A disease has hit a city. The percentage of the population infected t days after the disease arrives is approximated by p(t) = 7te -t/11 for 0sts 44. After how many days is the percentage of infected people a maximum? What is the maximum percent of the population infected? The percentage of infected people reaches a maximum after (Simplify your answer.) | days.

Q: A company's revenue from selling x units of an item is given as R = 1600x - x. If sales are…

A:

Q: A T-shirt manufacturer is planning to expand its workforce. It estimates that the number of T-shirts…

A:

Q: A culture of bacteria is known to grow at a rate proportional to the present amount. After one hour…

A:

Q: maximum revenue for the revenue function  R(x) = 372x − 0.7x2.  (Round your answer to the nearest…

A: Please refer to the image below

Q: From 1975 to 2009, the age-adjusted incidence rate of invasive lung and bronchial cancer among women…

A: Given that the age-adjusted incidence rate of invasive lung and bronchial cancer among women can be…

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

A:

Q: A manufacturer estimates that she can sell a maximum of 105 thousand cell phones in a city. By…

A:

Q: If a baseball is projected upward from ground level with an initial velocity of 128 feet per second,…

A: Given height as a function of time S= -16t2+128t Here, A= -16 B= 128, C=0

Q: Suppose a certain medication is administered to a patient with the percent of concentration of the…

A: Concentration of the drug is given byk(t)=4t3t2+27first we need to find the critical points…

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 bloodstream.

Q: At a certain vineyard it is found that each grape vine produces about 10 lbs of grapes in a season…

A: To find the number of vines that should be planted to maximize grape production.

Q: Suppose a certain drug is administered to a patient, with the percent of a concentration of the drug…

A: Given that percent of a concentration of the drug is kt=5tt2+1 Differentiate kt=5tt2+1 with respect…

Q: A species of rabbits has a growth rate of 0.625 a month. If a population of foxes inhabits the same…

A: Given Growth rate of rabbits = 0.625 a month Foxes kills 10 rabbit per day

Q: A company's revenue from selling z units of an item is given as R = 1700z – 3z?. If sales are…

A:

Q: Find number of units X that produces a maximum revenue R. R=99x^2 - 0.06x^3

A:

Q: The rate of growth of sales (sales per day) for a particular company is predicted to be 25e0.00r,…

A:

Q: The number of welfare cases in a city of population p is expected to be W - 0.009p/3, If the…

A:

Q: Consider the following total revenue function for a hammer. R = 20x – 0.01x² (a) The sale of how…

A: The revenue function of the hammer is R = 20x-0.01x2.

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

A:

Q: An epidemic is spreading at the rate of 18e0.2t new cases per day, where t is the number of days…

A:

Q: A manufacturer estimates that she can sell a maximum of 165 thousand cell phones in a city. By…

A:

Q: Consider the following total revenue function for a hammer. R = 24x – 0.01x2 (a) The sale of how…

A:

Q: A company's revenue from selling x units of an item is given as R = 1700z – z². If sales are…

A: A company's revenue R as a function of sales x is given by, R=1700x-x2 Differentiating with respect…

Q: Solve the non-linear function using NR AND Secant Method. Use 5 decimal values and stop at & ≤…

A:

Q: An electric company uses time-of-day pricing to encourage cus- tomers to use electricity during…

A: A linear equation is a equation with degree equal to one. A degree in a equation is the highest…

Q: Y = 0.75X + 0.0042X2 – 0.00023x3 At what level of X, the output will be maximum?

A: Given: .

Q: A shop sells pies for $5 each. The daily cost function has the form C(x)=x+10+0.01x2, where x is the…

A: Revenue function, R(x) = price x Quantity = 5x Cost function, C(x) = x + 10 + 0.01x2 Profit function…

Q: The revenue (in millions of dollars) from a manufacturing process is projected to follow the model R…

A: Profit=Revenue-Cost

Q: Consider the following total revenue function for a hammer. R = 36x – 0.01x² (a) The sale of how…

A:

Q: The resident population of the United States in 2015 was 320 million people and was growing at a…

A: a. Given model is Pt=3201.007t-2015. Substitute P(t) = 400,…

Q: A manufacturer estimates that she can sell a maximum of 30 thousand cell phones in a city. By…

A:

Q: Over the first two years, at what time t is the amount of honey in the hive the most? What is this…

A: Maxima and minima of a real-valued function is a very important application of differentiation. At…

Q: A local sandwich store has a fixed  weekly cost of 510.00 and variable cost for making a roast beef…

A: Given: A local sandwich store has a fixed weekly cost of $510.00 and variable cost for making a…

Q: At a certain vineyard it is found that each grape vine produces about 10 pounds of grapes in a…

A: Given model of the equation is simplified by expanding the brackets:

Q: 2. After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: Given query is to find the time at which concentration will be maximum.

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

A: Rt=10t5t2+4

Q: #2 Epidemiologists have found a new communicable disease rampant in College Station, Texas. They…

A:

Q: Water is pumped out of a holding tank at a rate of 3-3e-0.5t liters/minute, where t is in minutes…

A:

Q: For some positive constant , a patient's temperature change, T , due to a dose, D , of a drug is…

A: Given: For some positive constant c and D=Drug Dose  T=Patient's temperature change T=C2-D3D2

Q: A manufacturer estimates that she can sell a maximum of 105 thousand cell phones in a city. By…

A: image is attached

Q: The average cost per item for a product is given by: AC(x)= x^3/3-7x^2/2+12x+10 Where x is the…

A:

Q: A manufacturer estimates that she can sell a maximum of 90 thousand cell phones in a city. By…

A:

Q: Consider the following total revenue function for a hammer. R = 28x − 0.01x2 (a) The sale of how…

A: The given revenue function is Rx=28x-0.01x2. (a) It is known that the maximum value occurs at the…

Q: Consider the following total revenue function for a hammer. R = 44x – 0.01x²2 (a) The sale of how…

A: We have given the total revenue function for a hammer.              R = 44x - 0.01x2  We have to…

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

A:

Q: As dry air moves upward, it expands and, in so doing, cools at a rate of about 1°C for each…

A: Answer for the question will Start by writing the expression describing the value of temperature…

Q: Donna has 280 meters of fencing and wishes to enclose a rectangular field. Suppose that a side…

A:

Q: A ball is thrown upward so that its height above the ground after time t is h(t) = 20t-5t, where h…

A: Given is : We have to find time when h(t) or height will be maximum And for height , function is :…

Q: A firm has monthly average costs, in dollars, given by C = 40,000/x + 300 + x where x is the number…

A: Profit, P = (Sale price per unit - average cost per unit) x Number of units = [2,000 - (40,000/x +…