if the population of the lunar station at clavius is given by P=200 + 30t, where t is time in years since the station was established, then the population is increasing by ____ per year

Q: In a city, a rumour is spreading about the safety of corona vaccination. Suppose  N  number of…

A: It is given that, N number of people living in the city having a population of 1000. ft represents…

Q: The population (p) of a small community on the outskirts of a city grows rapidly over a 20- year…

A: Exponential Model: Steps to construct scatter plot in Excel: Enter the data for t and p in Excel…

Q: The population of a certain city at a certain time t is given by the formula P=100000e01t where t is…

A:

Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

A: Given: P0 = The current mosquito population         = 591Pt  = The mosquito population after t…

Q: A toxin is introduced into a colony of bacteria, and t hours later, the population of the colony id…

A: The given function is: N(t)=(7+3t)e-0.2t To find the time when the population begins to decrease.

Q: A small locality has a population of 52,365 in 2012. If its population increases 3% every 2 years,…

A: Given,  A small locality has a population of 52,365 in 2012 and the population increases by the rate…

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Q: For each year t, the population of a forest of trees is represented by the function…

A:

Q: Suppose that it is estimated that t months after January 30, 2020 (first COVID-19 case in the…

A: Given- Pt=Ae0.03t-Be0.05t, the population of Covid cases for March is 1546 and 78,000 after 4 month.…

Q: Find for the function y = In 20 1+ e

A: The given function is y=lnet21+et2. Chain rule: ddtfgt=f'gtg't Quotient rule:…

Q: Suppose that: The number of unemployed adults in the US decreased by 100, 000 during the month of…

A: Consider the given information: The unemployement of adults in US is decreased as follows:

Q: (b) Suppose $2,300 is borrowed and the interest is compounded continuously. If A(t) is the amount…

A: As per our company guidelines we are supposed to answer ?️only first 3️⃣ sub-parts. Kindly repost…

Q: 9. The population of a certain country is given as P(x) and P(x) is in millions. How many years…

A:

Q: Suppose it is estimated that t months after January 30, 2020 (first COVID-19 case in the…

A: It is estimated that t years after March, the population of COVID patients for the  country will be…

Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

A: To find the population assume that the rate of change of mosquitoes remains constant at 180 per day.

Q: (a) If $1000 is borrowed at 8% interest, find the amountsdue at the end of 3 years if the interest…

A: Part a: The initial amount is $1000. The interest rate is 8%. The number of years is 3. Formula…

Q: 2 The population of a certain country (in millions) at time t (in years) is Pt) - 2.4 where t-0 is…

A: The population is represented using the exponential function Pt=aebt where t is the time. To find…

Q: Question 5 Find the net change in g (t) = t -t2 from -3 to 6. %3| O-18 O -2 O 12 O -42 • Previous Σ

A:

Q: An elevator moves up and down so that its height at time t is given

A: a) The velocity is defined as the rate of change of distance vt=dhtdt  =dt3-9t2dt  =3t2-18t

Q: The price per barrel of crude oil in the period 1980-2013, in constant 2014 dollars, can be…

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Q: esents the population of a certain mosquito colony, where t is measured in days. The current…

A: It is given that P(t) represents the population of a certain mosquito colony and time t is measured…

Q: (2) The annual net profit for a company, from 1995 to 2005, can be approximated by the model an =…

A: NOTE : As per Bartleby guidelines, incase of multiple questions only first one will be answered.…

Q: If the base b of a triangle is increasing at a rate of 3 inches per minute while its height is…

A:

Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

A: The population is increasing per day by a fixed number. So the population follows a linear model of…

Q: The population of a certain country (in millions) at time t (in years) is P(t) - 2.4, where t-0 is…

A: The growth of a population is usually defined using the model, A(t)=A0ekt , where, A0 is the…

Q: - The population, P (in thousands), of a town can be modeled by P= 2t – 5 +6, where t = 0 represents…

A: To find: The two years in which the population of town is 12000. Given: The population is modeled…

Q: Let P(t) = 28000(1.03)' be the population of a town t years after the year 2000. Estimate in which…

A: Solution)  P(t) = 28000(1.03)^t P(t) = 33434 33434  = 28000 (1.03 )^t 33434/28000 = (1.03 )^t We…

Q: The population of a certain city t years after 2000 is given by f(t)=40,000e0.02t.  a) What is the…

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Q: Calculate dIn |2 – 1|/d In a as a function of 2 and w; by differentiating 2(a) – 1 = H²a? to show d…

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Q: In A = In Ao – kt where Ao is the original amount of the substance, A is the amount of the substance…

A: Solved below

Q: How long will it take for the population of the city to triple? * When the population growth of a…

A: topic - exponential function

Q: In a natural habitat, the population of a certain species of snails is given by P= 0.8(Ae* +500),…

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Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

A: Given data, total mosquitos = 554 everyday mosquitos increaments p(0) = 65

Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

A:

Q: A certain population has a yearly growth of 2.3%. If there are initially 3 million people, find a…

A: The exponential growth is defined by the equation, , where r is the growth rate, a is the initial…

Q: Suppose 10,000 bacteria are present initially in the culture and 50,000 presents 2 hours later.…

A: a)We have to find how many bacteria will there be in the future at the end of 5 hours? b). What is…

Q: Questions 28 and 29 pertain to the following situation. On a college campus of 5,000 students, one…

A: 28) Put t=5 in the given expression to find the number of infected students after 5 days. 29)…

Q: where k is a constant > 0.

A: Introduction: In mathematics, differentiation is the process of determining the derivative, or rate…

Q: A young person with no initial capital invests k dollars per year at an annual rate of return r.…

A: A young person with no initial capital invests k dollars per year at an annual rate of return r.…

Q: The population P of a city t years after 2010 is given by P (t) = 52340(1.072)' %3D According to…

A: Here we find the year in which city population is 150000.

Q: What is the initial population? By what percentage does the population grow each year?

A:

Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

A: Given query is to find the population of mosquitos after 13 days.

Q: The rabbit population at the city park increases by 17% per year. If there are intially 224 rabbits…

A: here growth is cumulative so y(t) = 224(1 + 0.17)t y(t) = 224(1.17)t now for after 19 year so t = 19…

Q: At time t years, an industry consumes fuel at the rate of (3t + 27) 1/3 million barrels per year.…

A: Given- An industry consumes fuel at the rate of 3t+2713. To Find- (a) the total amount of fuel the…

Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

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Q: price - demand related through 40p+x=5000  calculate p such that E(p)=1

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Q: Suppose P(t) represents the population of a certain mosquito colony, wheret is measured in days. The…

A: The given initial population is P0=583. Also, given that P'0=163. We need to obtain the size of…

Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

A:

Q: Suppose that it is estimated that t months after January 30, 2020 (first COVID-19 case in the…

A: Use the initial conditions to calculate the values for A and B . Use the values for A and B to…

Q: If the population of a city is P 6000 (1+0.09t+0.006t), where t is in years from 2000, what is the…

A: The population of a city is P=60001+0.09t+0.006t2

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.