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Graphs and Functions

Graph the linear equation

Graph the linear equation for the indicated values of the independent variable.Show this on a Graph as well as the formula V=50n + 30, 0.1<= n <= 0.9

Minimum spanning tree

Hi. Is the statement below TRUE or FALSE. Why? Question : I have a connected weighted undirected graph G with a minimum spanning tree T. If I increase the weight of one edge, the new minimum spanning tree T' of the new graph G' differs from T in at most one edge.

Prove functions

(See attached file for full problem description) --- 1) a. Let f be defined on [a, b] by f(x) prove directly that f is measurable b. let E be measurable subset of R, and let f be measurable function on E Define the function f and f on E as follows: f (x) = max { f(x), 0}, and f (x) = max{ -f(x), 0}, 1b. prove direc

Business - monthly revenue achieved by selling x boxes of candy...

The monthly revenue achieved by selling x boxes of candy is figured to be x(5 - 0.05x) dollars. The wholesale cost of each box of candy is $1.50. a) How many boxes must be sold each month to achieve a profit of at least $60? b) Using a graph in utility, graph the revenue function. c) What is the maximum re

Constructing an Open Box : Writing Functions and Calculating and Minimizing Area

A open box with a square base is required to have a volume of 10 cubic feet. a) Express the amount A of material used to make such a box as a function of the length x of a side of the square base. b) How much material is required for a base 1 foot by 1 foot? c) How much material is required for a base 2 feet by 2 feet? d) Gr

Demand Equation : Writing a Revenue Function and Maximizing Revenue

Demand Equation The price p and the quantity x sold of a certain product obey the demand equation x=?20p+500 0 &#8804; p &#8804; 25 (a) Express the revenue R as a function of x. (b) What is the revenue if 20 units are sold? (c) What quantity x maximizes revenue? What is the maximum revenue? (d) What price should the company

Graphing and Solving Rational Inequalities

Solve each rational inequality. State and graph the solution set. 23. 24. Solve the inequality. State the solution set using interval notation. 56. Please see the attached file for the fully formatted problems.

Functions and Graphs

Trying to find the number of deaths in the United States due to each of the following medical conditions in each of these years; 1985, 1990, 1995, and 2002. heart disease, cancer and aids. How do I plot the data for each disease as points in a rectangular coordinate system? I must connect the data points. Using a curve how

Solving Quadratic Inequalities (5 Problems)

Solve each inequality. State the solution set using interval notation and graph the solution set. 11. 14. 16. Solve the Rational inequality. State and graph the solution. 26. Solve the inequality. State the solution set using interval notation. 55.

Relations, Functions and Reversal of Variables : Real World Applications

In the real world, what might be a situation where it is preferable for the data for form a relation but not a function? All I found was Edgar Cobb who invented the relational module while working at IBM in the late 1960's. Am I on the right track? Help? When might a reversal of variables be useful in the real world?

Astroids and Tangent Lines

The graph of x^(2/3) + y^(2/3) = 1 is an astroid. How can I find the equation of the tangent line at (1/8, 3&#8730;3 /8). Are there any points on the curve at which no tangent line can be defined? Could you also explain?

Guido paces 24m along the bank of a river from Point A to Point B

I have no clue on how to go about answering this question. Could somebody please tell me how to. 1. Guido paces 24m along the bank of a river from Point A to Point B. He then measures Point B to Point C to be 8m long. If Point C to Point D measures 5m, how wide is the river?

Initial-Value Problem with Graph : Laplace Tranformations and Partial Fractions

For t>0, let F(t) be the Phi-periodic function which on [0,pi] has the graph attached to this problem. a) Solve the IVP y"+4y=F(t) y(0)=0=y'(0) b) Graph the solution on the interval [0,3pi] c) Discuss the behavoir of the solution in relation to the equation. For the solution please use Laplace transformations and partia

Cell Referencing in Excel and Computing Future Value Function

Create a table in Excel, that represents the Future Value (F) function. F=Pe^(rt) Where F the Future value ($) is a function of time, t, in years. P is the present value. r is the continuous growth rate. e=(approx.) 2.7183 The table should have inputvalues of 0-20 years. You should be able to get a new table by chan