By using (fixed point itration), Find a solution for f(x) = x3 + x - 1 = 0

Q: Find the critical points and determine whether they are minima, maxima, or neither. f(x) = x 3 - 4x…

A: We have to find the critical points and we have to determine whether they are minima, maxima, or…

Q: The total daily profit (in thousands of pesos) of a certain food company for the sale of x boxes of…

A: Given query is to find the number of box needs to be produced to maximize the profit.

Q: In "Break-Even Analysis", explain what is meant by the BREAK-EVEN POINT and then SHOW THE WORK…

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Q: Find the relative maximum point of the curve: Y=16x+4x2-x4

A: Solution of question as follows

Q: (a): Find the critical points of the function f(x) = 6x? – 12x. -

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Q: Find the linear approximation to f(x)=x2+1x−2 near a=3.

A: Given: f(x) = x2 +1x − 2; a = 3

Q: Find the absolute maximum and absolute minimum values of f(x) = r3 – 9x2 + 24x – 3 on [2,5]. -

A: Given:- f(x) = x3 -9x2 +24x-3  To find:- Absolute maximum and minimum of f(x) in [2, 5]

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

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Q: The total cost of producing a type of car is given by C(x)=23000−30x+0.04x2 , where x is the…

A: Given: The total cost of producing a type of car is given by Cx=23000-30x+0.04x2

Q: solve using simplex method minimize C =6x+16y subject to: x+y=400 x≤150 y≥200

A: Given,   Min C = 6x+16y        x+y=400        x≤150        y≥200        x, y≥0 The problem is…

Q: The function f(x) = 2x3 – 39x? + 240x + 9 has derivative f'(x) = 6x? – 78x + 240. %3D f(x) has one…

A: Given data:   The expression for the given function is f(x)=2x3-39x2+240x+9. The expression for the…

Q: Q1. By using simplex (Tabular) method, maximise f = 10x1 + 9x2 subjected to: 3x1 + 3x2 0

A: Consider the provided question, f=10x1+9x2subject to:3x1+3x2≤214x1+3x2+x4≤24x1,x2,x3,x4≥0

Q: 2. Calculate the point(s) of intersection of f(x) = 2x² + 4x – 11 and g(x) = -3x + 4.

A: Given f(x) = 2x2 + 4x - 11 and g(x) = -3x + 4

Q: What is the relative maximum value of f(x) = x³ – 3x + 2? -

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Q: Use the intermediate value theorem to show that the equation x + 2x + 1 = 0 has a solution in the…

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Q: Find the linear approximation of f(x) = x4 + 3x2 at a = 1.

A: We first find f'(a)=f'(1) f(x)=x4+3x2f'(x)=4x3+6xf'(1)=4(1)3+6(1)f'(1)=4+6=10   We now find f(1).…

Q: Numerically integrate f (x) = x +3x² + 4x – 6 from a = 1 and b = 2 using Single-Trapezoidal Rule.…

A: Integrate fx=x3+3x2+4x-6…

Q: Given f(x)=3x¹-8x' +10, find critical points (b) interval increase and decrease

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Q: Find the Critical points of the ff equation and Determine the Maximum and Minimum. - 1. y= 2x² - 12x…

A: A detailed solution is given below.

Q: find the critical points and determine whether they are minima, maxima, or neither f (x) = x3 − 4x2…

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Q: Find the critical numbers of the function  f(x) = x3 + 6x2  - 15x

A: Solution -  Given function is given as- f(x) = x3+6x2-15x…

Q: Find the critical points of the function f(x)=8x3−x4.

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Q: y = x3 + 1,

A: We have to find

Q: Find the critical points and determine whether they are minima, maxima, or neither: f (x) = x2/3(1 −…

A: Given: fx=x231-x

Q: Find the relative maximum and minimum values. f(xy) = 4x - 2y?

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Q: y = 3 – 2x + x?

A: In this question, we need to find the critical points and test for maxima/minima of y=3-2x+x2.

Q: Kindly show detailed solution. x2 Maximum point of y2 х-2

A: Given a function : y2=x2x-2 We need to find the maximum point. Let's begin.

Q: The profit function of a company is P(x) = x² – 400x + 40000, then the break-even poi is %3D

A: The break-even point point occurs when the total revenue is equal to the cost. At that point, the…

Q: Locate the critical points and determine whether maxima, minima or inflection point. b. у %3D (x —…

A: Here we will find critical points and determine maxima, minima or inflection point,

Q: Plot f (x) = x e - x and use the zoom feature to find two solutions of f (x) = 0.3.

A: Using a graphing calculator we plot f(x)

Q: a firm hasn total weekly revenue in dollars for its product given by R(x)=2800x-8x2-x3, where x is…

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Q: Find the number of units x that produces the minimum average cost per unit  C   in the given…

A: Minimize average cost

Q: The demand function for a product is given by p+ 2x = 100 and the supply function is given by p- 3x…

A:

Q: Find the critical numbers of the function f (x) = 2x3 + x? + 2x

A: Given:            f(x)=2x3+x2+2x

Q: C = 2x2 + 343x + 3,200 X = units

A:

Q: Find the critical numbers of the function.   f(x)  = x3 + 6x2 -15x

A: Critical numbers of a function are the values of x for which its first derivative is zero or…

Q: Solve the problem graphically and calculate the Z value of at the optimal solution (

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Q: Find the critical points of the function f(x)=x2−4x+3x−2.

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Q: The absolute maximum value of the function y = 4x5 - 10x2 – 8 on the interval [-2, 2] is

A: Given: y = 4x5 - 10x2 – 8                                                     intervals [-2, 2]  to…

Q: Suppose a baby food company has determined that its total revenue R for its food is given by R = - x…

A: R=-x3+45x2+525x To find: Production level that will yield maximum revenue.

Q: Show detailed solution. x² +x-12 Minimum point of y = x² -4

A: Given: y=x2+x-12x2-4

Q: Find the maximum and minimum points of f(x) = x(12 – x)?

A: topic - application of derivatives

Q: Find the attractive fixed point of g(x) = 4x - x2 4 | 2

A: Fixed point: The point of intersection of y=f(x) and line y=x are known as fixed points: Example:…

Q: Determine all local optimum points and all inflection points of f(x) = 15x* + 8x³ – 18x² + 1.

A: f(x)=15x4+8x3-18x2+1 First we need to find stationary points. At stationary point, df(x)dx=0.…

Q: y = x* – 4x +1

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.