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A cubic function is a smooth function (differentiable everywhere). It has no vertices anywhere.

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Given an undirected graph G and an integer k?

Given an undirected graph G=(V,E) and an integer k, find induced subgraph H=(U,F) of G of maximum size (maximum in terms of the number of vertices) such that all vertices of H have degree at least k


How can you use the zeros of a function to find the maximum or minimum value of the function?

You cannot. The function f(x) = x2 + 1 has no real zeros. But it does have a minimum.


How many 40 Lb bags of concrete are needed to fill a container 42in x 42 in x 3 in?

To find the number of 40 lb bags of concrete needed, first calculate the volume of the container in cubic inches: 42 in x 42 in x 3 in = 5,292 cubic inches. Since there are 1,728 cubic inches in a cubic foot, the volume in cubic feet is 5,292 / 1,728 ≈ 3.06 cubic feet. A 40 lb bag of concrete typically covers about 0.30 cubic feet, so 3.06 / 0.30 ≈ 10.2 bags are required. Therefore, you would need approximately 11 bags of concrete.


How many tons of 2 rock to fill 23' x 24' x 5' deep?

To calculate the amount of 2 rock needed to fill a space measuring 23' x 24' x 5', first find the volume in cubic feet: 23 x 24 x 5 = 2,760 cubic feet. Since 1 ton of 2 rock typically covers about 0.5 cubic yards, and there are 27 cubic feet in a cubic yard, you would need approximately 2,760 / 27 = 102 cubic yards. Therefore, you would need around 102 tons of 2 rock to fill the space.


What is the maximum number of distinct edges in an undirected graph with N vertices?

Let G be a complete graph with n vertices. Consider the case where n=2. With only 2 vertices it is clear that there will only be one edge. Now add one more vertex to get n = 3. We must now add edges between the two old vertices and the new one for a total of 3 vertices. We see that adding a vertex to a graph with n vertices gives us n more edges. We get the following sequence Edges on a graph with n vertices: 0+1+2+3+4+5+...+n-1. Adding this to itself and dividing by two yields the following formula for the number of edges on a complete graph with n vertices: n(n-1)/2.

Related Questions

How many vertices dose a cubic rectangle have?

I believe a cubic rectangle has four vertices


How to calculate cubic function using point of inflection and extrema?

cubic function cubic function


What is the inverse of a cubic function?

The inverse of the cubic function is the cube root function.


Does cubic function have vertex?

Cubic functions usually have 2 vertices or none at all. It is not possible for a cubic function to have only one vertex because the end result of both "tails" of a cubic function must tend towards positive infinity and negative infinity (in other words, they are in opposing directions). Having only one vertex would result in the tails tending towards either positive infinity or negative infinity and therfore being in the same direction. For this reason, cubic functions cannot be written in vertex form.


How do you find the real zeros of a cubic function without a calculator?

In general, there is no simple method.


If the feasibility region shown below find the maximum value of the function?

To determine the maximum value of a function within a given feasibility region, you need to evaluate the function at all the vertices (corner points) of the region. Identify the coordinates of these vertices, substitute them into the function, and calculate the values. The maximum value will be the highest result obtained from these calculations. If you provide the specific function and feasibility region, I can help you further!


How can you show that every Hamiltonian cubic graph is 3-edge-colorable?

A cubic graph must have an even number of vertices. Then, a Hamilton cycle (visiting all vertices) must have an even number of vertices and also an even number of edges. Alternatively color this edges red and blue, and the remaining edges green.


What is a graph of a cubic function called?

A cubic graph!


What is the definition of a Vertex form of a quadratic function?

it is a vertices's form of a function known as Quadratic


Find the mean of the y-coordinates of the vertices?

It is the sum of the y-coordinates of the vertices divided by the number of vertices.


The function f(x) x3 is called the function?

The cubic function.


Is an exponential function is the inverse of a logarithmic function?

No, an function only contains a certain amount of vertices; leaving a logarithmic function to NOT be the inverse of an exponential function.