A. The solutions of line m are (3,3),(5,5),(15,15),(34,34),(678,678), and (1234,1234). b. The solutions of line n are (3,-3),5,-5),(15,-15),(34,-34),(678,-678), and (1234,-1234). c. Form the equations of both the lines d. What are the co ordinates of the point of intersection of lines m and n? e. Write the co-ordinat
Let f be a function from A to B. Let S and T be subsets of B. Show that: a) -1 -1 -1 f (S U T) = f (s) U f (T) b) -1 -1 -1 f (S n T) = f (S) n f ( T)
See attached file for full problem description. Identify the graph of the function (line, parabola, hyperbola, or exponential), explain your choice, and give the domain and range as shown in the graph, and also the domain and range of the entire function.
Explain this problem with a graph to understand and explain it step by step. a) Show that if G is a 2-connected graph containing a vertex that is adjacent to at least three vertices of degree 2, then G is not hamiltonian. b) The subdivision graph S(G) of a graph G is that graph obtained from G by replacing each edge uv of
1. Solve for x: 0.05(x+20)=0.1x-0.5 2. Solve for y, given that x = -3 3xy-2x=-12 3. Line 1 is described by the equation 3y-2x = -3. Line 2 goes through the origin and intersects line 1 at x =6. What equation describes line 2? 4. Solve for x: l x-1/2 l = 3x/2-3/4 5. Bob received $14,000 inheritance and divided it b
The x- and y- intercepts of the line 5x + 6y = 30 are a) (0, 6) and (5,0) b) (5, 6) and (6,5) c) (1/6, 0) and (0,1/5) d) (6, 0) and (0,5)
8. The slope and x-intercept of the line 4x + 6y + 24 = 0 are a) -2/3 and (-6, 0) b) -3/2 and (0, -4) c) -4 and (-24, 0) d) none of the above 9. The slope of the line passing through (1,1) and (1,-1) is a) 1 b) 0 c) 2 d) inf
Given f(x) = 2/(x-1) use the four step process to find a slope-predictor function m (x). Then write an equation for the line tangent to the curve at the point x = 0.
Let f(x) = cos(x) = ; then, consider the following rational approximation r(x) = called the Pade Approximation. Determine the coefficients of r in such a way that f(x) - r(x) = γ8x8 + γ10x10 + ...... Please see the attached file for the fully formatted problems.
a) Graph the function, highlighting the part indicated by the given interval b) Find a definite integral that represents the arc length of the curve over the indicated interval and observe that the length cannot be evaluated with the techniques studied so far y=lnx, 1<= x <=5
4.15 Show that this theorem 1 is sharp, that is, show that for infinitely many n>=3 there are non-hamiltonian graphs G of order n such that degu+degv>=n-1 for all distinct nonadjacent u and v. Can you explain this theorem,please Theorem1: If G is a graph of order n>=3 such that for all distinct nonadjacent vertices u and
4.12 a) Prove that K_r,2r,3r is hamiltonian for every positive integer r. b) Prove that K_r,2r,3r+1 is hamiltonian for no positive integer r. (K_r means k sub r) Can you explain how is the graph K_r,2r,3r, what do subindices r,2r and 3r mean? Can you explain it step by step and draw a graph,plea
At Dot Com, a large retailer of popular books, demand is constant at 32,000 books per year. The cost of placing an order to replenish stock is $10, and the annual cost of holding is $4 per book. Stock is received 5 working days after an order has been placed. No backordering is allowed. Assume 300 working days a year. a)What
In the real world, what might be a situation where it is preferable for the data to form a relation but not a function? There is a formula that converts temperature in degrees Celsius to temperature in degrees Fahrenheit. You are given the following data points: Fahrenheit Celsius Freezing point of water 32 0 Boil
Consider the line y = -9x - 2. What is the slope of a line perpendicular and parallel to this line?
A line passes through the point (x,y) = (3,8) and has a slope of -6. Write an equation for this line.
What is the slope of the line: 2x = 4x -2
Graph the line y = -4
Find the slope of this line: (3, -6) (19, -20)
Graph the line with slope -3/4 through the pint (-5,-5) See attached file for full problem description.
4.4 Prove Let D be a nontrivial connected digraph. Then D is Eulerian if and only if od(v)=id(v) for every vertex v of D. Od means the outdegree of a vertex v of a digraph D. (is the number of vertices of D that are adjacent from v. id means the indegree of a vertex v of a digraph D.( is the number of vertices of D adjace
1.10 Let G be a self-complementary graph of order n, where n=1(mod 4) Prove that G contains at least one vertex of degree (n-1)/2 (hint: Prove the stronger result that G contains an odd number of vertices of degree (n-1)/2. Can you explain it step by step and draw a graph.
1.5 A nontrivial graph G is called irregular if no two vertices of G have the same degree. Prove that no graph is irregular.
1.2 Let n be a given positive integer, and let r and s be nonnegative integers such that r+s=n and s is even . Show that there exists a graph G of order n having r even vertices and s odd vertices.
3.17 Let v_1,v_2,...,v_k be k distinct vertices of a k-connected graph G. Let H be the graph formed from G by adding a new vertex of degree k that is adjacent to each of v_1,v_2,...,v_k. Show k(H)=k. k(G)=is the vertex connectivity
3.16 Determine the connectivity and edge-connectivity of each complete k-partite graph. Can you explain it step by step and draw a graph.
Graph the line - 8x + 9y = -13.
For the equation below, use the y = mx + b form to find the line it expresses: 2x - 4y = -1?
Find both the X-intercept and the Y-intercept of the line given by the equation - 9x + 4y + 13 = 0
Show that the graph of the dodecahedron is hamiltonian. Please can you explain this step by step and can you draw a graph.