Q2 Use Tutte's Theorem to determine if the graph H contains a 1-factor. Carefully explain your...
5. Use the Factor Theorem to determine if - 3 is a root of h(x) = x3 – x2 + 27. Do not use synthetic division 6. Write a fourth-degree polynomial f(x) that has roots -2, -5,3 7. Without using your calculator, but by using the change of base equation, show me step by step how to find log, 200 in terms of logarithms with base 10
Use synthetic division and the factor theorem to determine whether x - 2 is a factor of f(x) f(x)-4x3-10x2 +7x-6 Complete the first row of the synthetic division table.
Q2. The applications of the 68%-95%-99.7% Empirical Rule and Chebbysheff's Theorem (1) Please use your words to explain what is the 68%-95%-99.7% empirical rule. (2) Please use your words to explain what is the Chebbysheff’s Theorem. (3) Now, suppose there is a normally distributed data set with the mean of 30 and the standard deviation of 5, what can you say about the proportions of observations that lie between each of the following intervals: (i) 25 and 35? (ii) 20...
13 State the closed graph theorem and use it to prove the following. Let H be a closed subspace of C[0, 1] which is also closed in L,10, 1 (in L1-norm). It is known that the mapping I : h E H C CO, 1] → h E L1 is bounded. Show that 1-1 is bounded (continuous)
13 State the closed graph theorem and use it to prove the following. Let H be a closed subspace of C[0, 1] which...
please answer it ASAP
IV.Questions (36%) 1. Explain the main idea of H-O theorem. (6%) 2. What is increasing returns to scale? Draw a graph to explain the trade based on increasing returns to scale (10%) 3. Draw a graph to explain the effect of import quota (8%) 4. The production possibility frontiers of nation 1 shown in Fig. nation 1 is labor abundant and export X. PAis the equilibrium price of autarky in nation 1, Pw and Pa are...
IV.Questions (36%) 1. Explain the main idea of H-O theorem. (6%) 2. What is increasing returns to scale? Draw a graph to explain the trade based on increasing returns to scale (10%) 3. Draw a graph to explain the effect of import quota (8%) 4. The production possibility frontiers of nation 1 shown in Fig. nation 1 is labor abundant and export X . P4 is the equilibrium price of autarky in nation 1, Pw and P are the world...
Graphic Theory Question: Will upvote all
answers.
Please read carefully and answer clearly (easy to
read).
Theorem 1.12) A nontrivial graph G is a
bipartite graph if and only if G contains no odd cycles.
Question 5. Consider the statement, "If G is a graph of order at least 5, then at most one of G and G is bipartite" Here is a picture of your book's proof: 1.25 Proof. If G is not bipartite, then we have the desired...
Homework: 3.3 Zeros of Polynomials Score: 0 of 1 pt 3.3.17 Use the factor theorem and synthetic division to decide whether the second polynomial is a factor of the first x2 + 4x2 +7x-1 Is x-1 a factor of X + 4x2 +7? No, because f(1) = -1 Yes, because f(t)=0. Click to select and enter your answers) and the Answer All parts showing Type vere to search O
3. Use Kuratowski's theorem to determine whether the given graph is planar. Construct the dual graph for the map shown. Then, find the number of colors needed to color the map so that no two adjacent regions have the same color. 4. a) b) CCE 5. Show that a simple graph that has a circuit with an odd number of vertices in it cannot be colored using two colors.
3. Use Kuratowski's theorem to determine whether the given graph is...
oNB hyperbola Exer. 1-13: (a) Use the identification theorem (12.14) to determine whether the graph of the equation is a pa- rabola, an ellipse, or a hyperbola. (b) Use a suitable rotation of axes to find an equation for the graph in an x'y-plane, and sketch the graph, labeling vertices.
oNB hyperbola
Exer. 1-13: (a) Use the identification theorem (12.14) to determine whether the graph of the equation is a pa- rabola, an ellipse, or a hyperbola. (b) Use a...