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## Related Calculus Q&A

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Q: 1 Given f(x) find the average rate of change of f(x) on the interval [9, 9 + h]. Your answer x + 10…

A: Given: f(x) = 1 / (x + 10) Interval : [ 9 , 9+h ]

Q: A Manufacturer finds that the marginal cost ( In Saudi riyal) associated with the production of x…

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Q: A tank initially contains 100 gal of brine in which 20 lb of salt are dissolved. A brine containing…

A: here v(0)=10 and y(0)=20lb (a) Rin = 3lb/gal*6gal/min=18lb/min rate of the salt entre the tank…

Q: dc =0.8g + 5. If c is in dollars, determine the cost involved to increase production from 70 to 80…

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Q: 115 The demand function for a particular item is D(x) = Find the marginal revenue when x = 5. Round…

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Q: 6. It's Easy as Pie of Chesterfield, Missouri, bakes every kind of pie you can imagine. An…

A: Given is the application based question of integration.

Q: A tank contains 150 liters of fluid in which 10 grams of salt is dissolved. Brine containing 1 gram…

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Q: The weekly demand function, in dollars, for a small package of balloons is given by p = d(x)=e*,…

A: As per given by the question, The weekly demand is given by; p=dxe-0.3x First find the Revenue…

Q: Please help

A: Given P(x). find out R(x). R(x) = x times p(x)

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Q: Find the marginal profit for producing x units. (The profit is measured in dollars.) P = -0.75x2 +…

A: Click to see the answer

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Q: c) A cube has sides of length x cm and volume V cm3 . The volume is increaring at a rate of 1.5…

A: It is application of derivative.

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Q: A tank contains 300 liters of fluid in which 10 grams of salt is dissolved. Brine containing 1 gram…

A: Solution of given question is written in below steps.

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Q: Marginal Revenue for Gaming Mice The quantity of Sensitech laser gaming mice demanded each month is…

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Q: The cost of producing q items is C(q) = 3000 + 12g dollars. (a) What is the marginal cost of…

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Q: Oil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed, and…

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Q: 94 MC- where x is the number of units. Find the total cost of producing units 19. A company's…

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Q: Find the marginal revenue for producing x units. (The revenue is measured in dollars.) R = 30 10x −…

A: Given that, R = 30(10x − x3⁄2)

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Q: A tank contains 210 liters of fluid in which 40 grams of salt is dissolved. Pure water is then…

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Q: Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time…

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Q: 6) Marginal Cost: The cost (in dollars) of producing x units of a product is given by C = 20Vx – 25…

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Q: Find the marginal profit for producing x units. (The profit is measured in dollars.) P = -0.35x2 +…

A: Given profit function is P=-0.35x2+3,000x-1,150,000

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Q: Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time…

A: To find the lower and upper estimates for the total amount of liquid that leaked out

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Q: 50. Marginal Cost The marginal cost of producing the æth box of CDs is 10 +æ + - The total cost to…

A: Solve for c(x)

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Q: Approximate to four decimal places using the linearization L(x) of f(x) = at a = 100 and use a…

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Q: Find the marginal revenue for selling x units. (The revenue is measured in dollars.) R= 5x + 16x dR…

A: Here we differentiate the given function.

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Q: 1 Given f(z) find the average rate of change of f(x) on the interval [9, 9 + h]. Your answer will be…

A: To find the average rate of change of f(x) on [9,9+h].

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Q: Liquid leaked from a damaged tank at a rate of r(t) liters per nour. The rate decreased as time…

A: Click to see the answer

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Q: The cost, in dollars, of producing x yards of a certain fabric is given by C(x) = 84 + 0.16x –…

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Q: Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time…

A: t(hr) r(t)(L/h) 0 9.2 3 8.8 6 8.4 9 8.1 12 7.8 15 7.4

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Q: he cost C (in dollars) of producing x units of a certain commodity is C(x) = 4000 + 10x + 0.05x2.…

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Q: Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time…

A: Click to see the answer

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Q: A tank contains 300 liters of fluid in which 20 grams of salt is dissolved. Brine containing 1 gram…

A: We will formulate a differential equation for amount of salt and then solve it to get Salt amount…

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Q: The demand function for a certain product is given by 1000 p = 500 + q + 1 where p is the price and…

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Q: Consider the revenue function R(x)=x^2 ln (x) a) find where the revenue is zero. b) find the…

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Q: Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time…

A: Time 0 5 10 15 20 25 liters 8.68 8 7.4 6.8 6.3 5.9 class width of given function is 5.…

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Q: 3) The volume of a rectangular box with a square base remains constant at 1000 cm³ as the area of…

A: topic- application of derivatives

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Q: A tank contains 150 liters of fluid in which 20 grams of salt is dissolved. Pure water is then…

A: Click to see the answer

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Q: A drug is injected into the bloodstream of a patient through her right arm. The concentration of the…

A: (a) Given that, the function is Ct=0.14tt2+1. Differentiate the function Ct=0.14tt2+1 as follows,…

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Q: uppose that the total cost (in dollars) for a product is given by C(x) = 1400 + 220 ln(2x + 1) where…

A: This question is related to application of derivatives.

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Q: 3. [3pts] Suppose total cost in dollars from the production of x printers is given by C(x) =…

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Q: Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time…

A: Given that Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased…

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Q: 46. SUPPLY Suppose that the supply of x units of a product at price p dollars per unit is given by…

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Q: The revenue for a manufacturer is R(x) thousand dollars, where x is the number of units of goods…

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Q: Marginal Revenue for Gaming Mice The quantity of Sensitech laser gaming mice demanded each month is…

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Q: The revenue (in thousands of dollars) from producing x units of an item is modeled by R(x) = 14x –…

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Q: The demand function for a certain product is given by 1000 p = 500 + q + 1 where p is the price and…

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Q: e revenue from the sale of a product is, in dollars, R = 1500x + 3000(3x + 3)-1 – 1000 ere x is the…

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Q: Radioactive Carbon-14 The percentage P of radioactive carbon- 14 remaining in a fossil after t years…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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Q: The demand function for a certain product is given by p = 500 + 1000 q + 1 where p is the price and…

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Q: Oil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed, and…

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