f(x) = -1/9x2 − 2x + 9 What is the maximum value of f What is the axis of symmetry

Q: The path of a diver is modeled by rx) %= 승x2 + 24x+ 11 where f(x) is the height (in feet) and x is…

A: We, know at maximum or minimum of a function f(x), the first derivative, f'(x)=0. At maximum,…

Q: f(x)=3x2+18x-2 What is the value? and does it have a minimum or maximum value?

A: The given function is: f(x)=3x2+18x-2

Q: Q.5 Find the absolute maximum and minimum values of f(x) = x³ – 3x2 – 9x + 25 over the closed…

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Q: The graph of f(x) = 2x° + 15x² – 84x + 18 has two horizontal tangents. What is the negative value of…

A: Here, f(x)=2x3+15x2-84x+18

Q: The total profit P(x) (in thousands of dollars) from a sale of x thousand units of a new product is…

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Q: The total profit P(x) (in thousands of dollars) from a sale of x thousand units of a new product is…

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Q: At what interval is y= 2x3-3x2- 36x + 14 increasing? Decreasing?

A: Question is solved.

Q: The total profit P(x) (in thousands of​ dollars) from the sale of x hundred thousand pillows is…

A: Given the profit function is : P(x)=-x3+12x2+144x-200. For maximum profit P'(x)=0. Because it will…

Q: f the profit function for a product is  P(x) = 6400x + 80x2 − x3 − 220,000  dollars, selling how…

A: The profit function is: P(x)=6400x+80x2−x3−220000

Q: solve using limits f(x) = x^2 + 2x - 3,   at f(x) = -4

A: The given function is f(x)=x2+2x-3 at x = -4

Q: S(r) = -x² + 2r + 15 What is the minimum or maximum of f (x) (put "0" if there is no minimum or…

A: Given function is fx=-x2+2x+15. To find the minimum or maximum of fx. Solution: Given function is…

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

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Q: The maximum number of turning points possible for f(x) = 3x" – 6z² + 5x – 31, is

A:

Q: The revenue function for a oneproduct firm is R(x) = 200 - 1600/(x + 8) - x. Find the value of x…

A: Let a = 1600, so a' = 0 Let b = x + 8, so b' = 1 Let c = a/b, so we use the Quotient Rule: c' = (a'b…

Q: The revenue function is given by R(x) = 38x - 0.01x2. If production is limited to 1500 units. Find…

A: Given revenue function is, Rx=38x-0.01x2 And as production limit is 1500 unit so x≤1500

Q: the daily profit in dollars of a specialty cake shop is descrived by the function P(x)= -5x^2 + 230x…

A: The function P(x)=-5x2+230x-2,040 describes the the daily profit in dollars of a specialty cake…

Q: 3 The profit P (in dollars) for a company that produces antivirus and system utilities software is…

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Q: To produce x units of some product a company spends C(x)=ax2+bx($), where a and b are real numbers.…

A: Sale value, S(x) = Sale price x sale volume = px Profit function = Sale value - cost Hence, P(x) =…

Q: y = -5x^3+ 135x^2-675x + 107, find minimum, maximum,a nd point of inflection

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Q: For what x does the function f (x) = 1/4 x2 - x + 2, 0 … x … 8, have its maximum value?

A: For a given function f(x) the critical point are the value of x at which the derivative of f(X)…

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: Given revenue function

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 24x2/3 – 2x…

A: Given data is: R=24x23-2x To find the number of units x that produces a maximum revenue R.

Q: The company’s revenue is x•(6,228-9x). Find the price x that will maximize the company’s revenue.

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Q: Find the absolute maximum value of y = x³-3x2 + 2 in the interval [-1,3]. (-1,-2) (0,2) O (1,0)…

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Q: The function C(x)=−9x+2401 represents the cost to produce x items. What is the least number of items…

A: Obtain the average cost function for the given cost function as follows. Cx=Cxx=-9x+2401x=-9+2401x

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: Given : A manufacturer finds that the revenue generated by selling x units of a certain commodity is…

Q: P(x)= -x+ 12x-36x+400, x23 is an approximation to the total profit (in thousands of dollars) from…

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Q: The total profit P(x) (in thousands of dollars) from the sale of x hundred thousand pillows is…

A:

Q: Use the function’s equation .f(x) = 2x2 + 12x + 703, and not its graph,to finda. the minimum or…

A: Given function is fx=2x2+12x+703. We know that if fx=ax2+bx+c then maximum or minimum value occurs…

Q: The graph of f(x) = 2a² + 12z² – 72z + 14 has two horizontal tangents. One occurs at a negative…

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Q: The total profit P(x) (in thousands of dollars) from the sale of x hundred thousand pillows is…

A:

Q: 3. The total profit (in thousands of dollars) from the sale ofx hundred thousand automobile tires is…

A: Explanation of the answer is as follows

Q: The daily profit from the sale of a product is given by P = 32x − 0.2x2 − 200 dollars, where x is…

A: Given that: P(x)=32x-0.2x2-200

Q: The daily profit, P of a coffee shop is given by P=12x – 0.02x2 where x is the number of coffees…

A: We have to find the maximum profit from the given function.   According to our guidelines we can…

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: The profit function for a certain commodity is P (x) = 130x-x^2 - 2000. Find a level of production…

A: The profit function for a certain commodity is P (x) = 130x-x^2 - 2000. Find a level of production…

Q: 2. Find the local and the absolute maximum and the minimum values Ax) = x4 – 8x3 + 6x² + 40x + 3 of…

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Q: The revenue for a certain product is given by the equation R(x)=100−400x+5−x, where x is the number…

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Q: The minimum of a quadratic function is -2, the sum of its zeros is 2. Evaluate the function at x =…

A: Let's assume quadratic function is given by fx=ax2+bx+c…

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

A: topic - application of derivatives

Q: The total profit P(x) (in thousands of​ dollars) from the sale of x hundred thousand pillows is…

A:

Q: The profit function for a company that produces shoes is given by y = - 2x ^ 2 + 12x +23, where "y"…

A:

Q: 3. Find the absolute maximum value of f(x) = x³ – 3x² on the interval -15x<3 (A)–4 (B) 0 (C) 1 (D) 2…

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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: The yield in bushels from a grove of orange trees is given by Y = x(400 − x), where x is the number…

A:

Q: x2 + kx + 8 is equal to the maximum Find k so that the minimum value of f (x) value of g(x) =1+4x –…

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Q: A model rocket is launched from a platform and its height is modeled by h(t)=-4x^2+56x+10, where t…

A: Here, we have given h(t)= -4x2+56x+10

Q: The revenue function of a company as a function of units sold x is R(x)=2x−0.005x2. How many units…

A: Given revenue function: