Explore BrainMass

Explore BrainMass

    Graphs and Functions

    BrainMass Solutions Available for Instant Download

    Vertical Asymtotes, Holes and Horizontal Asymtotes

    For the rational function f(x)=[3x(x-1)]/[(x-1)(x+2)] a) Find each of these features, saying how you know in each case 1. Verticle asymptotes (if any) 2. Holes (if any) 3. Horizontal asymtotes (if any) b) Draw a neat graph of f(x), showing any asymptotes and/or holes appropriately.

    Euler's Phi Function

    Need detail on this problem (a) I= {4m+6n l m, n E Z} closest to (and including) 0. E=epsilon Z=integers (b)Show that the set I is closed under addition and multiplication (c)Use part (a) to find an mEZ such that I=mZ.

    Algorithms and Euler's Phi Function

    Prob.1 Algorithms and Euler's phi function Let I= { 4m+10nlm, n E Z} I= { 9m+10nlm, n E Z} I= { 15m+51nLm, n E Z} Use the Euclidean Algorithm. Let a>0 and b>0 be integers to find an aEZ such that I=mZ Z=integers E=epsilon I hope you can understand what I've written. If not let me know.

    Block Diagram of the System: Transfer Functions

    Please see the attached file for the fully formatted problems. Block diagram of the system: Where Open Loop Transfer Function Closed Loop Transfer Function = a) Find the stable range of gains b) Using MATLAB, plot: i. Bode plot (gain margin, phase margin) ii. Nyquist plot (gain margin, phase margin) iii. R

    Cost and Revenue Functions and Breaking Point

    1. A company that manufactures bicycles has a fixed cost of $ 100,000. It costs $ 100 to produce each bicycle. The selling price per bike is $ 300. a) Write the cost function, C. b) Write the revenue function, R c) Determine the breaking point. Describes what this means.

    Graphing, Slopes and Intercepts

    1. Give an example of a linear function and show at least one method of graphing it. By looking at the graph of a line, how can you tell if its slope is negative? What kind of line has a slope of zero and why? 2. Give an example of quadratic function and show at least one method of graphing it

    Functions : Domains, Transformations and Asymptotes

    MTH133 Unit 5 Individual Project - A Name: 1) Find the domain of the following: a) Answer: Explain how you obtained your answer here: b) Answer: Show your work or explain how you obtained your answer here: c) Answer: Explain how you obtained your answer here: d) Answer: S

    Domain and Range of a Function..

    1 Use the graph to find a reasonable estimate of f(-2). Graph is included in the attached document. 2 What is the domain of f (x) 3 What is the range of f (x) 4 Explain why f represents the graph of a function

    Measurable Functions in Every Number

    Please see the attached file for the fully formatted problems. Assume that f^(-1)(a, pos. infinity) is measurable and that E is measurable. True of False: 1) If is measurable, then is measurable because Both and are measurable. 2) for every real number c.

    Two applications of a rational functions

    Part 1: An application of a rational function is Young's rule, which approximates the dosage of a drug prescribed for children. a) Using the Library, web resources, and/or other materials, find the equation for Young's rule. State what each variable in the equation represents. Do not type the equation using the Equatio

    Equation of a Line: Two problems

    Write the equation of the line in BOTH point-slope and slope-intercept form. a) Slope= 4, passing through (1,3) b) Slope= -5, passing through (-4,-1)

    Solving and Graphing Equations

    A. Simplify B. Solve for x C. Find the x-intercepts of the graph of D. Name the x - and y - intercepts of 7x + 3y = 21 E. A contractor charges a customer $182, listing $56 for materials and the rest for labor. If the contractor charged 3 hours labor, what is the hourly rate for labor?

    Graphs and Systems of Inequalities

    11. Match the graph with one of the equations. a) y = x b) y = 3x c) y = d) y = x + 3 14. A small company produces both bouquets and wreaths of dried flowers. The bouquets take 1 hour of labor to produce, and the wreaths take 2 hours. The labor available is limited to 80 hours per week, and the total production

    Equation of a Tangent Line

    Write an eq. of the line tangent to the curve y = (5/x2) - (2/x3) at the point P(-1,7)? Express in ax+by=c form.

    Find a real-life application of a linear function.

    Part 2: Using the Library, web resources, and/or other materials, find a real-life application of a linear function. State the application, give the equation of the linear function, and state what the x and y in the application represent. Choose at least two values of x to input into your function and find the corresponding y fo

    MTH11 - Unit 1 Individual Project: Graphing, Trends and Forecasting

    1) Solve the following: a) 2x + 3 = 8 b) -5(x+2) + 3 = 5 c) 1/4(x) + 3/2(x) = 7 d) -5x + 1 > 11 2) a) Solve 5x + 4y = 12 for y b) When graphed, this equation would e a line. By examining your answer to part a, what is the slope and y-intercept of this line? c) Using your answer from part a, find the corresponding value

    Difference between Measurable Functions

    Please see the attached file for the fully formatted problems. Given: and and is measurable and is a null set. 1) Is zero except on the null set, true of false? 2) Where is a null set, true or false? I have been told that both 1 and 2 are true, but I don't understand why. Since the set {x: f(x)=g(x)} is null, it

    Graph the parabola

    Please assist with the attached problem. y = -1/4x^2 + x - 6 Identify the vertex and four additional points on each side of the vertex

    Graphing Parabolas

    Graph the parabola. -x^2 - 2x - 1 = 0 Identify and plot the vertex and four additional points, two on each side of the vertex

    Graph the Parabola

    Graph the parabola. y = 1/2 x^2 - 5 + 15/2 Identify and plot the vertex and four additional points, two on each side of the vertex