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 The maximum value is

Q: Find the minimum distance from the point (5, 0, 0) to the paraboloid z = x2 + y2. (Give your answer…

A: Given:    z = x2 + y2  Point: ( 5, 0, 0 )

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: Where does a local minimum occur?

A: given,      Local minimum .

Q: 1) Of all numbers whose difference is 2, find the two numbers that have the minimum product. [HINT:…

A: Since solve the first question for you. If youwant any specific question to be solved then please…

Q: 5. What is the maximum vertical distance between the line y = x + 2 and the parabola y = x² for – 1…

A: The given equations are, y = x + 2       ....(1)  y = x2            ....(2) To find the maximum…

Q: Find the absolute extrema of the function on the closed interval. 4x Rx) =2+25 [-6, 6] %3D minimum…

A: f(x)=4xx2+25

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 minimum distance from the point (4, 0, 6) to the plane x − y + z = 3.

A: Find the minimum distance from the point (4, 0, 6) to the plane x − y + z = 3.

Q: 2. Of all numbers whose sum is 30, find the two that have the maximum product. That is, maximize Q =…

A: To Determine: of all numbers whose sum is 50 ,find the two that have the maximum product .That is…

Q: What is the maximum vertical distance between the line y = x + 51 and the parabola y= x² over the…

A: Given: The line y=x+51 and the parabola y=x2 To find: Maximum vertical distance between given line…

Q: If f, (a,b) = f, (a,b) = 0, does it follow that f has a local maximum or local minimum at (a,b)?…

A: Given, fx(a,b)=fy(a,b)=0

Q: Find the absolute extrema of the function on the closed interval. y = = 3x2/3 - 2x, [-1, 1] (x, y) =…

A: Solution:-

Q: find the point on the line y=2x+10 that is closest to the orgin, (0,0) What is the minimum distance?

A:

Q: Find the absulote maximum of x40-x20 on the interval [0,1],also find its absolute maximum value

A:

Q: What is the maximum vertical distance between the line y = x + 2 and the parabola y = x2 for −1 ≤ x…

A: Consider the given line

Q: Find the absolute extrema of the function on the closed interval. y = x2 - 8 In x, [1, 4] minimum…

A: given y=x2-8ln x y'=2x-8x=0x2-4=0x=2 x can not be negative

Q: Find the extreme values of the function 2 F(x, y) = 2x + 3y – 4x – 5 on the region 2 * +y" < 16. А.…

A: Given : f(x,y) = 2x² + 3y² - 4x - 5 and the region is x² + y² ≤ 16

Q: Find the absolute extrema of the function on the closed interval. y = 3x2/3 – 2x, (-1, 1] minimum…

A: Given  y=3x23-2x and the interval [-1,1]

Q: What is the minimum value of x^2+100/x on a horizontal span of 1 to 5?

A: The given expression is x2+100x;1,2,3,4,5. Let us use the graph to analyze the above function for…

Q: Calculate the point on the surface z =1 - x2 - y2 that has a maximum value for the sum of its…

A:

Q: Let g(x, y) = 3x²y + y³ - 27y

A:

Q: Find the minimum distance from point (2, 5, -1) and plane 3x + 4y + z = 10.

A: Given query is to find the minimum distance.

Q: Find the minimum distance from the parabola x – y = 0 to the point (0, 3). Minimum distance = %3!

A: At P(x,y), the point of shortest distance the slope of the line from P to (0,3) must be…

Q: Find the minimum distance from the point (−2, −2, 0) to the surface                     z = √(1 − 2x…

A: We have to find the minimum distance from the point (-2,-2,0) to thesurface z=1-2x-2y

Q: 5. What is the maximum vertical distance between the line v1+2 and the parabolh v for

A:

Q: Find the minimum and maximum of the function y = z – 405z on [-4,4] by comparing values at the…

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

Q: Find the absolute minimum and absolute maximum of f(x, y) = 13 – 8x + 10y on the closed triangular…

A:

Q: Find the absolute minimum and absolute maximum of f(x, y) = 13 – 5x + 7y on the closed triangular…

A: Given, f(x,y)=13-5x+7y Also given, (0,0),(0,7),(7,9)

Q: Find the absolute maximum of x40-x20 on the interval [0,1].Find also its absulute maximum value

A:

Q: Find a cubic function whose graph has a relative minimum at (0, 1) and a relative maximum at (3, 5).…

A:

Q: How to Find the quadratic function f(x)= ax2+bx+c that goes through (3,0) and has a local maximum at…

A: NOTE: Refresh your page if you can't see any equations. . the vertex form of the parabola is given…

Q: Find the minimum distance from the cone z = 2x2 + y2 to the point (-6, 4, 0).

A: To find the minimum distance first write distance function. Which is the square distance from  .

Q: Find the points on the graph of the function f(x) = x^2 that are closest to (0, 2) in the xy-plane.…

A: Minimal distance

Q: Determine the constants a, b, c and d so that the curve defined by y = ax³ + bx² + cx + d has a…

A:

Q: Find the absolute minimum and absolute maximum of f(x, y) = 11 – 6x + 9y on the closed triangular…

A: To find the absolute minimum and absolute maximum of the below function on the closed triangular…

Q: Find the minimum distance from the point (2, 1, 9) to the surface x + y + z = 9.

A:

Q: Find the minimum distance from the cone z = √(x2 + y2) to the point (-6, 4, 0).

A: To find the minimum distance

Q: Find the absolute minimum and absolute maximum of Remaining time: f(x, y) = 18 – 8x+9y on the closed…

A: Given f(x,y)=18-8x+9y ∴fx=-8, fy=9 (-8,9) is a critical point Given Region is triangle with vertices…

Q: x and y are both positive numbers such that P=xy3. If the sum of both numbers is 24, determine x and…

A: given data p = xy3x+y =24

Q: Find the point where the minimum value of f(x, y) = xy subject to y = 90 – x occurs.

A: Find the point where the function f(x,y)=xy subject to y=90-x2 attains its minimum value.

Q: Find the absolute maximum and minimum of the function f(x,y) = 2y + 64x – 14 over the closed region…

A: The solution is given in the next steps.

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 maximum value of f(x, y) = 4xy(9 – 72x – 9y) over the triangle with vertices -- - (0,0), (5…

A: Given: fx,y=4xy9-72x-9y vertices 0,0 18,00,1

Q: Find the absolute maximum and minimum values of f on the triangle with vertices (0,0), (3,0), and…

A:

Q: What is the maximum vertical distance between the line y = x + 29 and the parabola y = x² over the…

A:

Q: Let y=X^x, X&gt;0. Find the x where the function has a minimum value What is this minimum value?

A:

Q: What is the maximum vertical distance between the line y = x + 38 and the parabola y = interval [–…

A: Given line equation is y=x+38 Given parabola equation is y=x2 From the above two equations x2-x-38=0…

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 minimum distance from the cone z= to the point (6, 6, 0).

A: