If the demand for q units of a product priced at $p per unit is described by the equation. p= 400 / √2p +2 find the rate of change of p with respect to q. dp/dq=

Q: Suppose that the supply of x units of a product at price p dollars per unit is given by the…

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Q: The monthly output at the Olek Carpet Mill is Q(x) = 15,000 + 2x² units, (40 s xs 60) where x is the…

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Q: If a person's temperature after x hours of strenuous exercise is T(x) = x3(7 x2) + 98.6 degrees…

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Q: Suppose the supply of x units of a product at price p dollars per unit is given by p = 20 + 40…

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Q: The monthly output at the Olek Carpet Mill is Q(x) = 15,000 + 2x2 units,    (40 ≤ x ≤ 60) where x is…

A: Given,          The monthly output at the Olek Carpet Mill is Qx=15,000+2x2 units , (40 ≤ x ≤ 60)…

Q: A balloon is deflating at a constant rate of 12 cm3 per second. When the volume of the balloon is…

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Q: Suppose that the supply of x units of a product at price p dollars per unit is given by the…

A: (a) p=20+30 ln(4x+1)so,dpdx=0+304x+1ddx4x+1dpdx=304x+14dpdx=1204x+1

Q: Choose whether the following statement is true or false. The approximation of an instantaneous rate…

A: The given statement is:  The approximation of an instantaneous rate of change can be obtained by…

Q: If the demand for q units of a product priced at $p per unit is described by the equation 300 2g + 2…

A: Answer and explanation is given below

Q: We are given f(x) = 9x2 and f '(x) = 18x. Find the instantaneous rate of change of f(x) at x = 2.

A: Given function is

Q: Given the two points (2, 3) and (0, 4), find the rate of change. Is this function increasing or…

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Q: The value of a computer t years after purchase is v(t) = 3000 e -0.35t At what rate is the…

A: Please see the answer in step 2

Q: Suppose the supply of x units of a product at a price of p dollars per unit is given by…

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Q: The value of a computer t years after purchase is v(t) = 4000e , At what rate is the computer's…

A: we need to find rate of change with respect to time of v(t)

Q: Suppose that the demand for x units of a product is x = 9,000 – 90p where p dollars is the price per…

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Q: Suppose that the total cost function, in dollars, for the production of x units of a product is…

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Q: If ,f(x) = 19x2 − x3, what is the rate of change of f '(x) at (2, 68)?

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Q: Suppose that the total cost function, in dollars, for the production of x units of a product is…

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Q: Find the rate of change of total profit, in dollars, with respect to time where R(x) = 90x – 0.5æ2…

A: A detailed solution is given below

Q: The gross domestic product (GDP) of a certain country is projected to  be N(t) = t2 + 2t + 50 ( 0 ≤…

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Q: The length of a rectangle is increasing at a rate of 12 in./s, while its width is decreasing at 2…

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Q: If x is measured in months where x=0 represents January of 2000, and F(x) represents the US GDP…

A: given GDP is measured in  millions of dollars  x is measured in months

Q: For a certain manufacturer, the revenue obtained from the sale of q units of a product is given by…

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Q: Suppose that the supply of x units of a product at price p dollars per unit is given by the…

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Q: Show the complete solution. Kindly, include the necessary table of values.   2. The population of…

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Q: Given a function f(x)=e2x−ex+1, what is the correct form of the relative rate of change R?

A: Given: The function is given by f(x)=e2x-ex+1   To determine:  The correct form of the relative rate…

Q: Where k is constant. If the temperature is increasing at 4 kelvins per hour, what is the rate of…

A: We need to find the rate of change of pressure  when temperature is 150K and pressure is 450…

Q: Suppose that the supply of x units of a product at price p dollars per unit is given by the…

A: Given :  p = 20 + 60 ln ( 2x + 4 )  find dp/ dx

Q: Suppose the supply of x units of a product at a price of p dollars per unit is given by…

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Q: e. An airplane flying on a straight flight path will be exactly above a radar tracking station,…

A: Given: Perpendicular distance between station and plane is 5,000 km.   To find rate of distance of…

Q: If the demand for q units of a product priced at $p per unit is described by the equation 200 V29 +…

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Q: If the demand for q units of a product priced at $p per unit is described by the equation 200 P = 29…

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Q: Suppose the constant rate of change y with respect to x is -2.5 and we know that y=-6.75 when x=1.5…

A: Given,The constant rate of change of y with respect to x = -2.5.We know that,Slope = rate of change…

Q: 1. The value of the car, x years after it is purchased, is given by the following equation: 27000…

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Q: Suppose that the monthly cost C, in dollars, of purifying water ata waste treatment plant to only p…

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Q: The DeWitt Company has found that the rate of change of its average cost of producing a product is C…

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Q: Suppose that the weekly sales volume y (in thousands of units sold) depends on the price per unit…

A: The problem is related to finding the derivative of the given function.

Q: The monthly output at the Olek Carpet Mill is Q(x) = 15,000 + 2x2 units,    (40 ≤ x ≤ 60) where x…

A: Given that the monthly output at the Olek Carpet Mill is

Q: The volume of a sphere is decreasing at a constant rate of 1515 cubic meters per minute. At the…

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Q: If f is the (constant) focal length of a convex lens and an object is placed at a distance p from…

A: Given,1f=1p+1qwhere f is focal lenrth and an object is placed at a distance p from the lens and its…

Q: If g(x) = 3x3 + 6x2 + 4. What is the value ofthe instantaneous rate of change of g(x) when x = -1?

A: We have to solve the problem

Q: Suppose that the supply of x units of a product at price p dollars per unit is given by the…

A: Consider the function: Hello. Since you have posted multiple questions. we will solve the first…

Q: a drug concentration curve is given by C(t)= 20te^-0.2t, which C in mg/ml and t in minutes. What is…

A: A drug cocentration curve isC(t)=20te-0.2tTo find the rate of concentration. We have to…

Q: (a) The rate of change of P is proportional to N. When t = 0, N = 250, and when t = 1, N = 400. What…

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Q: If f(x) = x + 2x +4. What can you say about the rate of change of f(x) when x = 07

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Q: It follows from Poiseuille's Law that blood flowing through certain arteries will encounter a…

A: Given  R(x) = 0.25(1 + x)4

Q: It is known that the kinetic energy, KE, of a moving object is directly proportional to its mass, m,…

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Q: if the rate of growth of the population of deer in a forest is modeled by R(t)= 2000e^(0.23t) deer…

A: The rate of growth of the population of deer in a forest is modeled by R(t)= 2000e(0.23t) deer per…

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