farmer wants to fence an area of 6 million square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle. Let y represent the length (in feet) of a side perpendicular to the dividing fence, and let x represent the length (in feet) of a side parallel to the dividing fence. Let F represent the length of fencing in feet. Write an equation that represents F in terms of the variable x.

Q: Write g ( x ) in terms of f ( x ). f ( x ) = 3x + 5    g ( x ) = 3x - 1

A:

Q: Solve for f(x)

A:

Q: |If f(x) = /7x + 10, find f'(x).

A: Given problem is :

Q: Determine whether the equation x2 + y2 = 1 defines y as a function of x.

A: The given equation is x2+y2=1. This implies that,

Q: If f(x) = 21, find f'(– 10).

A:

Q: If f(-x)=(2,-1), what are the coordinates of f^(x)?

A: Given that,  f-x=2,-1

Q: The amount of energy a microwave oven uses (in the form of electricity) is given by the function…

A: The amount of energy a microwave oven uses is given by the function f(x)=5x+9   The amount of energy…

Q: Find  f ′(a)  f(x) = 2x4,    a = −1

A:

Q: If possible, evaluate the function at the given value of the variable. f(x) = V5x-2 x=2

A: We need to evaluate the given function at x=2

Q: Determine whether the equation y = -√(x + 4) defines y as a function of x.

A:

Q: Differentiate the function.  f(x) = 240

A: Given function is

Q: If f(x)=7-2x+x^3,find f(0)

A:

Q: If f(x) = (3,-1) what are the coordinates of f(x) : +1?

A: To find the coordinates of the new formed function.

Q: If f(x) = 3x? – 2e", find: f'(x) = = (x),.

A:

Q: Determine whether the equation defines y as a function of x : x = y2

A: The given function is: The given function has to be y=f(x).

Q: Determine whether the equation defines y as a function of x : lxl - y = 5

A: Given that: The  function   x - y = 5

Q: find

A:

Q: Given f(x) = x3, find the difference quotient f(x + h) – f(x)

A: Given function:

Q: If f(x) = 3(x + 4), find f(2).

A: Given,f(x) = 3x+4)we have to find f(2)

Q: If f(x) = 19, find f'(7).

A: If f(x)=19, then we have to find f'(7)=?.

Q: If g(x)= 2x+5 calculate determine the value of x if g(x) =21

A:

Q: 1. f(z +h) – f(x), h #0 : f(w) – f(x) r h - 2. ', x # w : -3<x3 w - x

A:

Q: In the given equation , determine whether the statement is true or false. If it is false, explain…

A: An equation of a horizontal line is of the form y=k where k is a constant. Slope of a horizontal…

Q: Can the function be represented by an equation?

A: Yes, We do not need any representation as the function is itself an equation. As, Function shows the…

Q: If f (x) = x2, find f (x + h) - f (x) and simplify.

A: The given function is fx=x2.

Q: If f(x) = 10, find f'(-1).

A: Given f(x)=10,  to find f'(-1) Formula used Differentiation of a constant value is zero d (constant)…

Q: If f(x) = x² – 2x + 5, find f(-4).

A: Given,f(x)=x2-2x+5,To find: f(-4). Solution: f(x)=x2-2x+5 substituting,x=-4 ,in f(x) we get f(-4)…

Q: Find f'(x). f(x) = 7xe*

A:

Q: If f(x) = 4, find f'(- 11).

A: The given function is:fx=4To find f'-11

Q: If f(-x)=(2,-1), what are the coordinates of f'(x)?

A: If coordinates of f(x)= (x,y) then  coordinates of inverse of the function f(inverse)(x) = (y,x)

Q: If f(x) = 4x2 - 2x + 7, find [f(x + h) - f(x)]/h, h ≠ 0, and simplify.

A:

Q: For the pair of functions, find the indicated  F(x)=4x2+6x+9   g(x)=2x-3 a. (F•g)(x)=  b. (F-g)(-3)=

A:

Q: If f ( x ) = 120 x − 16, what is the value of ( f ∘ f ) ( 19 ) ?

A:

Q: Determine whether the equation defines y as a function of x :  lxl - y = 2

A: Vertical line test: Vertical line is use to check graph is graph of function or not. Vertical line…

Q: Suppose the weekly cost for the production and sale of bicycles is C(x) = 16x +4149 dollars and that…

A: Use formula

Q: |Find constants a, b, and c such that the function f (x) = x³ + ax? + bx + c will INCREASE to the…

A: Let's find.

Q: If f(x)= 2x^2 - 4, find f(0)

A: to find:- f(0).

Q: If f(x) = 3, find f'( – 8).

A:

Q: If f(x) = 10, find f'(3).

A:

Q: The function, f(x)=1.8x+32f(x)=1.8x+32, is used to convert temperature in Celsius temperature, xx,…

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: Differentiate the function.   f(x)  =240

A: We have to differentiate the function: fx=240 We know that differentiation of any constant is zero.…

Q: If f(x) = 21, find f'(3).

A:

Q: Solve the equation for y in terms of x, and replace y with function notation f(x). Then find f(2). y…

A:

Q: Differentiate the function with respect to the independent variable. f(x) = 6 – 5x - 8x? f'(x) =O

A:

Q: If f(x) = 3x + 9, find f'(x).

A: on differentiation with respect to x we get   f'(x)=3 d/dx (x)+0 f'(x)=3