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# Graphs and Functions

### Problems involving a vertical line

A) Explain why the line x = 5 is a vertical line b) Why y = -5 is a horizontal line. c) Write an equation of a line in the form of y=mx + b with a negative slope. d) Write an equation of a line in the form of y=mx + b with a positive slope.

### Decision Analysis Problem

A firm is faced with the attractive situation in which it can be obtain immediate delivery of item it stocks for retail sale. The firm has, therefore, not bothered to order the item in any systematic way. However, recently profits have been squeezed due to increasing pressures, and the firm has retained a management consultant

### Graphing linear equations and applications

1. The following table shows the number of hours five car salespeople worked and the number of cars they sold. Using Excel, plot each point on the same graph where the first coordinate is the number of hours and the second coordinate is the number of cars sold (hours, cars). After plotting each point, explain if there is a linea

### Graphing linear equations and applications

The number of arrests y of a city over a period of time x is graphed on a rectangular coordinate system. Write a paragraph describing your interpretation when the slope is positive, zero, and negative. If you were buying a home in this particular city, which slope would be most attractive to you and why?

### Graph functions

Graph the following functions. y=2x-1 y=(-3/4)x+5 y=x^2-4 y=3x^2-6x-5 Label each axis and all intercepts

### Graphs & Functions: Real Life Applications

Please help with this paper: Write a short paper describing a graph or a series of graphs that would represent a real life situation or problem from your own life. -Provide some examples of real life situations that graphs could be used to represent.

### Graphs and Functions

Answer following questions showing your work for all problems. Part I Describe in words the graph of each of these curves below. Include in your description the shape, along with other possible relevant information such as length, width, and center points. a. Y = 3X2 b. (X-1)2 + (Y-8)2 = 16 c. (X+2)2 + (Y-4)2 =

### Functions

Exercises on Functions Answer the following questions: 1. What is a function? 2. What is a linear function? 3. What form does a linear function take? (I.e., What is the standard mathematical notation of a linear function?) 4. What is the formula for determining the slope of a line? 5. Which of the followin

### graph of the constraints

A set of contraints for the profit formula P=5x+2Y are given. a) Draw the graph of the constraints and find the vertices of the feasible region. b) Use the vertices to determine the maximum and minimum profit. X+Y is Less than or equal to 5; X is more than or equal to 0 X-2Y is less than or equal to 6; Y is more tha

### Parabolic Graph

Define an intercept in a parabolic graph. What are the number(s) of intercepts a quadratic graph may have? Explain your answer/ diagram etc. How do you compute the intercepts in a quadratic function? Provide three real world applications of a parabola and explain its importance to our daily life.

Please also give Matlab solutions to the following problem. Find the Pade approximation R_(5,4) (x) for f(x) = sin x. Plot the following graphs: i) Comparison of R_(5,4) (x) versus f(x) = sin x, and ii) the error E(x) = |R_(5,4) (x) - sin x|, each on interval [-PI, PI].

### What are the coefficients of the dual objective function?

28. A toy making company has at least 300 squares of felt, 700 oz of stuffing, and 230 ft of trim to make dogs and dinosaurs. A dog uses 1 square of felt, 4 oz of stuffing, and 1 ft of trim. A dinosaur uses 2 squares of felt, 3 oz of stuffing, and 1 ft of trim. It costs the company \$1.09 to make each dog and \$1.30 for each dino

### Graphing, Inequalities, slopes, Variables, and Elimination

Please see attached. help with homework. equation, graphs.

### Statistics problems: Correlation and linear regression

See attached file. Section 9.1 : Correlation Section 9.2: Linear Regression Total points are 40. Points are included with each problem. Included with each section or problem are reference examples and end of section exercises that can be used as a guide. Be sure to show your work in case partial credit is awarded. To re

### Simplifying expressions and solving word problems

1.Evaluate. 2.Simplify the following expression: . 3.Solve for  . Simplify your answer as much as possible. 4.Solve the inequality for  . Simplify your answer as much as possible. 5.On Wednesday, a local hamburger shop sold a combined total of hamburgers and cheeseburgers. The number of cheeseburger

### Expressing the Area of a Rectangle as a Quadratic Function

Express the area of the rectangle (i tried to make one below) as a quadratic function of x, and also, for what value of x will the area be a maximum? This is supposed to be a rectangle: |||||||||||||||||||||||||||||||||||| |||||||||||||||||||||||||||||||||||| 11-x ||||||||||||||||||||||||||||||||||||

