…

A:

Q: Find the maximum value of f(x,y,z)=y-z subject to x+y+z=1, x^2+y^2=1.

A: Let us consider the function f(x,y,z)  To determine the maxima subjected to g(x,y,z)=0 Find the…

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 local minimum value of f(x, y) = 4+ xl+yl1 11æy. -

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 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: Find the maximum value that f(x, y, z) = x² + 8y - z² can have on the line of intersection of the…

A: Given function is f(x,y,z)=x2+8y-z2 and the other constraints are g(x,y,z)=2x-yh(x,y,z)=y+3z We…

Q: Find the local minimum value of f(z, y) = 4 + x² + y7 – 7xy.

A: Explanation of the answer is as follows

Q: Find the maximum and minimum values attained by f(x, y, z) = 2xyz on the unit ball x2 + y2 + z2 < 1.…

A: fx,y,z=2xyz on the unit ball x2+y2+z2≤1 gx,y,z=x2+y2+z2-1 ∇f=∂f∂x,∂f∂y,∂f∂z ∇g=2yz,2xz,2yx…

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: 3. If a and b are positive numbers, find the maximum value of f(r) = x°(1 – xº) on [0, 1].

A:

Q: find the maximum value that f(x, y, z) = x^2 + 2y - z^2 can have on the line of intersection of the…

A:

Q: 4. Find the maximum of the function f(x) = 100-(10 – x1)? – (5 – x2)? by Simplex Method. Take…

A: Given function is fx=100-10-x12-5-x22 Let the coordinates be x1,x2 And given initial coordinates are…

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 the absolute maximum and minimum values of the function on the triangular region whose vertices…

A: The given function f(x, y) is a polynomial and therefore, it is continuous and has both maximum and…

Q: Find all points (x,y) where f(x.y) has a possible relative maximum or minimum. f(x.y) = x* - 32xy +…

A: Solution:Given thatfx,y=x4 -32xy+8y2-10we have to find all points x,y where fx,y has a possible…

Q: Find the minimum value ofx +y +z² given x+y+z=3a.

A:

Q: Find absolute maxima and minima of the function f(x, y) = x² + y² on the closed triangular plate…

A:

Q: Find the absolute maximum of f(x,y) = 3x2y2 + 2y2 + 2x2 bounded by y = x, y = 0 and x = 5.

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: Find the absolute maximum and minimum values of f(x, y)= 3+xy-x-2y on the closed triangular region…

A:

Q: Find the absolute maximum and the absolute minimum of f(x,y)= 3xy-3x-6y+1 on the closed triangular…

A: Given:- The function is, f(x,y)=3xy-3x-6y+1on the closed triangular region whose vertices are (0,0),…

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

A:

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

A:

Q: 2 : Use Lagrange multipliers method to show that the maximum value of f(x, y, z) = x²y²z² on the…

A: In lagrange method, the Critical points are the points that cancel the first order partial…

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 maximum value of z=140-x+3y, under the consentrate; x≥0, y ≥0, and  2x+y ≤10, 2x+4y≤28 BE…

A:

Q: Find the absolute maximum of f(x,y) = 3x²y² + 5y2 + 5x² bounded by y = x, y = 0 and x = 1. Answer:

A: Solve the above problem.

Q: Find the point where the maximum value of f(x, y) = xy subject to x + 5y = 74 occurs. (x, y, z) = |

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.