You have 1000 feet of fencing to enclose a rectangular playground and subdivide it into two smaller playgrounds by placing the fencing parallel to one of the sides. Express the area of the playground, A, as a function of one of its dimensions, x.

Q: The total revenue for Fred's Estates LLC is given as the function R(x)=400x−0.2x2, where x is the…

A: Given  R(x)=400x-0.2x2

Q: Express the side length of a square as a function of the length d of the square's diagonal then…

A:

Q: Find domain of function  f(x) =1/√(x^2-6x+8)

A: The given function is: f(x)=1x2−6x+8 Find the domain of the given function.

Q: Express the area A of a rectangle as a function of the length of the rectangle is twice its width

A: Topic:- Function

Q: Order the functions from slowest growing to fastest growing as x -o: 4x², (In x)³, 10*, and e2x

A:

Q: Determine where the graph of the function f(x) = 2x3 - 6x is concave up and where it is concave down

A: Known fact: The graph of the function fx is concave up on I if f''x>0 for all x in I. The graph…

Q: The number of Instagram monthly active users (in millions) between 2013 and 2015 can be modeled…

A: The number of instagram monthly active users between 2013 and 2015 be the…

Q: Specify the domain of the function f (x) = /2x + 14.

A: Given : fx = 2x+14

Q: у 3 хе 2x xe %3D

A: Given function: y=xe2x

Q: Consider the function f(x) = 2x + 9x² – 108x +1 with - 6 < x < 4 -

A: Given,         fx=2x3+9x2-108x+1   with   -6≤x≤4

Q: Find Relative extreama of function 3. 9K-3xータx+1

A:

Q: The area of a rectangular floor is 1000 square feet. Express the perimeter of the floor, P, as a…

A: Let x be the width and y be the length of the rectangular floor. Given that the area of a…

Q: You have 400 feet of fencing to enclose a rectangular lot and divide it in two by another fence that…

A: You have 400 feet of fencing to enclose a rectangular lot and divide it in two by another fence that…

Q: The perimeter of a rectangle is 422 inches. If the rectangle is x inches long, find a function for…

A: Let us assume a rectangle with length x inches and breadth y inches.

Q: Find the range of the quadratic function f(x)= -x^2+4x-6 interval notation

A:

Q: Find the zeros of the function.

A: Our Aim is to find the zeros of the function given below:-r(x)=-12x2-24  -(i)

Q: Suppose a cannon is placed at the origin and elevated at an angle of 60 degrees. If the cannonball…

A:

Q: Identify the new quadratic functions f(x) = -4 (x-2)^2

A: Given:       f(x)=-4x-22               =-4x2-2x+4        fx=-4x2+8x-16     This in the form of…

Q: From a 27-cm by 27-cm piece of cardboard, square corners are cut out so that the sides can be folded…

A:

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x2 - 9, (0,…

A:

Q: A farmer wishes to fence the perimeter of a rectangular lot with an area of 1600 square feet. if the…

A:

Q: The height of a right triangle is 44 feet more than three times the length of its base. Express the…

A:

Q: Sketch f(x) = (x^2)/ (x^2 −5x+4) . Show all your work.

A:

Q: Find the point on the graph of f(x) = √x that is closest to the point (6, 0).

A:

Q: Find the domain of the function.

A: Given: fx=13x-6 To Find: Domain of the given function

Q: A rain gutter is made from sheets of aluminum that are 20 inches wide. As shown in the figure…

A: Width of aluminium sheet is 20 inches The edges are turned from both sides by x inches. The cross…

Q: The perimeter of a rectangle is 200 meters. Express the area as a function of the length, ?.

A:

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x² – 9, (0,…

A:

Q: Differentiate the function.

A: The function given is, y=xx-1 Differentiate the function,  Apply the product rule ,…

Q: Differentiate the function. 1,2 g(x) = 6. 6x + 15 | g'(x) = %3D

A: topic - derivative of a function

Q: Consider the function f(x) = х — 2 х — 4 -

A:

Q: Differentiate the function. f(x) = 16{x – 3 +2x

A: Given   f(x) = 16 x4-3+2x     now differentiating 1 w.r.t. 'x ' , we get    f'(x) = ddx16x14-3+2x…

Q: Find the domain of the function in interval notation: f(x) = Vx + 8

A:

Q: Find the point on the graph of the function f(x) = (x + 5)2 that is closest to the point (1,3). %3D

A:

Q: Consider the function f (x) = 3x – 6|.

A:

Q: Find the domain of the function : √(x+2)

A: Given function is fx=x+2

Q: Find the domain of the function in interval notation: f(x) = Vx + 22

A:

Q: A paper airplane was thrown from the top of a 9 meter tall house and falls at a rate of 3 meters…

A: Given  The height of the paper airplane above the ground can be found using  the function  y  =…

Q: Differentiate the function. 3 F(x) = =* 10 %3D

A:

Q: line to the functions: f(x)= v2 – 3x at x= -2 -

A: Definition used -                 Equation of a tangent to a point x= a for a function f(x) is…

Q: Differentiate the function. 4 F(x) 5

A: Given F(x)=45x10⇒ddx(45x10)⇒45*ddx(x10)We know that ddx(xn)=nxn-1

Q: From a 6-cm by 6-cm piece of cardboard, square IX corners are cut out so that the sides can be…

A:

Q: An open-top box is made by cutting equal squares of side x out of the corners of a piece of carboard…

A: Given that an open top box is made by cutting equal squares of side x out of the corners of a piece…

Q: Differentiate the function with respect to the independent variable. f(x) = - 3x° + 4x$ – 7

A:

Q: You have 600 feet of fencing to enclose a rectangular field. However, one side of the field lies…

A: To Determine: Express the area of the field, A, as a function of one of its dimensions, x. Given:…

Q: What value should be assigned to a to make the function x<3 |(x) = {x²- 1, (x)%3D (2ax, x23…

A: Given:   Function equation is given

Q: You have 800 feet of fencing to enclose a rectangular field. However, one side of the field lies…

A: Rectangular field: You have 800 feet of fencing to enclose a rectangular field. One side of the…