### One-To-One Functions and Inverses

1) Which of the given functions is a one-to-one function? Select all that apply g(x)=2sqrt(x+5) g(x)=5x^2-2 h(x)=x^4+5 f(x)=Abs(x) f(x)=-5x+2 2) Which of the given functions is a one-to-one function? Select all that apply g(x)=3sqrt(x) f(x)=-2x+3 g(x)=2x^2-3x f(x)=1/x h(x)=x^4+5 3) Assume that f is a one to one f

### The answer to Fixed-point iteration

If the fixed-point iteration is applied to the function F(x) = 2 + (x-2)^4, starting at x = 2.5, what order of convergence results? Find the range of starting values for which this fixed-point iteration converges. Note that 2 is a fixed point. Please provide as much detail as possible so that I can understand how the solu

### Why do you think different polls got such a wide range of estimates of Bush's lead in the polls, ranging from a 12% lead to a 4% lead? What sampling techniques would you use to get the most accurate estimate of which candidate would win on election day?

Prior to the November, 2000 presidential election George W. Bush had a comfortable lead in the polls. But on election day Bush ended up losing the popular vote by a small margin (although winning the electoral vote). Read the following article below written before the election: Larry Kudlow (2000) The Weak-End of Polling,

### Ruler function

5. Every rational x can be written in the form x = m/n, where n > 0, and m and n are integers without any common divisors. When x = 0, we take n = 1. Consider the function f defined on the reals where f(x) = 0 when x is irrational and f(x)= 1/n when x =m/n a, prove that f(x) is continuous at every irrational point and discon

### Rearranging equations for two particles

The magnitude (size) of the force, , between two charged particles a distance apart is given by the equation below. Ke is a constant. Rearrange this equation to make Ke the subject. F = Ke Q1 Q2 r2 The answer should not include any brackets and should use super/sub script w

### Draw a graph with numbered and directed edges.

Problem 6. (a) Draw a graph with numbered and directed edges (and numbered vertices) whose incidence matrix is A =[ -1 1 0 0 -1 0 1 0 0 1 0 -1 0 0 -1 1] (b) Is this graph a tree? (c) Show that removing the last edge produces a spanning tree. (d) The remaining rows are a basis

### vector, parametric, and symmetric equations

Write vector, parametric, and symmetric equations for the Line L if A) L passes through A(1,2,3), L || v= <-1,1,4>. B) L passes through A(1,2,3), and B (4, 6, 7). Also, write an equation for the segment from A to B.

### Height of a Candle after 12 Hours

The height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. When graphed, the function gives a line with a slope of -0.5. See the figure below. Suppose that the height of the candle after 18 hours is 19 centimeters. What was the height of the candle after 12 hours?

### Graph and Functions

Write a short paper describing a graph or a series of graphs that would represent a real life situation or problem from your own life. An example might be a graph of your personal spending habits throughout the year, or the amount of time you spend watching TV each day of the week. Describe this graph in words and provide a co

### Linear Relations Slope of Line

1) If x varies directly as y, and x=20 when y=4, find x when y=6 2) Find the slope of the line that goes through the given points. (-3,5) and (2,-10) choices: The slope is ?. (simplify answer. type interger of fraction.) or The slope is undefined 3)a parking garage charges \$2.21 for the first hour and \$0.50 for

### Graph versus Equation

Question Linear relationships between two quantities can be described by an equation or a graph. Which do you think is the more informative? Why? Please answer in the simplest terms possible, I am trying to understand this stuff.

### The Velocity of a Particle in Space

1. Sketch the following surfaces and identify by type ( hyperboloid, ellipsoid, etc.). (a) 4x^2 + 9y^2 + 4z^2= 36 (b) z= x^2 + 4y^2 2. The velocity of a particle in space is given by v(t)= (e^t)i+(sin2t)j + (t^2)k. Find the particle's position as a function of t if r(0)= i + j.

### Evaluating the Revenue Function

Question: If a vendor charges p dollars each for rugby shirts, then he expects to sell 2000 - 100p shirts at a tournament. a) Find a polynomial R(p) that represents the total revenue when the shirts are p dollars each. b) Find R(5), R(10), and R(20).

### Uniform convergence of functions

1.Show that if a>0, then the convergence of the function nx/(1+n^2 x^2) is uniform on the interval [a,infinity), but is not uniform on the interval [0,infinity). 2. Show that if b is greater than 0 and less than 1, then the convergence of the function x^n/(1+x^n) is uniform on the interval [0,b] but is not uniform on the interv