The number of bacteria In a refrigerated food product is given by N(T) = 20T² – 96T + 24, 5

Q: Suppose that a political campaign by Loki estimates that the candidate's polling percentage y and…

A: (a) We have y = e0.3x+(5ln x)2 Here we need to find the value of x when y = 2%

Q: A producer of pedal-powered ice cream makers has determined that the revenue from the production and…

A: Given: Rx = 46x- 0.04x2 , 0≤x≤900 To find the interval of increasing and decreasing, we have to find…

Q: The total-revenue and total-cost funtions for producing x clocks are R(x)=500x-0.01x2 and…

A: The total-revenue and total-cost functions for producing x clocks are The profit function is

Q: Minimize f(x) = x² + 54 ; using Interval halving method for 2 ≤ x ≤ 6. E= 10-³

A:

Q: When they invest K dollars, a fishery can produce Q(K) pounds of fish per month, where Q(K) = 104…

A:

Q: Suppose the amount of a certain drug in the bloodstream is modeled by C(t)=8te-0.2t ,then the…

A:

Q: Find the consumer's surplus if the demand for an item is given by D(x) = 72- x, assuming supply and…

A: solve the following

Q: A company has determined that its price-demand function for its sale of its product is given by…

A:

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

A: (b)

Q: Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per…

A:

Q: Between 2005 and 2009, the percentage of people who own a home has changed drastically from state to…

A:

Q: A company finds that the marginal profit, in dollars per foot, from drilling a well that is x feet…

A:

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

A:

Q: Y = 0.75X + 0.0042X2 – 0.000023X3 At what level of X, the output will be maximum?

A:

Q: The profit from producing n quilts per year is given by the function P(n)=−15n^2+270n−840, where P…

A:

Q: A researcher at a textbook manufacturing company finds that the revenue is given byR(x)=5x2−40x.What…

A: Calculation:

Q: The average cost (in dollars) incurred by a media company each week in pressing x compact discs is…

A:

Q: f the total revenue function for a blender is R(x) = 76x – 0.01x² where x is the number of units…

A: Given that

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 cost function for the manufacture of portable MP3 players is given by: C(x) = 25,000 + 20x +…

A: Given cost function is C(x) = 25,000 + 20x + 0.001x2  So the average cost function is…

Q: When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream…

A: The concentration of the drug in the patient's bloodstream after t minutes is given by

Q: Suppose that t hours after the injection of x milligrams of adrenalin the response is R units, and…

A:

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: The total daily profit (in thousands of pesos)of a certain food company for the sale of ... x boxes…

A:

Q: A manufacturer of lighting fixtures has daily production costs of  C = 800 − 30x + 0.75x2,  where C…

A:

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

A:

Q: Find the critical point of the function f(x, y) = – 7 2x + 5x2 - 8y – 5y? |

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Q: Suppose that a person learns y items in x hours, as given by y = 40/x, 0sxs 4. Find the rate of…

A: The given function is y=40x,   0≤x≤4. Obtain the derivative as follows.…

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

A: The given equation is Ct=8e-0.4t-e-0.6t. Equate the derivative of C to zero as follows:…

Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

A:

Q: Find the critical points of the function f(x,y)=x^(4) + y^(4) − 144xy

A:

Q: A producer of pedal-powered ice cream makers has determined that the revenue from the production and…

A:

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

A: Given query is to find the maximum concentration of antibiotics in the blood during the first 12…

Q: Suppose that a political campaign by Loki estimates that the candidate’s polling percentage y and…

A: The candidate’s polling percentage is denoted by 'y'.The amount is denoted by x (in hundred…

Q: 3. When polluted water begins to flow into an unpolluted pond, the concentration of pollutant, C, in…

A: Given that The concentration of pollutant C in the pond at t hours is modelled by

Q: · Suppose that t hours after the injection of x milligrams of adrenalin the response is R units…

A:

Q: Q2 (a) A miniature quadcopter flies in a curve line from one point to another. Suppose that the path…

A:

Q: the income from an oil change service chain can be considered as flowing continuously at an annual…

A: Consider the function ft=10,000e0.02t. Since total income from t = 0 to t = 2 is represented by an…

Q: The amount of insulin in microunits per mL in a diabetic patient is given by the function I(t) = 4.5…

A:

Q: C' (x) = 20 200

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Q: V Solve usıng variaton of parameters or reduction of order (D²+1) y = tan

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Q: The monthly total revenue from a certain product sales of x unit is given as: R(x) =12x – 0.01x²…

A:

Q: The average cost function for the weekly manufacture of retro portable CD players is given by C(x)…

A: Given, function is

Q: A stone is thrown vertically into the air at an initial velocity of 71 ft/s. On a different planet,…

A:

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

A: Let C be the concentration of the antibiotic in μg/mL t hours after the antibiotic is taken. Given…

Q: Aki's Bicycle Designs has determined that when x hundred bicycles are built , the average cost per…

A: Consider the provided cost function.

Q: A manufacturer has determined that the cost in pesos of producing shirts is given by C(x) = 0.5x² –…

A: Given Cost Function C(x)=0.5x2-x+6200Where x represents the number of shirts produced daily.

Q: Find the critical point of the function f(x, y) - 4+ 7x – 5x² + 6y + 7y?

A:

Q: Aki's Bicycle Designs has determined that when x hundred bicycles are​ built, the average cost per…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.