Q7 The population of bees in a certain county is changing according to the equation y = 75(0.96)*, where y=population in billions and t=time in years. The population is decreasing at a rate of 4% per year Which term represents how the bee population is changing? 75 0,96 y

Q: A number of a specific bacteria grows at a rate of 2% per hour. Estimate the number of the bacteria…

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

A: Given r(t) =200-4t We find total ammount of water that flows in 45 minute s

Q: The population of Canada geese in the Niagara region is increasing at 2% every year. In 2003 it was…

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Q: The population of a certain city was 34000 in 2010, and the observed relative growth rate is 0.5%…

A: Given information : Population of city in 2010 = 34000 Relative growth rate = 0.5%

Q: 20. A store finds that its sales revenue changes at a rate given by S'(x)=-3x² +300x dollars per…

A:

Q: 6) A chemical flow into a storage tank at a rate of 180 + 3t liters per minute, where 0st< 60. Find…

A: Given: Rate of flow of chemical in tank in liters per min: dVdt=180+3t 0≤t≤60

Q: |The rate of growth, in dollars per year, of the net worth, f(t), of a company is given by f'(t) =…

A: We need to find worth of company.

Q: 12. Brent is driving west at 60 km/h and Aaron is driving south at 70 km/h. Both cars are…

A: Since the cars are moving towards a point, all the distance are decreasing. So here we don't have to…

Q: 6. The number of tree frogs on an island is growing at a rate proportional to the population. The…

A: topic - exponential function

Q: Annual sales of bottled water in a certain country in the period 2007-2014 could be approximated by…

A: given: Annual sales of bottled water in a certain country in the period of 2007-2014 could be…

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: 5 when 4. Suppose y varies at a constant rate of change of 2.2 with respect to z, and y a. Write a…

A: The expression relating x and y can be written in point slope form which is shown on board.

Q: 50 Water flows from the bottom of a storage tank at a rate of r(t)= 100-6t liters per minute, where…

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Q: 2. The number, N, of bacteria in a culture at time t, in hours, is N(t) = 1000[30 + e a. What is the…

A: Topic:- exponential function  Note:- as per our guideline if more than three subparts posted than…

Q: Park service personnel are trying to increase the size of the bison population of a large park. If…

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Q: A study indicates that t months from now the population of a certain town will change at the rate of…

A: To determine the rate of change.

Q: Think back to early in the semester when the weather was cold and often snowy. Imagine that in a…

A: Note: It is assumed that the base of the mound is square.   The volume of a square pyramid is…

Q: A culture of bacteria initially contains 153 cells and grows at a rate proportional to its size.…

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Q: Q4) growth of a spherical tumor modeled as a function of the population of germs (g in Million) in…

A: Given function f(x), we can find the rate of change in f w.r.t to other variable t as dfdt=dfdxdxdt

Q: Suppose annual per capita sales of bottled water in a certain country in the period 2007-2014 could…

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Q: During the first couple weeks of a new flu outbreak, the disease spreads according to the equation…

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Q: 3. The rate of change function of the number of employees in the solid waste management industry is…

A: Consider the given function.

Q: 5. If P pounds per square foot is the atmospheric pressure at a height of h feet above sea level,…

A: P=2116e-0.0000318hFormuladdxex=ex

Q: The rate of growth of sales (sales per day) for a particular company is predicted to be 25e0.067…

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Q: A tank contains 100 gallons of brine containing 5 pounds of salt. Brine with a concentration of 2%…

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Q: Do you like crude oil production by Pemex Mexico's national oil company, for 2008-2013 could be…

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Q: he Corona Virus, that started to spread in many countries in early 2020, is more contagious than the…

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Q: An investment has been losing money. Its value has been decreasing at the rate of 13.1% per year.…

A: We have to use compounding series formula.

Q: Water flows from the bottom of a storage tank at a rate of r(t) = 200 – 41 liters per minute, where…

A:

Q: a). When do you think P, performance, increases most rapidly? b). Explain what happens to dp/ dt as…

A: We have question : a). When do you think P, performance, increases most rapidly? b). Explain what…

Q: The value of a computer t years after purchase is v(t) = 4000 e - 0.45t. At what rate is the…

A: Given, v(t)=4000 e-0.45t is the value function after t years. and we have to find the rate of value…

Q: A tennis ball bounces up from a racket, the height of of the ball is h(t) = 45t – 9.8t meters above…

A: We have to find the average velocity of the tennis ball in given time range. In this question we…

Q: cteria grow in a culture at a rate proportional to the amount present. Initially, 300 ands of the…

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Q: The mass of a cube in grams is M = x + 0.1x*, where x is the length of one side in centimeters. If…

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Q: The number (n) of members of an AFL football club increases over time (t weeks) according to the…

A: Given that, The number (n) of members of an AFL football club increases over time (t weeks)…

Q: BA certain motorcycle manufacturer has been building motorcycles for 98 years. Over that period,…

A: Given  r(t) = A · 1.05t where A is a constant representing the initial production rate and t is the…

Q: A pizza pan is removed at 4:00 PM from an oven whose temperature is fixed at 450°F   into a room…

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Q: A painting purchased in 1998 for $75,000 is estimated to be worth v(t) = 75,000 e"4 dollars after t…

A: Differential equations are those equations of mathematics that involve dependent variables ,…

Q: Think back to early in the semester when the weather was cold and often snowy. Imagine that in a…

A: Note: It is assumed that the base of the mound is square.   Using the product rule of derivative, it…

Q: 6. In a tank there are 1000 gal of water with a concentration of 1 lb per gallon of pollutant. Water…

A: Rate of change of pollutant in the mixture = dp/dt

Q: Think back to early in the semester when the weather was cold and often snowy. Imagine that in a…

A: Concept: Here we have the height of the mound is 24 inches (h) And the base of the mound is 36…

Q: More and more businesses and homeowners are installing solar panels on their roofs to draw energy…

A: First calculate the value of t in 2003 and 2005 with reference to 2000 than put that t in s(t)

Q: 21. Kimberly is driving west at 70 km/h and Courtney is driving south at 60 km/h. Both cars are…

A: Given: The speed of Kimberly is 70km/h and speed of Courtney is 60km/h, and both are approaching the…

Q: 4. The number of bacteria cells in a colony is changing according to the function C(t) = 400,000 ().…

A: NOTE: Refresh your page if you can't see any equations. . compare this function with  so here we…

Q: An oil tanker breaks apart and starts leaking. As time goes on, the rate at which the oil is leaking…

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Q: The number N of bacteria in a culture grewat a rate proportional to N. The value ofN was initially…

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Q: To create a saline solution, salt water with a concentration of 40 g/L is added at a rate of 500…

A: A real-valued function fx is referred to have an upper limit when there exists a real number B such…

Q: 4) Ashok's investment portfolio changes value at the rate V'(t) 15e0.06 (e0.36 _ 2) where V is in…

A: Given:

Q: 3. A bowl of soup has an initial temperature of 60 degrees Celsius. The temperature decreases by 6%…

A: Initial temperature= 60 degrees temperature decreases by rate 6% each minute