10 f(t) = 1– 100 t + 10 (t + 10)2

Q: The reproduction function for a whale is estimated to be  f(p) = −0.0005p2 + 1.03p,  where p and…

A: The reproduction function for a whale  f(p) = −0.0005p2 + 1.03p   f'(p) = -0.001p+1.03   For maximum…

Q: The function f(x) =(6.5x2 - 20.4x + 234)/(x2 + 36)models the pH level, f(x), of the human mouth x…

A:

Q: The fox population in a certain region has an annual growth rate of 6% per year. In the year 2012,…

A: I have appended the formula used in the solution part

Q: A painting was purchased for $50 000.00. The value of the painting increases by 4% each year. A…

A:

Q: A lake near to Arctic is covered by a 4 meters thick sheet of ice during the cold winter months.…

A: Solution :-

Q: 60+ Years after “Brown v. Board” In 1954, the Supreme Court ended legal segregation in U.S. public…

A: The given functions are B(x) = 16 ln x + 23  and  W(x) = 11 ln x + 49                      where…

Q: Total expenditures in a country (in billions of dollars) are increasing at a rate of f(x) =…

A: a)Given rate of total expenditure f(x)=8.68x+87.14let f(x) be the total…

Q: By noon, 3 inches of rain had fallen during a storm. Rain continued to fall at a rate of inch per…

A: We will find the amount of rainfall.

Q: 1. The function f(x) = 70x² can be used to estimate the BMR of mammals and many other types of…

A: The function that used to estimate the BMR (Basic Metabolic Rate) of mammals is f(x)=70x34. where x…

Q: The total cost of manufacturing x units during the daily production run at a factory, isC(x) = x^2 +…

A:

Q: The function f(x) = 2.9√x + 20.1 models the median height, f(x), in inches, of boys who are x months…

A: Given that ,fx=2.9x+20.1where the median height inches of boys who are ''x'' month of age .To…

Q: When the outside air temperature is anywhere from 72° to 96° Fahrenheit, the temperature in an…

A: To find the temperature increase after 30 minutes, put x = 30 in f(x), we get

Q: The figure shows an open box with a square base and a partition down the middle. The box is to have…

A: A square base with partition in between and height of y

Q: Defind constant-valued functions ?

A: We have to define constant valued functions.

Q: Rate of Increase:-  Which function grows faster as n approaches infinity? Explain. f (n) = 7n…

A:

Q: In a study on the speed of muscle contraction in a certain species of frogs under various loads,…

A: (A)The given  relationship between speed of contraction v​ (in centimetres per​ second) and load x​…

Q: 01. Revenue Growth Suppose that the annual revenue R (in millions of dollars) of a company after t…

A:

Q: Using a model of the prototype ball thrower, a ball is fired into the air with an initial upward…

A: Given that height of the ballht=-16t2+48t+41.if balls reaches maximum height then…

Q: The figure shows an open box with a square base and a partition down the middle. The box is to have…

A: In the given diagram of open box with a square base and a partition down the middle. The height of…

Q: Total expenditures in a country (in billions of dollars) are increasing at a rate of f(x) = 9.02x +…

A:

Q: Junker Renovation completely overhauls junked or abandoned cars. Data shows their 1970's models hold…

A:

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

A:

Q: V = Example 2: The velocity of a projectile is determined by the function where s is the horizontal…

A: The equation relating velocity and horizontal distance is where is velocity and is horizontal…

Q: Pregunta 3 The function f(N) = (0.002N)(1200 – N) | models the rate at which the number of infected…

A:

Q: A function A= 0e^-0.01386x  models the amount in pounds of a particular radioactive material stored…

A:

Q: A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 13…

A: NOTE: Refresh your page if you can't see any equations. . here the length of the cardboard is…

Q: Out-of-pocket spending in a country for health care increased between 2002 and 2006. The function…

A:

Q: Human Resources The number of jobs in the mining indus- try is changing at a rate (in thousands of…

A: Consider the provided question, Human Resources:- The number of jobs in the mining industry is…

Q: ut-of-pocket spending in a country for health care increased between 2003 and 2008. The function…

A: Here we calculate only by putting the values in the given equation

Q: (ii) The total cost of manufacturing x units during the daily production run at a factory, isC(x) =…

A: a). To express the total manufacturing cost as a function of t, we find the composition C(x(t)).…

Q: You invest $1,000 in a certificate of deposit (CD) that earns 5% interest every year. If the…

A:

Q: Handwritten # 4.- In the year 2012, the population of Clackamas County was 340 thousand people. In…

A:

Q: (a) Express the population after t hours as a function of t. population: (functic (b) What will be…

A: Can use exponential growth function to solve the problem. I have a rounded the decimal up to hundred…

Q: Junker Renovation completely overhauls junked or abandoned cars. Data shows their 1970's models hold…

A: Find the long-term value of one of these cars: fx=75−14xx+2For long term value,x→∞,then find…

Q: Price-demand. Suppose that the daily demand (in pounds) for chocolate candy at $x per pound is given…

A: Given demand function is D=1000-40x2 ,    1≤x≤5 Here 'x' represent price (in dollars) of per pound.

Q: 1. The function f(x) = 70x² can be used to estimate the BMR of mammals and many other types of…

A:

Q: Out-of-pocket spending in a country for health care increased between 2003 and 2008. The function…

A:

Q: By noon, 4 inches of rain had fallen during a storm. Rain continued to fall at a rate of inch per…

A: Given:

Q: In a study on the speed of muscle contraction in a certain species of frogs under various loads,…

A: As x increases the function of the form 1x tends to zero, i.e. 1x values moves closer and closer to…

Q: A culture starts with 8000 bacteria. After 1 hour the count is 10,000. Find a function that models…

A: we know that P(t)=P0ektwhere P(t) is population at time tP0= population at initial,k = growth…

Q: The fox population in a certain region has an annual growth rate of 4% per year. In the year 2012…

A: Given: P0=22660, r=4% according to given data fox populationP is given by…

Q: The function f(x) = 3.1√x + 19 models the median height, f(x), in inches, of girls who are x months…

A: a). To determine the median height of girls who are 48 months old, find the function value f(48).…

Q: A "surge function" is used in a wide range of mathematical models of real- world phenomenon, such as…

A: The given function S(t)=Ate-kt,  where A, k are both positive constants.

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: A baseball team plays in a stadium that holds 53,000 spectators. With the ticket price at $10, the…

A: Given,         A baseball team plays in a stadium that holds 53,000 spectators. With the ticket…

Q: Productivity-diminishing returns Suppose the pro- ductivity P of an individual worker (in number of…

A:

Q: A baseball team plays in a stadium that holds 54,000 spectators. With the ticket price at $10, the…

A: Given, Capacity of the stadium =  54,000 spectators  ticket price = $ 10  When ticket price at $10,…

Q: The figure shows an open box with a square base. The box is to have a volume of 10 cubic feet.…

A: Given- The box is to have a volume of 10 cubic feet. To express- The amount of material needed to…

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.