From the function f(x)= x3 -6x2 +9x -3 Determines monotony, maximum and minimum points, inflection and concavities

Q: 2. As an application of partial derivative of multi-variable functions, provide one page abou…

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Q: Suppose that the selling price p of an item for the quantity x sold is given by the function 1 x +…

A: To find the maximum revenue and items to be sold to obtain maximum revenue.

Q: Suppose the cost and revenue functions of a company are R(x) = 60x and C(x) = 360 + 40x + 0.1 x²…

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Q: f (x)= xª + 4x³ – 4x 3 1

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Q: solve f´(2) if f(x) = x^3 – 6x^2 + 9x + 3 a).  For which x is the function decreasing? Show using…

A: According to the given information,

Q: One of the stationary points of the function y = 4z5 – 6z + z2 - 2 is (-1,1 Is this a maximum or…

A: Given: One of the stationary point of the function y = 4x5 -6x3+x2 -2 is (-1, 1). To find: Is the…

Q: Find the extreme values and determine whether they maximum or minimum  z=x^2+xy+2y^2+3

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Q: Given the piecewise function: 4x + 12 x<-2 - 1<x f(x) = -2x + 6 -2 What is the relative maximum?…

A: We first sketch the function

Q: points f(x) = - (2x^3/3) + x^2/2 + 45x + 1 and determine the nature of the stationary point in each…

A: Introduction: It denotes a change in function from concave down to concave up or vice versa. In…

Q: a. Air is being pumped into a spherical ball in such a way that the volume increases at a rate of 10…

A: Note: We are entitled to solve only one question at a time. Given: Air is being pumped into a…

Q: 2. Find all relative maximum(s), relative minimum(s), point(s) of inflection, and interval on which…

A: A function y  We have to find relative maximum  Relative minimum and inflection points

Q: The demand function for a manufacturer's product is p=f(q) = -0.20q+500, where p is the price (in…

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Q: Suppose that a furniture manufacturer is willing to supply x office desks at a price p = S(x) = x² +…

A: 1st we will find equilibrium point and then  draw the graph of supply and demand function .…

Q: c) What is the actual revenue of the 250 000th CD player sold? (between 250000 and 250001) d) What…

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Q: A simple curve that often makes a good model for the variable cost of a company, as a function of…

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Q: -. Which equation shows the minimum or maximum value of f(x) without changing the form of the…

A: Please refer the attached image for complete solution.

Q: H.w: Solve the following of the first ODES: dy 1- dx 1 y = x |

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: A company uses the function C(x) = 0.02x^2 -3.4x+150 to model the unit cost in dollars for producing…

A: Simply take the derivative of the given model function and equate to zero for the minimum cost.

Q: F(x)= 1/4x4-2/3x3-1/2x2+2x-1 What is the maximum value? What is the minimum value?

A: Here the given function is  F(x)= (1/4)x4-(2/3)x3-(1/2)x2+2x-1 To find maximum and minimum value…

Q: F(x)= 4x6- 7x5 find local minimum

A: When derivative of function changes from decreasing to increasing there is minima and its gives…

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

A: Answer

Q: f(x)=6X2-3x+2 find areas of concavity and convexity? And areas of increasing and decreasing? And the…

A: The given function is, f(x)=6x2-3x+2. Differentiate to obtain f'(x)=12x-3. Equating the first…