The rate of U.S. per capita sales of bottled water for the period 2000-2010 can be approximated by s(t) = -0.18t + 3t + 15 gallons per year (0

Q: he marginal cost (rate of change of cost) in euros per unit of production for artilugios in a ertain…

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Q: A tank originally contains 100gal of brine solution containing 20lbs of salt. At t=0, pure water is…

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Q: The revenue (in dollars) from the sale of x car seats for infants is given by the following…

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Q: The heat index (HI) is an estimate of the temperature felt by the human body based on the actual…

A: For 2nd part we need to use total derivative  According to definition: the total differential for  z…

Q: The rate of growth of profit (in millions) from an invention is approximated by P'(x) =xe x, where x…

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Q: Find the average rate of change of f(x) = 9x² expression involving t 4 on the interval 4, t|. Your…

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Q: A manufacture of compressed gasses is looking at new legislation that would require it to reduce the…

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Q: 4. The area of a semicircle is given by A = 0.5r, where r is the radius in inches. The semicircle,…

A: We need to find rate of change.

Q: The heat index (HI) is an estimate of the temperature felt by the human body based on the actual…

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Q: Find the average rate of change of f(x)=5x^2-3 on the interval [2,t]. Answer with an expression…

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Q: The total profit function for a ghost busting business is given by P(z) = -z + 70z – 470 dollars…

A: Given Data: The total profit function is: Px=-x2+70x-470 ......1 The busted ghosts is: x=48

Q: Find the value of c on the interval (a, b ) f(b) – f(a) | such that f'(c) : b — а f(x) = – x² – 16x…

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Q: The revenue (in dollars) from the sale of x car seats for infants is given by the following…

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Q: A factory can produce R rugs a month based on the function R(n) 4n2 – 7n +58, where n is the number…

A: Consider the given function of number of rugs: Rn=4n2-7n+58 Where, nx=15x+20x Rate change in rugs is…

Q: The revenue​ (in dollars) from the sale of x car seats for infants is given by the following…

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Q: The revenue (in dollars) from the sale of x car seats for infants is given by the following…

A: The given function for the revenue from sale of x no. of car seats for infants is R(x)=28x-0.010x2…

Q: From the beginning of the year 2000, the annual world demand for oil has increased. To account for…

A: Topic:- exponential growth function

Q: In the manufacture of printing ink, solvents are used to suspend or dissolve the pigments that give…

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Q: The table to the right shows the volume discounts offered by a company, where x is the volume of a…

A: topic- piecewise function

Q: The rate at which the risk of Down syndrome is changing is approximated by the function r(x) =…

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Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: Given that, After an antibiotic tablet is taken, the concentration of the antibiotic in the…

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

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Q: The total cost of producing x shirts is: C(x) = 6000 + 30x, in dollars. Find the rate at which this…

A: Find the rate at which this average cost is changing when 10 shirts are being produced.

Q: One hour after a dose of x milligrams of a drug Predamestane is administered to a person, change in…

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Q: The instantaneous slope of f(x) when f(x) is rational f(2) = compute the instantaneous slope at: (0,…

A: The given graph is

Q: Find the average rate of change of f(x) = 4x - 6 on the interval 1, b. Your answer will be an…

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Q: World consumption of lead is running at the rate of 4.7e0or million metric tons per year, where t is…

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Q: Find the average rate of change of the function f(x)=-2x^2-1x+6, from x=-2 to x=0. Find the average…

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Q: Water flows from the bottom of a storage tank at a rate of r(t)   =200  -4tliters per minute, where…

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Q: A 2000-liter cistern is empty when waterbegins flowing into it (at t = 0) at a rate (in L/min) given…

A: It is given that   . Suppose a quantity Q changes over time at a known rate Q'. Then the net change…

Q: Water flows from the bottom of a storage tank at a rate of r(t) = 400 - 8t liters per minute, where…

A: Let A(t) be the amount of water flows at time t. Rate of change of water flow,      r(t) =…

Q: Several years ago, ADTF Distributors purchased a brand new cargo plane to increase their coast to…

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Q: The total cost of producing x shirts is: C(x) = 6000 + 30x, %D in dollars. Find the rate at which…

A: Differentiate the cost function to calculate the rate of change of cost.

Q: Solve parts a,b, and c.

A: Here we need to apply some basic concepts of derivatives to find the answers

Q: An analysis of the daily output of a factory assembly line shows that about 50t+t²- 1 tunits are…

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Q: Find the average rate of change of f(x)=3x^2−9 on the interval [1,t].  (answer with an expression…

A: We have to find average rate of change of f(x) on the interval [1,t]

Q: 5. How do the average rates of change for f(x) = – 0.5x and g(x) = - 1.5x² over the interval -5 < x…

A: Given functions are f(x)=-0.5x2 and g(x)=-1.5x2 over the interval [-5,-2] We know that average rate…

Q: Let H(t) be the amount of raw honey at time t. During processing, the amount of raw honey present…

A: Answer is mentioned below

Q: Suppose the rate of sales of a new product is given by f(t) = 200 – 90e-t, %3D where t is the number…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: determine the instantaneous rate of change at x = 2 for f(x) = 5x2 + 3x + 7

A: Topic :- Differentiation

Q: In the manufacture of printing ink, solvents are used to suspend or dissolve the pigments that give…

A: Rt=10t5t2+4

Q: Find the average rate of change of f(x) = 9x2 – 8 on the interval [2, t]. Your answer will be an…

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Q: Find the average rate of change of the function f(x) 2x2 2x- 2, on the interval x E [2,4]. Average…

A: The average rate of change between two input values is the total change of the function values…

Q: The Reed-Frost model for the spread of an epidemic predicts that the number I of newly infected…

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Q: A wound is healing in such a way that t days since Monday, the area of the wound has been decreasing…

A: topic - application of derivatives

Q: Find the average rate of change of f(x) = 7x² – 4 on the interval [3, b]. Your answer will be an…

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Q: The number of bacteria in a culture is given by the function n(t)=950e^0.35t where t is measured…

A: The number of bacteria in a culture is given by n(t) = 950e^{0.45t}e0.45t

Q: Water flows from the bottom of a storage tank at a rate of r(t) = √(400 − 4t) liters per minute,…

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Q: A factory is discharging pollutants at a rate of R(t)=120 gal/day. Using enzymes and other remedies,…

A: Given- A factory is discharging pollutants at a rate of Rt = 120 gal/day. Using enzymes and other…