Determine the equation of the piecewise function given on the right: Ay 10- -...- r(x) XSA f(x) = s(x) B

Q: Given the Cobb-Douglas function f(x, y) = 30x0.3y0.7, x is the number of units of capital input and…

A: Marginal productivity of capital at x=4500 and y=3000 is:

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A: To find the minimum value of the function f(x,y)=(x-1)2+(y-1)2 subject to constraint x2+y2=8. Let,…

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Q: The graph of the linear function f(x) passes through the point (x, y) = (1, m), where m is the slope…

A: Given:Graph of f(x) passes through the point (x, y) = (1, m), where m is the slope of the line.

Q: Q3/ Optimize the function Z = x + xị ? Subject to: x1 + x2 = 4 x1, x2, 20 Using Lagrange…

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Q: If the critical point of the function f(x.y)-x- y- 2xy +6 is (0.0). test this point whether it is:

A: We use second order partial derivative to know about critical point behaviour

Q: Are the f-llowing functions Continual s OFC メーE X-2 スト=メ 1P 2) FCX)s X- S X +7 at XE-1 X5qXs (xフゴ

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Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Question- Find the point of diminishing returns (x.y) for the function R(x) , where R(x) represents…

Q: Q3. Find the maximum and minimum for the following function using Graphical method: f = 11x, + 5x2…

A: The given LPP is, f=11x1 + 5x2s.t. 3x1 + 2x2≥6     3x1 + 53x2≤15      x1 + 2x2 ≤10           x1…

Q: Q1. Find the maximum and minimum values of f? (Using Graphical Method) f = 10x + 28y Subjected to:…

A: Consider the given function. fx,y=10x+28y And, the subject is defined as, 5x+5y≤1502y-5x≤2y-10≤7…

Q: The quantity of the demand per month of a certain accessory is related to the price (in pesos) per…

A: Introduction: Differentiation has a wide range of applications in many fields of mathematics. One…

Q: Find and classify the critical points of the function f (x, y) = 16x³ – 12x2 + 12xy? + 3y?

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Q: Use a formula to express y as a function of t if y = 6x + 4x and x = t- 1.

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Q: The productivity of a certain country with the utilization of x units of labor and y units of…

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Q: For the below function, find the stationary point(s) and prove if a maximum, minimum, or a saddle…

A: The given function is fx,y=-x2+6xy+y2-10x-5y. Compute the first and second partial derivatives as…

Q: Find the local maxima and local minimum and saddle points of the following function f(x, y) = -8x2…

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Q: Find k such that the line is tangent to the graph of the function.…

A: To Determine: Find k such that the line is tangent to the graph of the function.…

Q: Does the function f(x, y) = + 8y" + 2y² – 5æ have a global maximum and global minimum? If it does,…

A: given function fx,y=x22+8y3+2y2-5x claim- to check whether the function have a global maximum and…

Q: Which type of discontinuity does the function S4- a², In x, x < 1 f(x) = 1<x < e has at x 1?

A: We need to choose correct option.

Q: As machines get older, the cost of maintaining them tends to increase. Suppose for a particular…

A: Answer to the subparts are given ,

Q: The productivity of a certain country with the utilization of x units of labor and y units of…

A: We have to find- fx​(x, y) and fy​(x, y) the marginal productivity of labor and the marginal…

Q: Q2: Find all the local maxima, tocal minima, and saddle points of the function f(x, y) = 12xy – 4x*…

A: using derivative

Q: The Cobb-Douglas production function for an automobile manufacturer is f(x, y) = 100x0.6,0.4, where…

A:

Q: A once-popular children's doll is slowly declining in popularity. The quartic function f(x) = 0.002x…

A: Given that f(x)=0.002x4+0.025x3-0.364x2-7.243x+86.993 where x is the number of years since 1993 we…

Q: A major car company analyzes its revenue, Ríz), and costs Cx), in millions of dollars over a…

A: The revenue function and the cost function is given as:…

Q: Suppose that a Pizza Store revenues about 20, 000x pesos when employing y clerks. Let P be the…

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Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A:

Q: The quantity of the demand per month of a certain accessory is related to the price (in 500 pesos)…

A: Given that: The quantity of the demand per month of a certain accessory is related to the price per…

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Given problem:- Find the point of diminishing returns (x,y) for the function R(x), where R(x)…

Q: Calculate the approximation for the given function and interval.                         M6, f (x) =…

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Q: The function f(x)=(1/(x+1))+4 is decreasing on what interval(s)?

A: Consider the function  fx=1x+1+4

Q: Determine the stationary values of the function z = x3 – 6x² – 8y² and distinguish between them

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Q: As machines get older, the cost of maintaining them tends to increase. Suppose for a particular…

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Q: given the function f(x)=axln(x+b), where function is decreasing at x=1-b?

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Q: Find the optimal values ​​of the function f (x, y) = 4xy + 5. Subject to the restriction x ^ 2 + y ^…

A: Consider the objective function as fx,y=4xy+5 subjected to restriction equation x2+y2=18. Let the…

Q: As machines get older, the cost of maintaining them tends to increase. Suppose for a particular…

A: We get the answer using integrating.

Q: Find and classify the extreme point of the function f(x, y) 3y2x + x³ - 3y3 - 3x? + 2.

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Q: The critical points of the function f(z) = 9x² - 8x + 16 are

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Q: of the function. + 3y + 11

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Q: Q.20 For the function f(x) = x2 ex, the maximum occurs when x is equal to

A: Introduction :

Q: I want solve it in а раper 3- Show that the function y = x³ + 3x + 3 satisfy the y= + xy - 2y = 0

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Q: Q5- Show that are eventually fixed point for the function: '5' 4x 0 <x < く 2 - 4x <xく f(x) = 4х - 2…

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Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Point of diminishing return is the point where d2Rdx2=0

Q: 15 二 9-3y+15 3ut

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Q: Assume that a company gets r tons of steel from one provider, and y tons from another one. Assume…

A: According to the given information, it is required to solve part (1). Consider the given profit…

Q: For the function f(z) = ¹, the point z 1-e Z = 0 is

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Q: A company has 100 units to spend on equipment and labour combined. company spends x units on…

A: The domain of a function is the set of values for which the function is defined. To find the maximum…

Q: On what interval(s) is the function -9x3 g(x) = e both decreasing and concave down?

A: The interval in which the given function g(x) is both increasing and concave down must satisfy the…

Q: Find the critical numbers of the function. s(t) = 3t* + 201 - 182

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Q: Find the maximum or minimum value of the function. f(s) = s2 - 1.2s + 16

A: f(s)=s2-1.2s+16Formula for the equation isf(x)=ax2+bx+cx=-b2aSo, s=-(-1.2)2  =0.6