The cost C (in dollars) for a company to recycle x tons of material is  C = 1.75x + 10,900.

Q: A business has a cost of C = 0.9x + 450 for producing x units. The average cost per unit is given by…

A:

Q: How can we find the Absolute Extrema of a Continuous Function ƒ on a FiniteClosed Interval?

A: How can we find the Absolute Extrema of a Continuous Function ƒ on a Finite Closed Interval?

Q: why do you think the limit of a constant is still the constant ?

A: See attached file for a step by step explanation.

Q: (b) Find the absolute minimum value of f correct to four decimal places.

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Q: Find the slope of the tangent line to the graph of f(x) = x³ + x at x = 3 using the limits…

A: Given- fx=x3+x To find- The slope of the tangent line to the above function at x = 3 using the…

Q: The efficiency (in percent) of an internal combustion engine is given in attachment, where v1/v2 is…

A:

Q: A business has a cost of C = 0.9x + 450 for producing x units. The average cost per unit is given by…

A:

Q: what is the largest vertical distance between the graphs of the functions y=x^1/2 and y=x^2 in the…

A: To find the largest vertical distance between the graphs in the interval given

Q: If the total cost function (in dollars) of a company that produces x number of portfolios per week…

A:

Q: A firm has the​ marginal-demand function D′(x)=−1200x25−x2​, where​ D(x) is the number of units…

A: Given that: Marginal-demand function = D'(x) = -1200x25-x2 Initial condition: D(4) = 16000 Find the…

Q: given f(x)=x^2-2x use the limit defintion of derivative if f'(-2)

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Q: Find the instananeous rate of change for f(x)= √ X at x=1 using the limit definition

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Q: A factory selling cell phones has a marginal cost function C(x) = 0.01x – 3x + 229, where x…

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Q: A factory selling cell phones has a marginal cost function C(x) = 0.01² - 3x +229, where a…

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Q: It is defined as the limit of the ratio of the change in a function to the corresponding change in…

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Q: The ABC Company has determined that the cost of producing x widgets per weeks is C = f (x)= 2000 +…

A: C=fx=2000+100x-0.1x2 To find the cost of producing 100 widgets, put x=100 in cost function. That is,…

Q: A note card company has found that the marginal cost per card of producing x note cards is given by…

A: Answer

Q: Sketch the graph of a differentiable function y = ƒ(x) that has local maxima at (1, 1) and (3, 3);

A: given that a differentiable function y=f(x) and has s local maxima at (1,1) and (3,3) local maxima…

Q: If the function tends to infinity at the endpoints of the interval, then the function must take on a…

A: A continuous function defined on open interval with range equal to a closed interval. Consider a…

Q: A company has a weekly marginal profit function given by P(x) = 31a – 0.38x2 - 261 dollars per item…

A: The marginal Profit function is given as follows. Px=31x-0.38x2-261 Marginal…

Q: What is the difference between a relative maximum and an absolute maximum on an interval I?

A: Suppose a function given by y=fx is defined in the interval (a,b). In order to find the maximum or…

Q: Find two paths of approach from which one can conclude that the function has no limit as (x, y)…

A: To find two path of approach for the given function such that we conclude that no limit exist when…

Q: The sales of a book publicagion are expected to grow according to the function…

A: Given: The sales of a book publication are expected to grow according to the function…

Q: A certain family in Sitio Calculus opened a t-shirt business last year. The family started with 50…

A: Given: fx=x2-2x+3 Since, the marginal cost function is the derivative of the total cost function,…

Q: How do you evaluate the limit as t approaches 0 (1/t*the square root of 1 + t  - 1/t) with the…

A: Obtain the value of limit as follows.

Q: limit of a function f(x) as x approaches c is always equal to f(x). True or false

A:

Q: A product can be produced at a total cost of C'(x) = 500 + 100x2 + x³ dollars, where x is the number…

A: Given that; Cost function and revenue function.

Q: f(x) = x2 + 4

A: Given: fx=xx2+4 To Find: a. Interval for which f(x) is increasing.b. Minimum Valuec. Point of…

Q: The marginal cost of producing the  xthxth  PC is  C′(x)=10+(x^2/60000)  and the fixed cost is…

A: We know the derivative of total cost gives us the marginal cost. The total cost is the sum of fixed…

Q: A business has a cost of C = 0.9x + 500 for producing x units. The average cost per unit is given by…

A: c=0.9x+500

Q: A manufacturer determines that the cost in dollars for making "x" calculoodles is C(x) = 1800 + 25x…

A:

Q: The demand function for a product is modeled by - 13,00(1- p3D 6 + e-0.001x Find the pricep (in…

A: a) The demand function is given as p=130001-66+e-0.001x when x=1000 p=130001-66+e-0.001×1000…

Q: Estimate the absolute maximum value of the function y = x3x-x to two decimal places on the interval…

A: Please see the explanation below

Q: If the function of total cost (in dollars) of a company that produces x amount of suitcases per week…

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Q: Use the limit definition to find the instantaneous rate of change of f(x) = 3x^3 - 4x at x= -3

A: Question is solved.

Q: Find the absolute maximum and minimum value of the function y+2x +x-1, on the closed region bounded…

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Q: Find the limit as x approaches infinity of f(x) when f(x) is x times square root of x

A: x times sqrt(x)= x times x^(1/2)= x^[1+1/2] = x^(3/2)

Q: What is f(x) = x +1/x absolute maximum and absolute minimum at the range [0.2, 4]

A:

Q: Anote card company has found that the marginal cost per card of producing x note cards is given by…

A:

Q: the marginal cost function associated with producing x widgets is given by C'(x)= -0.02x+50 where…

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Q: Find the limit of the function, f, as x approaches – 3. x2 – x – 12 - - f(x) = x + 3

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Q: Find the limit f(X) as x approaches -1 from the left.

A: Graph of f(x) is continuous at x=-1 and f(-1)=2 hence limit f(x) approaches to 2 as x approaches to…

Q: Use the limit definition to find the slope of the tangent line to the graph of f at the given point.…

A: The slope of the tangent to the graph 13−x2 by the limit definition.

Q: supposed that a price-demand funtion P(x)=500-15x calculate marginal revenue function when x=10

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Q: Find two paths of approach from which one can conclude that the function has no limit as (x, y)…

A: The given question is related with limits. Given that fx , y = 3y9x2 + 4y2 . We have to find two…

Q: 311. When you find the maximum for an optimization problem, why do you need to check the sign of the…

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Q: 1. Y = 2 – 7.x fa) — 4 — 5х — 21? 2. 3. Y = 2x³ – 3.x

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Q: A company finds that the rate at which the quantity of a product that consumers demand changes with…

A:

Q: Use the limit definition to find the slope of the tangent line to the graph of f at the given point.…

A: The slope of the tangent line m to the graph of fat the given point x0,fx0 is expressed as-…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.