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# Graphs and Functions

### Conformal Mapping : Semi-Infinite Strip

Please see the attached file for the fully formatted problems.

### Graph, Factor and Solve Equations

Graph: 4x + y >= 4 Solve: (x - 10)(x + 9) Factor: 10r3s2 + 25r2s2 - 15r2s3 Factor : 3x2 + 7x + 2 Solve - factoring: x2 - 2x - 3 = 0

### Vertical and Horizontal Asymptotes

Here is a question on finding the vertical asymptotes g(x)=x+3/x(x-3) Can you show me a horizontal asymptote as well? f(x)=12x/3x^2+1.

### Multiplying and Dividing Terms and Finding the Y-Intercept

Multiplying and dividing terms [ (6x^ 2Y^3) (9X 2Y^3)] / (3X ^ 2Y ^ 2) Find the y intercept y= 5X - 2.

### 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

### Find the midpoint of a segment.

What are the coordinates of the midpoint of a segment whose endpoints are (9,12) and (-12,-9)?

### 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.

### Bounded Function : Signed Baire Measure

Show that each bounded function F of bounded variation gives rise to a finite signed Baire measure v such that v (a,b] = F(b+) minus F(a+)

### Heart Disease, Cancer and AIDS : Plotting Graphs and Defining Functions

I have found the number of deaths in the United States due to each medical condition in each of the following years. 1985 1990 1995 2002 Heart Disease 390,000 720,000 850,000 960,000 Cancer 200,00 505,000 547,000 555,000

### 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

### Graphing and Solving Quadratic Inequalities (3 Problems)

State the solution set using interval notation and graph the solution set. Please check these for me and graph them. I do not know how to use a graphing tool. If you also have any advice on how & what tool I can use to graph, it would be helpful. Please do not handwrite the Graphs because I can not view scanned photos

### Find the vertex and intercepts for each quadratic function, and sketch its graph.

Find the vertex and intercepts for each quadratic function, and sketch its graph. 49. 50. 53. 54. Please see the attached file for the fully formatted problems.

### 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.

### Find the Maximum or Minimum Value of y for each Function. (3 Problems)

Please see the attached file for the fully formatted problems. Find the Maximum or minimum value of y for each function. 34. Finding the Maximum Height Show on a graph 39.Maximum height. If a baseball is projected upward from ground level with an initial velocity of 64 feet per second, then its height is a funct

### Identifying the set that contains the given number

Define then; Let W = the set of whole numbers F = the set of (non-negative) Fractions I = the set of integers Q= the set of rational numbers R =the set of real numbers Question List all of the sets that have the following properties. (a) 5 is an element of the set(s)? (b) -1/2 is an e

### 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?

### Separation of variables

Please show each step of your solution. When you use theorems, definitions, etc., please include in your answer. If there is anything unclear in the problem, let me know. Thank you. Solve....in the square 0<x<2, 0<y<2 by separation of variables... (See attachment for full problem)

### Asteroids 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?

### Equilibrium Point: Price-Supply and Price-Demand Equations

At a price of \$1.90 per bushel, the annual U.S. supply and demand for barley are 410 million bushels and 455 million bushels, respectively. When the price rises to \$2.70 per bushel, the supply increases to 430 million bushels and the demand decreases to 415 million bushels. A. Assuming that the price-supply and the price-dem

### 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?

### Diffusion Equation : Compute the first three 'lines'

Please see the attached file for the fully formatted problems.

### Initial-Value Problem with Graph : Laplace Transformations

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

### Graphs of straight lines , parabolas , hyperbolas and circles

Different equations are given on the attached paper and their graphs are to be drawn.

### Gradient: two scalar point functions

Important Formulas and their Explanations (II): Gradient, Divergence and Curl Gradient of the differnece of two scalar point functions.

### Finding Values that Make a Function Differentiable Everywhere

Let f(x) ={ x^2 x &#8804;2 {mx + b, x > 2 Find the values of m, b that make f differentiable (everywhere). See the attached file.

### Stirling's Approximations and Growth Rate of Functions

Function A Function B (n^2) ! n^n is A=O(B) ? Yes/No is A=o(B) ? Yes/No is A=Big Omega(B) ? Yes/No is A=Small Omega(B) ? Yes/No is A=Theta(b) ? Yes/No.

### 20 Problems : Solving equations, graphing equations, finding domains, simplyfing and determine the inverse of f using switch and solve strategy

Please see the attached file for the fully formatted problems. Includes: Solving equations, graphing equations, finding domains, simplyfing, determine the inverse of f using the switch and solve strategy. Thanks for your help!