If f (x) = 2", which equation represents a function that has been reflected over the x-axis, has a vertical compression of 1/2 and is translated down 2. g (x) = - (;)" + 2 g (x) = – (÷)" – 2

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Q: 3. A manufacturer determines that when x thousand units of a particular commodity are produced, the…

A: Given that: Profit function: P(x)=-400x2+6800x-12000

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Q: Suppose that a company can produce 12,000 units when the number of hours of skilled labor y and…

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Q: Use central difference method to estimate the 1st derivative of the following function at x = 2 and…

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Q: Estimate the instantaneous rate of change of P(x)=5/x+2 at the point x=2

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Q: find the function with the given derivative whosegraph passes through the point P. ƒ'(x) = 2x - 1,…

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Q: Suppose the Marginal product of labor in the economy is given by MPN= .002(16,000-N), while the…

A: a. The market-clearing wage rate equates the demand and supply of labour Solve for w first Therefore…

Q: Suppose that the revenue (in dollars) from the sale of a product is given by R = 30x + 0.9x2 −…

A: To calculate the marginal revenue by differentiating the revenue function.

Q: 2. Suppose that the marginal revenue for a company manufacturing coffee machines is given by…

A: Given expression for marginal revenue of the company is: Q=100-0.5x where, Q is the marginal revenue…

Q: Suppose that the revenue (in dollars) from the sale of a product is given by R = 60x + 0.8x2 -…

A: The revenue (in dollars) from the sale of a product is given by, R=60x+0.8x2-0.003x3, where x is the…

Q: Suppose that the cost of producing x items is C(x) = .005x3 - .5x2 + 28x + 300 dollars, and daily…

A: Cx=0.005x3-0.5x2+28x+300 a). The extra cost of increasing daily production from 50 to 51 items is,…

Q: Suppose that a company can produce 12,000 units when the number of hours of skilled labor y and…

A: Given that a company can produce 12,000 units when the number of hours of skilled labor y and…

Q: Suppose that a population has a rate of growth of 0.1 and a carrying ranacity of 2 million, Şet up…

A: The population dynamics can be modeled through a first-order differential equation. It contains the…

Q: When air expands adiabatically (without gaining or losing heat), its pressure P C where C is a…

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Q: If the instantaneous rate of change of ƒ1x2 with respect to x ispositive when x = 1, is ƒ increasing…

A: As instantaneous rate of change  of f(x) that is f'(x) is positive means the function f(x) is…

Q: Suppose the amount of oil pumped from one ofthe canyon wells in Whittier, California, decreases at…

A: We know that general exponential function is  y=y0e-kt California, decreases at the continuous rate…

Q: 8. Create the equation of any function where the instantaneous rate of change when x = 1 does not…

A: Create the equation of any function where the instantaneous rate of change when x = 1 does not…

Q: Suppose that the total profit in hundreds of dollars from selling x items is given by…

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Q: If the total revenue function for a blender is R(x) = 41x – 0.01x² where x is the number of units…

A: Given that, the revenue R (in dollars) for a blender is given by  R(x) = 41x - 0.01x2 where x is the…

Q: Suppose that the marginal propensity to save is SP = 0.1 - dy (in billions of dollars) 7y + 2 and…

A: Given: The marginal propensity is The consumption is $ 7 billion and the disposable income is $ 0

Q: Suppose that the second derivative of the function y = f(x) is y" = x*(x = 2)°(x + 3). For what…

A: Given: The second derivative of the function y=f(x) is y"=x2(x-2)3(x+3) Definition: The inflection…

Q: What is the concentration of glucose in the bloodstream after 10 min if r =5 g per min, k = 5, and…

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Q: 4. Suppose that the marginal propensity to consume is dc 0.7-ey (in billions of dollars) dy and that…

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Q: Suppose that the first derivative of y = ƒ(x) is y' = 6(x + 1)(x - 2)2. At what points, if any, does…

A: Given the first derivative is: y'=6x+1x-22

Q: Suppose that the first derivative of y = ƒ(x) is y'= 6x(x + 1)(x - 2). At what points, if any, does…

A: The derivative of the function y=f(x) is y'=6xx+1x-2. We have to find at what points, if any, does…

Q: 11. Show that if positive functions f(x) and g(x) grow at the same rate as x→∞, then f = 0(g) and g…

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Q: When air expands adiabatically (without gaining or losingheat), its pressure P and volume V are…

A: Pressure and Volume are related by equation At a instant

Q: Suppose that the marginal revenue for a company manufacturing coffee machines is given by 100–0.5x…

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Q: 3- Suppose a student carrying a flu virus returns to an isolated college campus of 8000 students. If…

A: let the number of students infected is x, therefore, the number of students not infected is 8000-x…

Q: In an effort to make the distribution of income more nearly equal, the government of a country…

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Q: If the total revenue function for a blender is R(x) = 28x – 0.01x² where x is the number of units…

A: To find The average rate of change of revenue R(x) as x increases from 10 to 20 units.

Q: Suppose that the revenue (in dollars) from the sale of a product is given by R = 30x + 0.8x2 −…

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Q: Suppose that the monthly cost, in dollars, of producing x chairs is C(x) = 0.001x° +0.07x + 14x +…

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Q: 9) Suppose that the total cost of manufacturing x units of a certain commodity is C (x) = 2x2 + 6x +…

A: Given function is as below : c(x) = 2x2+6x+12marginal cost c'(x) =ddx2x2+6x+12…

Q: Suppose that the revenue (in dollars) from the sale of a product is given by R = 20x + 0.5x² -…

A: Given: Revenue function from the sale of a product is given by: ⇒R=20x+0.5x2-0.002x3

Q: When air expands adiabatically (without gaining or losingheat), its pressure and volume are related…

A: Given that When air expands adiabatically (without gaining or losing heat), its pressure and volume…

Q: compute the rate of Change of the functioN at x= a. flx)= -2X²-X,Q= -5 instantaneous

A: Given function: fx=-2x2-x

Q: The management of ThermoMaster Company, whose Mexican subsidiary manufactures an indoor-outdoor…

A: A. Profit Function : P(X) = R(x) - C(x) P(x) = -0.04x2 + 800x - 130x + 40000 P(x) = -0.04x2 + 670x +…

Q: Suppose that the daily profit (in dollars) from the production and sale of x units of a product is…

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Q: If the average rate of change of q (x) in the period (5,7) is equal to 8 and y (5)*y (7) = 16 and f…

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Q: Suppose that the marginal revenue for a company manufacturing coffee machines is given by 100−0.5x…

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Q: Find a function with the given derivative whose graph passes through point P f'(x)=1/x+2, x is…

A: The derivative is given as

Q: 2. Find two positive numbers whose product is 750 and for which the sum of one and 10 times the…

A: Product of two numbers:= 750; Sum of one and 10times the other is minimum;

Q: 4. Use the first and second derivative to find the absolute maximum and minimum, if either exists,…

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Q: It is projected that x years from now the population of a certain city will be changing at the rate…

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Q: Suppose that the second derivative of the function y = ƒ(x) is y'' = x2(x - 2)3(x + 3). For what…

A: Given that, y=f(x) Second Derivative is y'' = x2(x - 2)3(x + 3). As we know that, Inflection point…

Q: Suppose there is a population of rabbits that (when left alone) experiences population growth at a…

A: Proportionality is between two variables when when they yield fixed ratio, with certain constant…