We define the floor function [[x]] to be the greatest integer not exceeding x. For example[]=4 [[2.37]]=2 [[-1]]=1[[-1.2]]-2 Sketch by hand the graph y=[[x]] by first tabulating the values pf [] for several numbers x. Then compare your graph with the plot from a graphing calculator. What are the discontinuities of f(x
Given f(x) = x^3 + x^2 - 5x +2, on what interval(s) is it decreasing?
Let G be a graph that is randomly eulerian from a vertex v. Show that if deg u = Delta(G)"max degree in G", then G is randomly eulerian from u.
Let F be a forest. Add a vertex x to F and join x to each vertex of odd degree in F. Prove that the graph obtained in this way is randomly Eulerian from x, and every graph randomly Eulerian from x can be obtained in this way.
Recall that a graph G is randomly Eulerian from a vertex x if and maximal trail starting at x in an Euler circuit. (If T = xx_1 ... x_l, then T is a maximal trail starting at x iff x_l is an isolated vertex in G - E(T).) Prove that a nonempty graph G is randomly Eulerian from x iff G has an Euler circuit and x is contained in ev
Give examples of eulerian grpahs that are randomly eulerian from exactly none, one, two or all of their vertices.
Let G be an eulerian graph of order n >= 3. Prove that G is randomly eulerian from exactly none, one, two or all of its vertices.
1) find the area of the enclosed region between the curve and the coordinate axes x^2/8 + y^2/6 =9 the graph is just the coordinate system with an ellipse draw over it, no numbers or letter are present 2) if f(x) =x^2 (x>=0) and f(inverse) = x^1/2, show that the slopes of the graphs of f(x) and f(inverse) are recipr
Quadratic Equations. See attached file for full problem description.
Differential Equations From Equilibria and the Phase Line.
The graph of a mapping f:X --> Y is a subset of the product X×Y. What properties characterize the graphs of mappings among all subsets of X×Y?
Topology Sets and Functions (XL) Functions The graph of a mapping f:X --> Y is a subset of the product X×Y. What properties characterize the graphs of
I need to understand how to find the vertex of a parabola two ways. Show examples
I do not understand how to conduct these equations I Excel so that I can show a graph of each. Choose a second-order/third-order (e.g., x2/x3) and a third-order/second-order (e.g., x3/x2) rational function. Provide a graph for the second-order rational function (e.g., x2), choosing x values in the range from -10 through +10.
A) Graph b) Draw tangent to graph @ points where x coord. are -2, 0, and 1 c) f(x) by determining Limit h>0 f^'(x+h) - f(x) / h d) f^' (-2), f^' (0), and f^' (1) (should meet slopes in part b) f(x) = 1/2 x^2
1. The following table shows the height of a tree as it ages. In Excel, plot each point on the same graph where the first coordinate is the age of the tree and the second coordinate is the height of the tree (age, height). After plotting each point, explain if there is a linear relationship between the age and height of the tr
Graph each function then find specified limits. Exist? f(x)=x^2 ; Find lim x--> -1 f(x) and lim x--->0 f(x)
Y= 2 √ (x + 1)
I need to graph the function and state its domain and range g(x)= x+2
I have to determine whether each relation is a function. x^2 = 1 + y^2
How do you graph linear inequalities with 2 variables.
Suppose the government mandated gasoline prices to remain constant at $4.26 per gallon everywhere across the country, restricting gas stations from increasing the price in the future. The law will take effect in 2012. Is there an equation that would illustrate the price of gas under the new law? Is there an equation that i
Find the intercepts, slope, asymptotes, relative maxima and minima, and intervals of increase or decrease of the function and plot it. f(x) = x^4 + 2x^3
Find an equation of the tangent line to the graph of the relation given by x2 - xy + y2 = 7 at the point (2, 3) . x + 4y - 14 = 0 4x + y - 11 = 0 11x + 4y - 34 = 0 7x + 3y - 23 = 0 17x + 8y - 58 = 0 none of these ∫ 3/x^2/5 dx = (15/2)x^
Please choose the correct answer and indicate final answer. 11. f(x) = (x + 4)^1/2. An equation for the tangent line to the graph of f(x) at the point where x = 77 would be x - 6y + 13 = 0 x - 8y + 20 = 0 x - 10y + 29 = 0 x - 12y + 40 = 0 x - 14y + 53 = 0 x
A jewelry floor safe with a square base is to be made so as to have a total volume of 648 cubic inches. The side material for the safe costs $1 per square inch. The material for the top costs $4 per square inch while the material for the bottom costs $2 per square inch. What, in inches, would be the height of the most economical
Find the x-coordinate of the points of inflection of f(x) = 47 + 13x + 18x^ 2 + 4x^ 3 - x^ 4 -3, 1 -1, 3 -3, -1 1, 3 -4, -1 1, 4 -4,1 -1, 4 none of these
See attached file for full problem description. 1. Apply the slope predictor formula to find the slope of the line tangent to y = f(x) = (2x + 4)^2 - (2x -4)^2. Then write the equation of the line tangent to the graph of f at the point (3, f(3)). 2. Find all points on the curve y = (x+4)(x-5) at which the tangent line is horiz
Write the equation of the line with slope -1/2 and y-intercept (0, 3). Then graph the line.
(u+23)^ 1/2 = 9 Graph 22) y =0.3x Since any real number can be used in place of x in y = 0.3x the domain is (-oo, oo) Since any real number can be used in place of y in y = 0.3x the range is (-oo, oo)
Solve the following system of linear inequalities by graphing. x - 2y ≥ 4 x ≤ 4