F(t) is the amount of citrus fruits exported from the United States in millions of pounds in year t. Write the following statements in function notation.t (a) In 2001, there were 2,392 million pounds of citrus fruits exported from the United States. (b) In 2003, there were 2,245,000,000 pounds of citrus fruits exported from the United States. (c) In 2005, there were 1.937 billion pounds of citrus fruits exported from the United States.

Q: Below is the function f(x). 7-

A:

Q: Graph the function. 3x for x-1

A: We need to draw the graphs of the following equations

Q: What is the effect on the graph of the function f(x)= √1/2x when f(x) is replaced with f(x)+2,A,B,C,…

A: Substitute f(x)+2 in place of f(x).

Q: How has the function g(x), shown below, been transformed from the parent function, f(x) = x2 ? g(x)…

A:

Q: Is the function f(x) = 1 the same as the function g(x) = xx

A: Given: Is the function f(x) = 1 the same as the function g(x) = xx

Q: is f(x)=3x^3-6 a one to one function if not what are the x values

A: Yes. Given function is one to one function.

Q: Find the domain of the function: f(x) = 3(x - 4)

A:

Q: Find the difference quotient f(x+h)-f(x)/h for the function below.  f(x)=4/x+8

A:

Q: what is the domain of the function f(×)=(×+1) ?

A: If y=f(x), then the variable x is called the input of the function, and y is called the output of…

Q: Suppose that P(x) represents the percentage of income spent on health care in year x and I(x)…

A: Given :- P(x) percentage of the income spent on health care in year x and I(x) income in year x.

Q: If f(4)=10, how do I write the function for it?

A:

Q: graph the functions. f (x) = (x + 2)2

A: Graph the functions.      f (x)=(x + 2)2

Q: Find the domain of the function f(x) = √(x - 3)

A:

Q: snip

A: Given: f(x)=x3-3x2

Q: Suppose that the function f(x) = 2x + 12 represents the cost to rent x movies a month from an…

A:

Q: What is the effect on the graph of the function f(X) = V5x when f(x) is replaced with f(x)?

A: Given query is to find the effect of indicated transformation on the graph.

Q: Is f(x) = 2x3 - 5 a one-to-one function?

A: A function f(x) is said to one one if, fx1=fx2⇒x1=x2

Q: Consider the function below. x2 – 2x + 1 f(x) 2x – 8

A:

Q: Graph the function. for x <2 f(x) = -x+4 for x 22

A: Given: fx=xfor x&lt;2-x+4for x≥2

Q: mathematically

A: We will solve the problem

Q: The elevation of a valley above sea level (in feet) is modeled by the function f(x, y) = -2000 +…

A: Given the function, f(x,y)=-2000+0.004(x-1000)2+0.001(y+1000)2 in the direction u→=(0,-1000) The…

Q: Describe the long run behavior of f() = (x – 4)(x + 3)°(x – 1)²: As a - 00, f(x) → ? As x 0, f(x) →…

A:

Q: Graph the function. f(x) = [x]] + 1

A:

Q: Graph the function f(x) =-x2-2                     x                       f(x) -2   -1   0…

A: Given,

Q: Is y=1/4 x05 a power function? And why

A: We have to check

Q: Find the domain of the function. f(x) = 10(x + 6)

A:

Q: Describe the long run behavior of f(x) = 2(x + 2) (x + 3) (x + 5): As x → 00, f(x) → ? v As x → 0,…

A:

Q: Find the value f(3) for the function f(x)=9

A:

Q: snip

A: The function is given as fx=x2-16

Q: Describe the long run behavior of f(x) - (x + 4)° (æ – 1) (æ + 3) As x → - 00, f(x) →

A: Limit problem....

Q: Is y=2x+1 a function or not?

A:

Q: Find the domain of the function. f(x) = x / √(x + 8)

A:

Q: The number of people who subscribe to ComDish TV network can be approximated by the following…

A: The number of people who subscribe to ComDish TV network is approximated by the function

Q: (d) Differentiate the implicit function below y³ + y = 2x² + 4

A: Given y3 + y= 2x2 +4

Q: The elevation of a valley above sea level (in feet) is modeled by the function f(x, y) =…

A: Given,  The elevation of a valley above sea level (in feet ) is modeled by the function,…

Q: The population of a city in the year 2000 is 250,000 people, and is modeled by the function, f (x) =…

A:

Q: Find the inflection points of the function f(x)=x+x5/3.

A: Inflection points are the points where the second derivative is zero. So differentiating with…

Q: Find the domain of the function. f(x) = x/ ( x2 + 1 )

A: f()=xx2+1we have to the domain of f(x)

Q: Consider the function below. x2 f(x) = x2 25

A:

Q: Graph the function. - 2x+1 for x<-1 f (x) = 2x +1 for x2-1

A:

Q: What is the domain of the function f(x) = √[(x-2)/(x+4)]?

A: Given :                      f(x) = x-2x+4    To find :                     The domain of the…

Q: Find the domain of the function: f(x) = 2(x + 5)

A: Given: fx=2x+5

Q: For the function f(x) = 2, find f'(x). 5/x+2 4 1

A: Given:   f(x)=x+245   To find: f-1(x)

Q: Find f (5) for the function f (x) = x+4

A: 1) The given function is fx=x+4. Evaluate f5 as follows. f5=5+4=9 Therefore, the value of f5 is 9.

Q: Determine the end (long run) behavior for the function below: f(x) = –2(x – 1)³(x+ 2)²

A: We first find the leading term of the given function  We will ignore the constants with the xs to…

Q: What is the parent function for f(x)=(x+7)^2

A:

Q: Graph the function. -x f(x) = 10아 1아 -10 -5 10 - 10 -5 5 10 -10 -10 10 1아 -10 -5 10 - 10 -5 10 -5…

A:

Q: he weight, in pounds, of a baby in the first six months of life can be modeled by the function…

A: f(x)=1.5x+7, where x is in age in months.

Q: What is the domain of the function f(x) = √(x2 - 16)?

A: The given function is fx=x2-16.

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.