Rx) =-x + 6x + 5 on [5, 8] maximum minimum

Q: The function f..) = x+x +3x- 1+2r,x + 2 defined on R has ohly one stationary point. Show that it is…

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Q: Use the method of Lagrange multipliers to find the minimum distance from the origin (0, 0) to the…

A: We need to use the method of Lagrange's multiplier to determine the minimum distance from the point:…

Q: find the max im um anel minimum Limits of the functibu n Fix.y) = x"+y"-2x²- 4xy- 2y²

A: The given function is F(x,y)=x4+y4-2x2-4xy-2y2    …..(1) Differentiating partially with respect to x…

Q: find the maxim um anel minimum Limits of the functibu :- Fixy) = x"; + y- 2x-4xy-2y?

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

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Q: Two nonnegative numbers whose product is 25a² (where a 0) and whose sum is a minimum, are

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Q: Suppose that f(x, y) = 4x* + 4y* – xy Then the minimum is

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Q: Let f(x, y) = 3x² – x – 3y + 5y2 – 10xy. - - - List the critical point:

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Q: Find global maximum and global minimum of æ3 – 9x? – 48x + 52 on the interval [-5, 12]

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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: 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: Suppose that f(x, y) = 5x + 2y at which -4 < * < 4, – 4< y < 4. Absolute minimum of f(x, y) is -28…

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Q: Find the absolute maximum of f(x,y) = 6x²y² + 4y2 + 4x2 bounded by y = x, y = 0 and x = 2. %3D

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Q: What is the absolute minimum of p(x)=2x2 −x−2 over [−2,6]?

A: Obtain the derivative of the function as follows.

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

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Q: Suppose that f(x, y) = x² + y² at which 0 < x, y and 2x + 9y < 8. 1. Absolute minimum of f(x, y) is…

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

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Q: Two nonnegative numbers whose product is 36a? (where a > 0) and whose sum is a minimum, are

A: Now we will solve the problem.

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: Find the maximum value attained by the function x² + xy + y² on the set {(x, y) : x² + y² < 2}.

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Q: Suppose that f(æ, y) = x² – xy+ y² – 5æ + 5y with æ² + y² < 5?. 1. Absolute minimum of f(x, y) is 2.…

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Q: 1. Of all numbers whose sum is 70, find the two that have the maximum product. That is, maximize Q =…

A: Let such two numbers whose sum is 70 and have the maximum product are x and y. So, we have x+y=70…

Q: Express y = 3x2 – 8x - 1 in the form y = 3(x – p)² + q, where p and q are constants and hence find…

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Q: Let f (x) be the square of the distance from the point (2, 1) to a point (x, 3x + 2) on the line y =…

A: The square of the distance between two points (a, b) and (c, d) = (c - a)2 + (d - b)2

Q: Identify the removable discontinuity. x² – 1 f(x) : X- 1 (х, у) %3D Additional Materials

A: A removable discontinuity is one at which the limit of the function exists but does not equal the…

Q: maximum of the quantity xy2 where x and y are

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Q: Determine the maximum number of turning points of f. 6. f(x) = (x – 2)2(x + 4)2 7. Identify the end…

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

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Q: Suppose that f(1, y) = 2z² + 2y – zy Then the minimum is

A: Given: fx,y=2x4+2y4-xy We need to find the minimum value of the given function.

Q: The absolute minimum of f(x) =x² – 4x On [0,3] is y= %3D 540 .BO -4 .CO -3

A: We use first derivative test to find absolute minimum.

Q: Find the absolute meximum and absolul-e minimum of fcx) = X intereval [4,8] x- 48X Over the

A: From the given function; fx=x33+x2-48x First, we have to find the critical points; As we know that,…

Q: Find the minimum and maximum of 1 on the interval [0, 3].

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Q: What is the maximum vertical distance between the y=x+2 and the parabola y=x^2 for -1 is less than…

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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 families of characteristics of the PDE (1-x²)w„ - u,, = 0 in the elliptic and hyperbolic…

A: Pde

Q: Suppose that f(x, y) = x' + y – 2xy Then the minimum is

A: Solution is given below:

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

A:

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

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

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Q: Where are there local minimum(s)/maximum(s) f(x)=3(2x-1) -4(x+1)?

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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…

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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: What are the absolute maximums and minimums of z(x) over its domain?

A: Given To find what are the absolute maximums and minimums of z(x) over its domain.

Q: Find a cubic function f(x)=ax^3-bx^2+cx-d that has a local maximum value of 112 at 1 and a local…

A: Find a cubic function f(x)=ax^3-bx^2+cx-d that has a local maximum value of 112 at 1 and a local…

Q: Suppose that f(x, y) = x* + y* – 2xy Then the minimum is

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Q: Let x and y be two positive numbers. If ry = 75 , find the minimum value of 3x +4y

A: The question mentions that, xy=75 Thus, y=75x Now, let the given function be, S=3x+4y…