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Graphs and Functions

SPSS for Managerial Problem

Case 3: Justifying An Increased Line of Credit 1. A monthly regression analysis is to be conducted using monthly data for each demand variable. Formulate your empirical model using the additive functional form. 2. Using economic theory what are the hypothesized signs of parameters in the demand model. 3. Interpret your

Parabolas : Intercepts, Vertex and Line of Symmetry

Use f(x)=-2(x+3)^2+4 to find the following values. Round any answers to two decimal places. You must show work for each answer choice or provide justification. 4a. y-intercept as an ordered pair. 4b. Determine the axis of symmetry written as an equation. 4c. Vertex as an ordered pair? 4d. Domain, in interval

Equivalence relations, surjective maps, partitions and fibers.

Consider any surjective map f from a set X onto another set Y. We can define a relation on X by x_1 ~ x_2 if f(x_1) = f(x_2). Check that this is an equivalence relation. Show that the associated partition of X is the partition into "fibers" f^(-1) (y) for y in Y. I would like to understand what this question is asking me a

Monte Carlo Methods : Cumulative Density Function

Show that if the value of a variable x is selected by inverting the cdf (cumulative density function), x = F^-1 (RN), the distribution of the x values is given by the function f(x). See attached file for full problem description.

Graph Theory, Necessary and sufficient condition digraphs to be Eulerian.

Page 90, Theorem 4.6 ( To show that a digraph is hamiltonian if and only if for each vertex v, indegree (v) =outdegree (v) Page 92 Exercise problem 4.1 ( A modified version of konigsberg problem where, two extra bridges are built. ) Page 93, Figure 4.5 need to show as Hamilton. (Show that dodecahedron is hami

Evaluating and Graphing Functions and Trigonometry Word Problems

(1) For the function: (see attached) a) Give the y values for x = -1, 0, 1, 2, 3, 4. b) Using these points, draw a curve. (2) For the equation , perform the following: (a) Solve for all values of x that satisfies the equation. (b) Graph the functions y = x and on the same graph (by plotting points if necessary). Sho

Parabola equation

Explain why it is not necessary to plot points to graph when using y = a(x - h)^2+ k.

Graphing Linear Equations an Geometry of Coordinate Points

Please see the attached file for the fully formatted problems. Write the equation of the line with given slope and y-intercept. Then graph each line using the slope and y-intercept 1. Slope: -2; y-intercept: (0, 4) 2. Slope: 5; y-intercept: (0, -2) 3. Slope: ; y-intercept: (0, 8) 4. Find the slope of any line pe

Identifying Graphs: Domain and Range

Identify the attached graphs and give the domain and range for each graph. See the attached file for the full problem description and diagrams of the graphs.

Derivatives and Rate of Change Word Problems: Motion and Relative Speed

1.A body has an a equation of motion measured in metres after t seconds such that s=4t3-14t2+40t+8. a) When and where is the body momentarily at rest? b) For what time interval is it moving forward? c) During what times is its acceleration negative? d) Draw three separate graphs for acceleration, velocity, and displaceme

Curve Sketching

1. Draw a sign graph to determine where the following function is increasing or decreasing. Identify all stationary points. y=2x^4-4x^2+1 2. Find the intervals where the following curve is concave up or down. Also find the coordinates of any points of inflection. y=2x^3 - x^2 +3x+5 3

Graph Coordinates : Scatterplot

Years (t) A = (1.10)t amount after t years (A) 0 A = (1.10)(0) 1 1 A = (1.10)(1) 1.1 2 A = (1.10)(2) 1.21 3 A = (1.10)(3) 1.331 4 A = (1.10)(4) 1.4641

Graphing Surfaces

Sketching Functions. Only circled questions. See attached file for full problem description.

Comparing Equations of Lines

1.For the pairs of lines defined by the following equations indicate with an "I" if they are identical, a "P" if they are distinct but parallel, an "N" (for "normal") if they are perpendicular, and a "G" (for "general") if they are neither parallel nor perpendicular. 3x + 4y + 5 = 0 and y = - 3 4 x - 54 . x = 2 and y = p

Vectors : Linear Combinations and Spans

Please see the attached file for the fully formatted problems. 1) Determine if b is a linear combination of , . 2) List five vectors in span { }. For each vector, show the weights on used to generate the vector and list the three entries of the vector. Do not make a sketch. a) b) 3) Let For what

Critical Points

Let f(x,y)=((x^(2)y^(2))/(x^(2)+y^(2))), classify the behavior of f near the critical point (0,0).

Graphs : Hyperbolas and Parabolas

Given the graph, 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. See attached file for full problem description.