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    Graphs and Functions

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    Writing Equations and Functions from Word Problems

    You are managing a small assembly operation building toy cars. Due to increased demand, you need to hire an employee in addition to the two that are already building this line of toy assemblies. For the questions below, show all your work in deriving the answer (Total: 4 pts). a. Write a function for the time, T,

    Finding Curvature at a Point

    Given the vector: vector r(t) = t i + 1/2 t^2 j + 1/3 t^3 k What is the curvature at t = 1 and how do I calculate this?

    Graphing, Trends and Forecasting : Heart Disease and Cancer

    The following data was retrieved from www.cdc.gov. It represents the number of deaths in the United States due to heart Disease and cancer in each of the years; 1985, 1990, 1995, and 2002. Year Disease 1985 1990 1995 2002 Heart Disease 771169 720058 737563 696,947 Cancer 461563 5

    Graphing, Trends and Forecasting : Heart Disease and Cancer

    You have been invited to present statistical information at a conference. To prepare, you must perform the following tasks: 1. The following data was retrieved from www.cdc.gov. It represents the number of deaths in the United States due to heart Disease and cancer in each of the years; 1985, 1990, 1995, and 2002. 1. Year

    Applications of Graphs and Functions: Cost Functions and Graphs

    See the attached file. 11. A cable TV company charges a fee of $28.95 per month for basic service which allows the subscriber to get local channels. A fee of $5.95 per month is added to upgrade to premium service which allows the subscriber to receive a group of 65 channels. Subscribers with premium service are then charged $3

    Evaluating Functions at a Point

    Find each of the following for the function f(x) = -2x2 - 3. 4. Given the function f(x) = -2x2 - 3, identify the value of f(3). 5. Given the function f(x) = -2x2 - 3, identify the value of f(-2/3). 6. Given the function f(x) = -2x2 - 3, identify the value of f(0.57). See the attached file.

    Closed-Loop Transfer and Open-Loop Transfer Functions

    Consider a unity-feedback control system with the closed loop transfer function: C(s)/R(s) = Ks+b/s^2+as+b Determine the open loop transfer function G(s). Show that the steady-state error in the unit-ramp response is given by: e_ss = 1/K_v = a-K/b See attached file for equations in equation editor. Please use Micros

    Quadratic Equations : Solving, Graphing and Applications

    1) Using the quadratic equation x2 - 3x + 2 = 0, perform the following tasks: a) Solve by factoring. Answer: Show work in this space. b) Solve by completing the square. Show work in this space. c) Solve by using the quadratic formula. Show work in this space. 2) For the function y = x2 - 6x

    Graphs : Solution set

    (See attached file for full problem description) --- ? Identify the document by typing your full name and section number next to the yellow text. ? Rename the file by adding your last name to current file name (e.g., "u1ip_lastname.doc"). ? Type your answers next to the yellow text. ? To show your work, you will need t

    Algebra_Graphs and Functions

    (See attached file for full problem description) Questions are on graphs and functions. Eight different questions are answered. Most of them involve writing functions in slope intercept form. I have answered the following questions with great detail. Please see the attached pdf file for the question description. 2, 6, 1

    Observe the graph of the function

    Graphs of functions representing electricity used and the path of a ball thrown up are given and questions related to the behavior of the functions are to be answered.

    Forming Functions from verbal descriptions

    A power Station and a factory are on opposite sides of a river 60m wide. A cable must be run from the power station to the factory. it costs $25 per meter to run a cable in the river and $20 per meter on land. a. express the total cost C as a function of x the distance downstream from the power station to the point where the

    Graph Problem with Depth First Search and Breadth First Search

    Let G = (V, E) be a connected and undirected graph, and u is a chosen vertex in V. Suppose starting from u, exactly the same tree T is obtained using either breadth first search or depth first search. Prove that G = T, where T is the BFS or DFS tree.

    Transfer Function Loop Diagrams

    Obtain the transfer functions Y(s)/X(s) of the systems shown in Fig. 1 and Fig. 2 (see attached file). Please see the attached file for the fully formatted problems.

    Transfer Function

    Simplify the block diagram diagrams shown in Fig. 1 and Fig.2 (see attached file) and obtain the transfer function C(s)/ R(s). Please show steps. Thanks.

    Finding Equations of Lines

    (See attached file for full problem description with symbols and equations) --- Consider the line . Find the equation of the line that is parallel to this line and passes through the point . Find the equation of the line that is perpendicular to this line and passes through the point ---

    Solving Equations for Y

    Please help solve this function for y...I don't know where to start because there are two y^2 z=x^2+4X^2y^2-y^2 Please show all steps.

    Find the Domain and Find h(0) Given the Piecewise Function

    Find the domain of f(x). f(x) = [{(1)}/{radical (1-x)}] a) all positive real numbers b) all real numbers c) x >= 1 (greater than or equal to 1) d) x <= 1 (less than or equal to 1) e) x < 1 Find h(0) given the piecewise function h(x)={x if x <0 {x^2 +1 if x is greater than or equ

    Solving and Graphing Inequalities (8 Problems)

    Solve and graph the inequality : 3n is greater or equal -33 -7.2 is greater or equal x-4.6 2/5+h less tha 5/6 43is less or equal 4p-5 3/7x is greater than 9 16{1/4+m}less than 740 -1/4x +13 less or equal 27 8(2X-4)> -112 A rectangular parking lot has a perimeter of 249 m and a width of 38. What is the length of the

    Applications of Logarithmic Equations

    The viscosity of a liquid is a measure of its resistance to flow. Its value can be found experimentally by putting a quantity of liquid between two moving parallel plates and measuring the friction force on one plate. In such an experiment, values of the coefficient of viscosity of a lubricating oil were found at different tempe

    Mean Value of a Function Sketched

    Sketch the graph of y = cos x in the range -pi<x<pi. Hence, sketch the graph of y=|cos x| in the same range. Find the mean value of y=|cos x| in the range -pi<x<pi. See the attached file.