Describe the cubic functions?

Q: Can you help me put this graphed f(x) function into a standard form equation and a general form…

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Q: The water from an outdoor fountain follows a path that is shaped like a parabola. The arch created…

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Q: What kind of functions are isogonal?

A: A  function is called isogonal mapped with another function if the angle in the process remains…

Q: Describe how the name hyperbolic function arose

A: Consider the equation of the semicircle is, Consider the equation of the hyperbola is,

Q: Approximate the function that represents the data (2,–2), (4,2), (5,3) by a cubic spline.

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

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Q: 24. Is arcsine an even function, an odd function, or neither?

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Q: 2 3 4/56 7 8 10

A: To determine the period of the given function Period: It is represented as “T”. A period is a…

Q: Estimate the cubed root of 28 using a linear approximation

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Q: Which of the functions has the y-axis as the line of symmetry?

A: Generally we check three kinds of symmetries for the graphs. Symmetry about X axis Symmetry about Y…

Q: Approximate the function that represents the data (2, -2), (4,2), (5,3) by a cubic spline.

A: Solution:

Q: Find an equation of the tangent line to the parabola y − x2 - 8x + 9 at the point (3, -6).

A: The derivative of a curve at a point gives the slope of the tangent to the curve. It can be…

Q: Find an equation of the povalbola in standovet form focus at F(-4,0) and divectrix ;X=-4

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Q: Find a cubic function

A: Given, The cubic function, Which has local maximum of 3 at and the local minimum value of 0 at .

Q: The polvnomial parent function given has been transformed. Write the equation of the new image.

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Q: Which point on the graph of y = radical x is closest to the point (7, 0)?

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Q: Use the form to create a cubic function that (a) passes through the point and rises to the right and…

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Q: Sketch the graph of f.

A: Given: fx=2x+12 For drawing graph of given function, we use graphing utility  So, graph of given…

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: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A: The standard equation of the parabola having vertex at (h, k) is given by, y-k=a(x-h)2

Q: Find a function whose graph is a parabola with vertex (5, -4) and that passes through the point (1,…

A: Please refer the attached image for complete solution.

Q: Find an equation of the tangent line to the parabola y=x2  -8x+9 at the point (3, -6)

A: Given :          y= x2-8x+9

Q: Sketch the graph of the functi y= (]x-1|)/(x-1)?

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Q: Write the equation that defines two differentiable functions?

A: The functions which are differentiable in the defined limits are said to be a differentiable…

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, ?.

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Q: Write an equation for the function graphed above %3D

A: The graph of y = x3 is shown below.

Q: Write a cubic function whose graph is shown. 4 1 (0, 2) -1,0) (2, 0) -4 -2 4 x (1, 0) f(x) =

A: In the given question, concept of polynomial is applied. Polynomial The term "polynomial" refers to…

Q: What are the cubic functions?

A: We have to discuss about cubic function.

Q: What is the square root function?

A: Square root function - fx=x is a function that maps the sets of nonnegative real numbers. Its momain…

Q: Find a cubic function  y = ax3 + bx2 + cx + d  whose graph has horizontal tangents at the points…

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Q: Is (x^6)*cosax a even or odd function?

A: Given function is To find: is even or odd function. For even function For odd function

Q: Some parabolas that open to the right have equations that define y as a function of x.Determine…

A: The given statement is "Some parabolas that open to the right have equations that define y as a…

Q: The pedals of a bicycle are mounted on a bracket whose centre is 25cm above the ground. Each pedal…

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Q: Find a function that models the radius r of a circle in terms of its area A.

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

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

A: Cube:

Q: Approximate the function that represents the data (2,-2), (4,2), (5,3) by a cubic spline.

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Q: Determine the equation of the radical function represented by the graph. +

A: The given graph as

Q: Sketch the curve y cu. = x sq.

A: Given the curve is y3 = x2 Put random value in the curve and we get the table which help to trace…

Q: Sketch the graph of the function. Incl y = tan(4x) %3D

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Q: Sketch: y = -x(x + 50)(x – 1000)(x + 1)

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Q: Find a function whose graph is a parabola with vertex (3, -2) and that passes through the point (1,…

A: Topic =Parabola

Q: Differentiate the following hyperbolic functions.

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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: Find a cubic function y = ax3 + bx2 + Cx + d whose graph has horizontal tangents at the points (-2,…

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Q: Sketch the graph of the function. y = −sec 2 x

A: Standard form of Secant function is  y = A sec ( B x − C ) + DGiven  y = − sec ( 2 x )A = − 1 , B =…

Q: Why must a cubic function have at least one x-intercept

A: A cubic function with REAL coefficients can have either one x-intercept or 3 x-intercepts. This is…

Q: Express the area as a function of the circumference?

A: There is some information missing. I am assuming the missing information as "area of the circle as a…

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.