The population of a city in the year 2000 is 250,000 people, and is modeled by the function, f (x) = 250,000 (.8) * where the interval x is measured in decades. What would the population be in 2006?

Q: We have seen that temperature in Fahrenheit is a function of temperature in Celsius. Is it also true…

A: It is given that Farenheit is a function of temperature in Celcius.And the temperature in Celsius…

Q: The number of public elementary and secondary school teachers​ (in millions) in a particular year…

A: Given query is to find that after how much time there will be 3.5 million teachers.

Q: After declining between 1940 and 1980, the number of households has been increasing since 1980. Use…

A:

Q: The price of 1 gallon of unleaded gasoline at the pump dropped to $2.19 on January 1, 2015, and…

A: As the price of  1 gallon of unleaded gasoline is decreasing  4 cents per month starting from…

Q: The number of licensed drivers in a country (in millions) can be approximated by the function g(x) =…

A:

Q: Differentiate f (x) = x sech x².

A: ddxsech x = (-sech(x) tanh(x)) ddx(u(x)v(x))= u'(x)v(x) + u(x)v'(x). ( Cain rule of derivative)

Q: Suppose that the selling price p of an item for the quantity x sold is given by the function p=-1/5…

A:

Q: According to the National Center for Health Statistics, in 1990, 28% of babies in the United States…

A:

Q: When a company charges p per unit, it can sell 100 − 2p units. What is the revenue function?" I'm…

A: Given that:-price per item=punits of item sold=100-2pTo find: the revenue function

Q: The percentage of gross domestic product​ (GDP) in a state going toward health care from 2007…

A: Given, the modelled function f(x) = 1.3lnx + 14.7, where f(x) is the percentage of gross domestic…

Q: The second edition of a textbook was 799 pages long. By the time it got to the sixth edition the…

A: Suppose, L represents page length and n represents the edition number. The points are written as (n,…

Q: . Find the first, second, and third derivative of function f(x) = 3x5 – 2x³.

A: Topic:- derivatives

Q: What is another method for combining functions?

A: The functions can be combined by method of composition. That is, Let f:A→B & g:B→C be two…

Q: The number of carbon atoms in a fossil is modeled by the function, C(z) = 5100 (0.93), where, x,…

A: SOLUTION-

Q: A college has a financial aid formula that applies to applicants whose family's income is below a…

A: Given,f(x)=10000+5000x Where x is the number of siblings and f(x) is the financial aid of the…

Q: How can the functions be multiplied by constants?

A: Multiplication of the function by a constant can be done by multiplying the output of the function…

Q: The construction industry was one of the hardest-hit by the recession of 2008, but housing starts…

A: NOTE: Refresh your page if you can't see any equations. . here x= number of years after 2002 so…

Q: Write a derivative formula for the function fx)- 12.2(4.7 x2 1.5475x(4.7-2( 4.7*) f'(x) 12.2 = X

A: Given

Q: Differentiate f (x)  = e1x

A: f(x)=ex

Q: Apply the second derivative test to find the relative extrema of the function fx) =x*-18x-3

A:

Q: The number of ATV-related deaths for people of all ages from 1999 to 2009 can be modeled by the…

A: Given the number of ATV-related deaths for people of all ages from 19999 to 2009 can be modeled by…

Q: A rectangular plot requires 2000 ft. of fencing to enclose it. If one of its dimensions is x (in…

A:

Q: Scientists in Malaysia have collected data revealing that there is a linear relationship between the…

A: Ix=2.41+0.12x (a) Substitute 70 for x into provided linear model. I70=2.41+0.1270=2.41+8.4=10.81 cm…

Q: anita is on a competetive rowing team . after 2 minutes the team rows at a constant speed of 4…

A: By making differential equation between distance and time

Q: After declining between 1940 and 1980, the number of households has been increasing since 1980. Use…

A:

Q: According to an experimental study, the lifespan of a hamster is a function of the time the hamster…

A:

Q: what point is on the graph of a function f with equation fK): 1og,x, regardless of the value of b?…

A: fx=logbx   We have to find the point on the graph of the function f,…

Q: Suppose that the daily profit (in dollars) from the production and sale of x units of a product is…

A: Given that the daily profit (in dollars) from the production and sales of x units of a product is…

Q: Find the slope of the line tangent to the graph of the function defined by f(x) = 3x2 – 4 at (1,…

A: Solution:Given        f(x)=3x2-4   at (1,-2)To find:Slope of the line tangent to the graph The…

Q: Based on past experiences, a homeowner estimates that appliances lose 35% of their resale value each…

A:

Q: After declining between 1940 and 1980, the number of multigenerational American households has been…

A: Given, Function,h(x)=0.012 x2-0.583 x+35.727 To find: Year in which there were 40 million…

Q: Without using a​ calculator, complete the table with values of the function ​f(x)=(81)x. Then use a…

A: given function is f(x)=81 x find out the values of f(x) at x=-34,-12,-14,0,14,12,34,1

Q: Find the function of the derivative f'(x)= -12x+5 and with the graph passing through (-2,5)

A: Given, f'(x)= -12x+5

Q: would it make sense for a function to pass through (0,100)? Why?

A: Topic:- function and geometry

Q: How will you differentiate an implicit function that can't be expressed in the form of y = f(x)?

A: For the differentiation of implicit function, we will differentiate each side of an equation with…

Q: Differentiate.

A:

Q: Find the derivative of the function. f(x) =-4x2+x+ 6

A: Consider the function  f(x)=-4x2+x+6

Q: Find a linear function that approximate f(x) : 27. = x 3 near x =

A: To Determine: find a linear function that approximate f(x). Given: we have function fx=x23 near…

Q: Life expectancy at age 65:  By using the Social Security Administration data for selected year from…

A: fx=0.077x+13.8

Q: -4 - Find the derivative for the function f(x) = (5x−4+ 3x + 7) (8x−³ − 7x + 10) 5. Do not simplify…

A: Given, f(x)=5x-4+3x+78x-3-7x+105

Q: f (x) = - 4x² - 6x x²+3

A: The given function is f(x)=4x2-6xx2+3. Find the derivative of the function. Here we use the…

Q: What are some things that nonlinear functions don’t have?

A:

Q: Your classmates may have different criteria for their functions, so in your initial post in…

A:

Q: We opened this section with a study showing that late in the semester, procrastinating students…

A: Given;

Q: Solve no 73

A:

Q: Please

A:

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x², (0,8)…

A:

Q: A downtown parking lot charges $5 per hour for the first 2 hours, then 2.50 per hour after that.…

A: Given that for first 2 hours parking charges = $5 per hour and after 2 hours parking charge = $2.50…

Q: A ball projected upwards with a velocity of 128 feet per minute from a Height of 5 feet above the…

A: Ball reach its maximum height at t = 4 minutes

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.