Find a function that models the area of an equilateral triangle in terms of the length x of one of its sides.

Q: 59. Express the area of an equilateral triangle as a function of the length of a side.

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Q: The intersections with the abscissa axis of the image function are: f (x) = x2 + 10x + 21

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Q: Define the term linear functions?

A: A function of the form f(x)=ax+b is called a linear function. Where a and b are real numbers.  A…

Q: Sketch the curve: f(x) = x* – 6x²

A: given function f(x)=x4-6x2we have to sketch the curve put the value of x=-2  , we get f(-2)=-8 put…

Q: Jxzy³ = 5 %3D

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

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Q: Summarize what happens in a cube root function.

A: The cube root function is generally given by Y3 = X.   Now here for the all nonzero real numbers,…

Q: ■ Find a formula for the described function and state its domain Express the area of an equilateral…

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Q: FX) = Secx

A: Given function to be differentiated is : F( X ) = sec X2 In order to differentiate above function,…

Q: 5. x²y3 5

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Q: Express the area of a circle as a function of its radius. Find the domain.

A: We have to express the area of a circle as a function of its radius.

Q: From a 24-cm by 24-cm piece of cardboard, square corners are cut out so that the sides can be folded…

A: in this first we will find side of the box and then  Volume of the box = length × breath× height

Q: Write the length L of the rectangle as a function of y.

A: The length L is bounded by two graphs x=2  &  x=2y3

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

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Q: A pool measuring 20 meters by 10 meters is surrounded by a path of uniform width, as shown in the…

A: Given information: A pool of rectangle size of length 20 m and breadth 10 m, Surrounded by a path of…

Q: Interpret the Mean Value Theorem when it is applied to any linear function.

A: Interpret the Mean Value Theorem when it is applied to any linear function.

Q: 2. Squares of side a are cut from each corner of a 8 in x 6 in rectangle, so that its sides can be…

A: GIVEN: Rectangle = 8 x 6            square of side 'a' are cut from the corners of the rectangle.

Q: Plot the fallawinet function:-

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

A: We know that the aluminum sheets are rectangular in shape. The cross sectional area of the gutter is…

Q: What are the Piecewise-Defined Functions?

A: Piecewise function is a function which has multiple sub-functions. Each sub-functions has different…

Q: Find the linear function that coresponds to the graph shown to the right.

A: Given data:     The first point shown in the graph is: A=(x1,y1)=(0,-3). The second point shown in…

Q: Express the area Aof an isosceles right triangle as a function of the length x of one of the two…

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Q: The hypotenuse of an isosceles right triangle is to be made into a circle C. Express the area A of C…

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Q: A closed rectangular box with a square base has a volume of 8000 cubic centimeters. Express the…

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Q: A landowner wishes to use 6 miles of fencing to enclose an isosceles triangular region of as large…

A: The isosceles triangular region must have fencing of 6 miles and we must have largest possible area.…

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

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Q: sketch the graph of the function f(x, y) = sqrt(4-4x^2-y^2)

A: Given function is, f(x,y) = 4-4x2-y2

Q: A rectangle has a perimeter of 20 ft. Find a function that models its area A in terms of the length…

A: We have to find the function of area A for rectangle where length is x and perimeter of rectangle is…

Q: A rectangle has a perimeter of 60 ft. Find a function that models its area A in terms of the length…

A: To find the function that models its area A in terms of the length x of one of its sides.

Q: A landowner wishes to use 12 miles of fencing to enclose an isosceles triangular region of as large…

A: Let x be the length of the base of the triangle. Fencing is 12 miles. One side base is x . other two…

Q: Find, if they exist, the extrema of the function:

A: Given that  f(x,y) = x2+y2-1 Subject to x - y = 2 ⇒g(x,y)=x-y-2 Let us find  <fx,fy> Finding…

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

A:

Q: A once-popular dog’s chew toy is slowly declining in popularity. The quartic function…

A: Given that x is the number of years since 1993 So 2001 means x=2001-1993=8

Q: Express the volume of a cube as a function of the length of an edge.

A: Cube:

Q: find domain of Function composition f(x)=,

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Q: Describe the Discontinuity Functions?

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Q: Is this function Discrete, continuous, piecewise, or linear?

A: as we can see here graph does have scattered points so the given function is not Discrete. now, as…

Q: Define the term constant function.

A: The constant function is defined as the function whose all domain value maps into a single value in…

Q: Sketch a rough graph of the function without using acalculator.   y=   5x - 1

A: We have to Sketch a rough graph of the function without using a calculator.           y=   5x - 1

Q: ) Sketch the curve: f(x) = x* – 6x²

A: Given function is fx=x4-6x2

Q: Express the side length of a square as a function of the length d of the square’s diagonal. Then…

A: Let x be the length of a side, d be the length of the diagonal and A be the area of the square.Now…

Q: In what degree of homogeneity is the function x + 4y

A: The given function is x+4y To find: degree of homogeneity of the given function.

Q: What is an even function?

A: we have to tell what is an even function.

Q: Create a linear function over [-3,-1] that has an area of zero.

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Q: Does the table below represent a linear function? Explain the space

A: We have given that, X=5,6,7,8 and f(x) =5,8,11,13 Thus, we have following co-ordinates points as…

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

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Q: Give two examples of functions that are not differentiable.

A: The function is non differentiable at points where limit does not exists or infinite

Q: Sketch a rough graph of the function without using acalculator.   y=   -e-x

A: Given: y=-e-x

Q: Which of the following is the appropriate function to use to find the dimensions of the rectangular…

A: Let the length of the rectangular garden = x feet Breadth of the rectangular garden = y feet…