Prove that a nontrivial connected digraph D is Eulerian if and only if E(D) can be partitioned into subsets E_i , 1<=i<=k, where [E_i] is a cycle for each i. <= means less and equal. Please can you explain this step by step and can you draw a graph.
Graph the line 9x + 5y = -17 Please make the points visible so I can see them. See the attached file for the full problem.
Graph the inequality: y< -1
Find an equation of the tangent plane to the parametric surface x = 5rcos(theta), y = 3rsin(theta), z = rat the point (5sqrt(2), 3 sqrt(2), 2) where r = 2 and theta = pi/4.
Let n >= 2 be a number. Define the graph L2(n) as follows: Vertices are ordered pairs from the set {1, ..., n}. Two vertices are adjacent if they have the same first coordinate, or the same second coordinate (but not both). Show that this is a strongly regular graph, and find its parameters.
(a) If X is a Poisson random variable with parameter lambda, show that E[x^n] = lambda(E[(x+1)^(n-1)]) (b) Use this result to compute E[X^3]
Relate the application to the specific graph (line, parabola, hyperbola, exponential). Describe the characteristics of each application as related to the graph. All of the graphs in this lesson occur in real life. Using the Cybrary, web resources, and other course materials, find a real-life application of each graph. ? R
F(x) = {x if 0<= x <=1} {2-x if 1< x <=2} {0 if x > 2} Define a new function g, whose domain consists of all numbers x such that 0 ≤ x ≤ 4, and whose value g(x) for such x is given as follows: g(x) = the area between the graph of the function f and the horizontal axis from 0 to x. Problem: Find a f
Let G be a graph of diameter at least three. Can you find an upper bound on the diameter of the complement of G? Prove your findings! Let G be a connected graph and sq(G) be a graph which contains all vertices and edges of G and moreover edges joining every pair of vertices that were in G at distance 2. In other words, xy is
Graph, on the number line, all points X for which Mod(X-3)<=3 See attached file for full problem description.
1. Disease 1985 1990 1995 2002 Heart Disease 771169 720058 737563 696,947 Cancer 461563 505322 538445 557,271 2. a. Plot this data for each disease as points in a rectangular coordinate system. b. Using a smooth line, connect your data points for each disease. c. On a separate graph, plot only the years
Find the slope of the line that goes through each pair of points: (-5, -2) and (-2,1). What is the steepness of the line? (i.e. 3 units up and 5 units right)
Please find the derivative of the function y = sinh(3x +5)
Determine the equation of the line. Write the answer in slope-intercept form. 52. The line through (4,0) that is perpendicular to the line x + y = 3
Consider the line -3x - 4y = 5. Questions: What is the slope of a line parallel to this line? What is the slope of a line perpendicular to this line?
Can you find the slope of the following line? Make sure to show all of your work in a clear manner. What is the slope of the line 5x - 3y = 2?
How do you find both the x-intercept and the y-intercept of the line given by the equation: 7x - 5y - 6 = 0
Find the y-intercept of the line whose equation is y= -1/3x- 16/7
Graph the line 5x+9y = 12
Solve for the following: Graph the line: 7x+6y-14=0 Try to solve using Excel.
Graph the line with slope -5 passing through the point (-3, 3). keywords: lines, slope, intercept
(1) Let G be a simple graph with no isolated vertex and no induced subgraph with exactly two edges. Prove that G is a complete graph. (Please read carefully the definition of an induced subgraph before you attempt to solve it!). Simple graph is a graph with no loops or multiple edges. K_1 is also a tree. (2) Let v be a c
What are the cylindrical coordinates of the point whose rectangular coordinates are x = - 4 , y= 2, and z = 4 ? r = (20)^(1/2) theta = z = 4 *need help finding theta in radians*
Suppose that f is an positive-valued, increasing function on the interval from x = 0 to x = 4, and that we use the method of rectangles to approximate the area between the curve and the x-axis. If we use the usual method of taking the right endpoint to be the height of each rectangle, then our approximation will be an _________
Find the equation of the line through each given pair of points. Write the answer in standard form using only intergers. (3, 5), (8, 15)
Write each equation in slope - intercept form. 2x + 3y = 90
Graph each equation. Plot at least five points for each equation. x + 4y = 5
Please help with the following problem. Please provide step by step calculations for each. A cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with dimensions 10 in. by 17 in. by cutting equal squares from the four corners and turning up the sides. (a) Find a mathematical model express
Graph the equation and identify the y- intercept 1. y = x + 3 2. 6x - 3y = 9 3. Find the absolute value. Erin left a 15% tip for a meal. The toal cost the meal, including the tip, was $21.16. What was the cost of the meal before the tip was added?
What do all the points on the vertical axis of a graph have in common? For each equation, find the intercepts. Then use the intercepts to graph the equation. 4x - 3y = 12 -3x = 6y -2 -3x + 12 = 0 Please see the attached file for the fully formatted problems.