The effectiveness of a television commercial depends on how many times a viewer watches it. After some experiments, an advertising agency found that if the effectiveness E is measured on a scale of 0 to 10, then E(n) = 2/3n-1/78n^2 where n is the number of times a viewer watches a given commercial. For a commercial to have maximum effectiveness, how many times should a viewer watch it?

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A: Given information: The mean demand per day is 0.074. The number of days is 30.

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Q: Suppose 30 blackberry plants started growing in a yard. Absent constraint, the blackberry plants…

A: We have the following data : Initial number of plants = 30 Spreading rate = 80% a month Carrying…

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A: Just observe that increment of 2% to the original 100% means 102% which is equal to 1.02

Q: The population of a state is known to grow at a rate proportional to the number of people presently…

A: Follow the steps.

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A: We can evaluate the answer as below

Q: what is the growth rate of the cells after 6 hours has gone by

A:

Q: Effective half-life is the time required for a radioactive isotope contained in a body to reduce its…

A: we simply apply effective time formula and find out what we need.

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A: To obtain the required polynomial equation, use the following Newton's divided difference…

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A: .

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Q: Please solve the initial value problem and show your work clearly. Thank you.

A: Introduction: Calculus is a branch of mathematics that focuses on rates of change, differential…

Q: The population of a certain state is known to grow at a rate proportional to the number of people…

A: Given that 10 years the population has trembled and for  20years the population is 150000. p(t)…

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A: Given data: Total cells=250 After one hour=630

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Q: If dairy cows eat hay containing  too much iodine 131, their milk will be unfit to drink. Iodine 131…

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A: Introduction: Differential Equation packages are beneficial in each educational and realistic…

Q: A cigar manufacturer produces x cases of cigars per day at a daily cost of 50x(x + 200)>(x + 100)…

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Q: very

A:

Q: At time t years an industry consumes fuel at the rate of /(2t + 9) million barrels per year. If the…

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A: We have to find the differential equation for the population growth.

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A: we have to determine time before the region is again habitable

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A: We will find out the required initial population of the state .

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Q: A group of scientists studied the effect of a chemical on various strains of bacteria. Strain A…

A: Linear equations

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A: Solution

Q: The half-life of Radium-226 is 1590 years. If a sample contains 400 mg, how many mg will remain…

A: Given: Half life of Radim -225 =1590 a sample of 400mg how much of radium is left after 3000y

Q: Suppose an unknown radioactive substance produces 800 counts per minute on a Geiger counter at a…

A:

Q: With a half life of 36 hours. Suppose a patient receives a  medication of 90 milligrams at midnight.…

A: A=A0e-ktAt t=36,A=A02A02=A0e-36kk=ln236A=A0e-ln236tA0=90At noon on first day…

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A:

Q: The length of a rectangle is decreasing at the rate of 1 feet per second, but the area remains…

A: Let x and y ( in feet ) be the length and width of rectangle and A ( in ft2) be the area of…

Q: data point at x1= 1, x2=4, x3=6 and x4=5 were used to estimate ln 2 with a third-order newtons…

A: As we can see given points are not equidistant so for finding ln 2 we will use Newton's divided…

Q: A culture of bacteria initially contains 1200 strands. If the rate of increase in the population of…

A: Equation that formulates the growth is as follows. Pt=P0ektPt is the population after t minutesP0 is…

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A:

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A: Integration gives the function whose derivative is given. Integration means adding all slices to…

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A:

Q: how to use the apr approximation formula

A: For finding approximatel formula

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A: Let say population is P. So population at time 't' is given by P(t). Assume initial population is P0…

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A: Solve the given problem

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.