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Graphs and Functions

Laurent expansion

(See attached file for full problem description) --- Find the Laurent expansion for ? centered at z=0 ? centred at z=3 ? centred at z=3 ---

Graphs and Linear Functions

Please see the attached file for the fully formatted problems. --- - How do I find the formulas with substituted values and show the final calculated answer with units? - I have also highlighted in yellow what needs to be shown for each problem. 1) a) How do I identify the graph of the function (line, parabola, hype

Polar and Parametric Equations : Eliminate the parameter to find a cartesian euqation of the curve; sketch the curve with the given polar equation. Show the equation for the sketch.

1,2,3) a) Sketch the curve by using the paramtric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases. b) Eliminate the parameter to find a cartesian euqation of the curve. 1)x = 3t-5, y=2t + 1. Part a is just making a table using t and solving for x and y, but whe

2 Short Problems

Please find the problems attached. (See attached file for full problem description) Use implicit differentiation to find the slope of the tangent line to the curve at the point . ANSWER IS NOT -3/5! Identify the graphs A (blue), B( red) and C (green) as the graphs of a function and its derivatives: i

Cost, Revenue and Profit Functions and Break-Even Points

3. Antonio would like to invest $5,000. He has the choice of two accounts, one that pays 2.3% compounded continuously or the other that pays 2.5% compounded quarterly. Which account would yield the higher return? 4. A manufacturer of tennis shoes is planning a new line of shoes. For the first year, the fixed costs for setting

Data table and graph for function with 4 parts

A specialty-freezer company has determined that the operating costs at one of its plants can be approximated by the function: C = 0.35N2 - 20N + 2000 where C = daily operating cost (dollars) and N = daily production (freezers). a. Create a data table and graph of this function between N=0 and N=100 freezers. Use a

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?

Applications of Graphs and Functions : Cost Functions and Graphing

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 $3.75 per month for each

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).

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

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 Functions

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.

Consider the line...

(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 ---