Express y = 3x2 – 8x - 1 in the form y = 3(x – p)² + q, where p and q are constants and hence find the %3D minimum value of y

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

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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 the maximum value of xy if it is required that 2x +7y = 35

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Q: Find the relative maximum and minimum values. =x2 + y² - 6x + 12y - 9

A:

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…

A:

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: 5. y2 2x y26-x fx, y) = 4x+ 3y Minimum: Maximum: | | | | |

A: We need to find maximum and minimum values of f(x,y).

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 local minimum value of f(x, y) = 4 + x° + y° – 9xy. ::

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

A:

Q: Find the value of x and y which satisfy 2x + 3y = 8 and whose product is a minimum.

A: To solve the following problem

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

A: We need to find the local minimum value of f(x,y)=4+x7+y7-7xy.  For this we find the partial…

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

A:

Q: Find the relative maxima or minima. Maximum of ƒ(x, y) = 12xy - x2 - 3y2, subject to x + y = 16

A: f(x,y)=12xy-x2-3y2 , subject to x+y=16

Q: Find the maximum and minimum values of f(x, y)=x+3xy2-3x2-3y²+4.

A:

Q: Find the absolute minimum value of the function g(x) = e\/(5x), x > 0.

A: To find the absolute minimum value of the function gx=ex5x, x>0.

Q: Find a slope of the solution of y' = t – y at (3,1).

A: We have been given a linear differential equation dydt=t−y ______(i) (As y′=dydt)We have to find the…

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 relative maximum and minimum values. f(xy) = e 6x2 + 4y2 + 8

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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…

A:

Q: Maximize: z =x+ 10y subject to: 6x+ 5y < 30 10x +ys 30 X20, y 2 0 The maximum value is

A: Constraints: 6x+5y≤3010x+y≤30 Graph each inequality by finding x  and y intercepts 6x+5y=30x…

Q: Find the minimum value(s) of the function f(x) = e* – 2x

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 1. Find the maximum value of f(x, y) = 4xy where x > 0 and y > 0, subject to the constraint 9. = 1.

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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 local minimum value of f(x, y) = 4 + x11 + yll – 11xy.

A:

Q: The minimum value w=_____ occurs when y1=_____ y2=______, and  y3=________

A: To solve the Linear programming problem: minimize: w=14y1+56y2+64y3Such…

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

A:

Q: Find the absolute minimum value of the function g(x) = e*/(5x), x > 0.

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: Given the cost function C(x) = 7x° - 3x + 5x + 8, find the minimum marginal cost. %3D

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

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

A:

Q: Find the values of constants a, b, and c so that the graph of y = (x2 + a)/(bx + c) has a local…

A: given

Q: If f'(x) = x - 2x´ - x + 2, then ƒ has a relative minimum at x= 2

A:

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

A:

Q: Solve the optimization problem. Maximize P = xyz with x +z = 18 and y +z = 18, and x, y, and z 2 0.…

A: NOTE: Refresh your page if you can't see any equations. . the first constraint is  . the second…

Q: Find the value for x for which the graph of y =2e reaches its first minimum value.

A: To find the value for x for which the graph of below equation reaches its first minimum value.…

Q: 3. Find the maximum value of f(x, y)= 2xy subject to constraint 2x+y=12 using Lagrange Multiplier.

A:

Q: 3. Find the maximum/minimum value of y = 2x² + 7x - 10 and where it occurs using partial factoring.

A: Given function is y=2x2+7x-10 we can write it as y=x(2x+7)-10

Q: simplex method

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

Q: Find the relative maximum and minimum values. f(x,y) = x² +y2 +4x- 12y

A:

Q: Find the closest and most distant points to the origin on the curve x^2+xy+y^2=1.   Use lagrange…

A: Given that the curve is x2+xy+y2=1. It is required to find the closest and most distant points to…

Q: Find the minimum value of the function f(x, y) = x²y* subject to the constraint x2 + y2 = 12.

A: Minimum value of the function

Q: Find a cubic function y=ax³ + bx² +cx+d that has a local maximum value of 3 at -2 and a local…

A: According to our guideline the answer to answer only the first question if you want any particular…

Q: Find the relative maximum and minimum values. f(x,y) = x° +y° - 3xy

A:

Q: Find two numbers x and y with x-y = 20 for which the term xy is minimized.

A: In this problem, we have to find the two numbers "x and y"

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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Q: If f'(x) = x³ – 2x² – x + 2, then f has a relative minimum at x

A: f'(x)=x3-2x2-x+2, we have to find relative minimum of f.

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.