Medicaid The projected annual increases (in millions) in the number of people receiving Medicaid canbe modeled by the function y = 3.196 + 3.975 ln x,with y in millions and x in years after 2000. In whatyear does the model predict the annual increase willbe 15.66 million?

Q: POPULATION The population of rabbits in an area is modeled by the growth equation P(t) = 8e ^…

A: given P(t) = 8e (0.26t) where is in thousands and is in years.

Q: Drug Concentration When a drug is injected into the bloodstream of a patient through the right arm,…

A: Introduction: Calculus uses a function's derivative to establish whether a function in a certain…

Q: Water leaks from a vertical cylindrical tank through a small hole in its base at a rate proportional…

A:

Q: A 500 gallon oil spill undergoes a cleanup process. The company hired to clean the spill can remove…

A: It is given that 15% of the spilled oil gets cleaned and initially there are 500 gallon of oil is…

Q: ne capacity of commercial large aircraft to generate revenue is measured in ton-miles. The capacity…

A: Rate of change of function

Q: A company runs food service concessions for sporting events throughout the country. Their marketing…

A: Given informationTotal no. of hot dog sold is x thousandsNew hot dog is approximately

Q: Comparing growth rates Determine which of the two functions grows faster, or state that they have…

A:

Q: Compounded inflation The U.S. government reports the rate of inflation (as measured by the consumer…

A:

Q: Radioactive Cesium The half-life of cesium-137 is 30 years. Suppose we have a 10-g sample. (a) Find…

A: As we know that mass after t years for any object will remain same, so  to find the value of r,…

Q: Comparing growth rates Determine which of the two functions grows faster, or state that they have…

A: Let the given function as: f(x)=√x^6+10 and g(x)=x3. If there is two function f(x) and g(x) then the…

Q: Disappearing Mothball The rate at which the volume of a mothball evaporates from solid to gas is…

A: The rate of evaporation = Rate of decrease in volume of mothball is directly proportional to the…

Q: Population Growth In Section 2.1, Exercise 37, the growth in world population (in millions) was…

A:

Q: Mr. Investment is projecting to make a substantial amount of money using this function, A = Pe".In…

A: Given,  Principal = P = $ 650 Amount = A = $ 950 return rate = r = 1.08 %  A = Pert   t is the time…

Q: "J-Hope" PROBLEM SOLVING A bacterial population Z is known to have a rate of growth proportional to…

A:

Q: A colony of bacteria is measured each day. The diameter of the colony in mm on day t of the…

A: By differentiation

Q: The population of Metropolis was approximately 2,600,000 people in 2000. The population began…

A:

Q: hillibars, respectively. World Population Growth Between 2000 and 2017, world population in millions…

A:

Q: Year 2012 2013 2014 2015 2016 Deaths due to Lysol injections | 725 853 1046 1233 1453 (a) Find the…

A: The average rate of growth from 2013 to 2014 is given by: 1046-853=193 The average rate of growth…

Q: The population of a city is 40,000 and the annual growth rate is 1.6%. Write an equation to model…

A:

Q: 49. National health care National expenditures for health care H (in billions of dollars) have risen…

A:

Q: Some of the highest tides in the world occur in the Bay of Fundy on the Atlantic Coast of Canada. At…

A: This question is based on application of Derivative.

Q: The growth rate of a town's population after t years is P'(t) = 420 t². If the town's current…

A:

Q: Sperry Glacier in Montana covered about 0.78 km2 in 2015 and was shrinking at a rate of about 2.8%…

A:

Q: Projection sensitivity According to the 2014 national population projections published by the U.S.…

A: a)Given, Given, Growth rate,r=0.79%=0.0079 Initial population=334.4 millions Find the population…

Q: The population model given in class fails to take death into consideration; the growth rate equals…

A: Let the birth rate is given by b and death rate is given by d.From the given question we know that…

Q: Fluorodeoxyglucose is a derivative of glucose that contains the radionuclide fluorine-18(18F). A…

A:

Q: 3. Which function has the greater constant rate of change? Which has the greater initial value?…

A:

Q: population of bacteria can be modeled by the function flt) = 1000(0.98)', where t represents the…

A: Let the rate of decay of the population is r So the equation will be of the form f(t)=1000(1-r)t

Q: The Net Rate of Reproduction (NRR) ______________________ A) a function of both fertility and…

A: The Net Rate of Reproduction (NRR) is a function of both fertility and mortality. If NRR is equals…

Q: Fluorodeoxyglucose is a derivative of glucose that contains the radionuclide fluorine-18 (18F). A…

A: (a) It is given that a patient is given a sample of the material containing 300 MBq of 18F.

Q: A ball is thrown into the air. The table shows the heights h (in feet) of the ball after t seconds.…

A: Given : A ball is thrown into the air . The provided table shows the heights h (in feet) of the ball…

Q: Population growth Suppose p(t) = -1.7t3 + 72t2 + 7200t +80,000 is the population of a city t years…

A: Given,  pt=−1.7t3+72t2+7200t+80000  after  1950t=0 Average rate of growth=pb−pab−aRate of growth at…

Q: Box-Office Receipts The total worldwide box-office receipts for a long-running movie are…

A:

Q: The population of the United States was 3.9 million in 1790 and 178 million in 1960. If the rate of…

A: We will find out all the required values.

Q: B) antibiotic pharmacokinetics Suppose that antibiotics are injected into a patient to treat a sinus…

A:

Q: When a reservoir is created by a new dam, 50 fish are introduced into the reservoir, which has an…

A:

Q: Consumers are spending more on music from digital sources than they do on CDs. Purchases of streamed…

A:

Q: 2. Complete the table Function Growth or Decay? Initial Value Growth/Decay Rate (as a %) V(t) = 238…

A: The exponential growth or decay function is a function that grows or shrinks at a constant percent…

Q: Population growth The population of Glenbrook is 375,000 and is increasing at the rate of 2.25% per…

A: Given, Therefore population (y) after x years will be

Q: 1. Lumyn Electronics has seen stellar expansion in recent months. The company's profit, P, is…

A: The company’s profit, P growing exponentially at 5% each year.The rate of change of the company’s…

Q: A drug trial is studying the efficacy of a new drug for thalassemia, a genetic disorder in which a…

A: Given: ft=-t5+3t4-6t3-2t2+60t Note: Since the procedure is missing, we have used the standard…

Q: "he amount of grovth of plants in an ungrazed pasture is a function of the amount of plant biomass…

A: Formula for the growth of pasture in the arid zone of Australia : Y = −55.12 − 0.01535N − 0.00056N2…

Q: Sunlight is absorbed in water, and as a result the light intensity in oceans, lakes, and ponds…

A: Given Data The equation of the percent of surface vs depth for ocean is P=e-0.0491x. The equation of…

Q: Revenue Growth Suppose that the annual revenue R (in millions of dollars) of a company after t years…

A: To solve for t, substitute 1 for R(t) in the equation Rt=t23, and then raise power to 3  on both…

Q: Carbon dating is a tool used to determine the age of a fossil. For example, a humanoid skull was…

A: To estimate the age of the skull.

Q: Bacteria is being cultured in an agar plate. It was observed that the growth of bacteria is…

A: We will find out the required time.

Q: Suppose that antibiotics are injected into a patient to treat a sinus infec- tion. The antibiotics…

A:

Q: Some of the highest tides in the world occur in the Bay of Funday on the Atlantic Coast of Canada.…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.