### Ellipses, Hyperbolas and Parabolas : Vertices, Foci, Polar and Parametric Form and Eccentricity

1.Determine the vertices and foci of the graph of x^2 y^2 ---- - ---- = 1. 16 35 As an example. Answer should look like (0, +-4/9) Veertices

Explore BrainMass

- Anthropology
- Art, Music, and Creative Writing
- Biology
- Business
- Chemistry
- Computer Science
- Drama, Film, and Mass Communication
- Earth Sciences
- Economics
- Education
- Engineering
- English Language and Literature
- Gender Studies
- Health Sciences
- History
- International Development
- Languages
- Law
- Mathematics
- Philosophy
- Physics
- Political Science
- Psychology
- Religious Studies
- Social Work
- Sociology
- Statistics

- Mathematics
- /
- Algebra
- /

1.Determine the vertices and foci of the graph of x^2 y^2 ---- - ---- = 1. 16 35 As an example. Answer should look like (0, +-4/9) Veertices

See the attached file. 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

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

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,

For the function y = x2 - 6x + 8, perform the following tasks: a)Put the function in the form y = a(x - h)2 + k. b)What is the line of symmetry?

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

(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

(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

What can the line graph, a parabola graph, a hyperbola and an exponential graph be used for. In real life applications. Example: A line graph can be used for instrument calibration

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

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.

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.

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

You have been invited to present statistical information at a conference. To prepare, you must perform the following tasks: 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.

For the function y = x2 - 4x - 5 How do I put the functionin the from of y = x2 - 4x - 5? and what would the line of symmetry be?

For the function y= 1/x-1 Give the y values for x=-2,-1,0,1,2,3?

A revenue function is R(x) = 22x and a cost function is C(x) = -9x + 341. The break even point is: A. (17, 374) B. (242, 9) C. (11, 242) D. (31.5, 661.5)

Problem: The equation of the line through (8,6) and (2,-4) is A. 5x-3y = 22 B. y=3/5x = 8/5 C. 3x=4y = 48 D. -4x = 2y = -16

Problem: f(x) = (x+2)(2x-3). f(-2) = A. 0 B. 4 C. -6 D. -14

1. Let A and B be two nonempty sets of real numbers. Define A+B = {a+b: a belongs to A and b belongs to B}. (a) Show that if A is open, then A+B is open. (b) If A and B are both closed, is A+B closed? Justify your answer. 2. Let f be differentiable for x > a and A as x --> infinity. Prove that there is a sequence x_n --> infi

Find the total length of the polygonal line segments joining the points (xi, f(xi),i=0, 1,...,n, zwhere a= x0,x1,... xn=b is a regular partition of (a,b). use the indicated values for n (1) f(x) = sqrt x, a=0,b=4 (a) n=2, (b) n=4 (2) f(x) = sin^2 x, a=0, b= 2pi (a) n=2 (b) n=4 (c) n=8 (3) Use a y integration to find

(See attached file for full problem description with proper equations and diagrams) --- Graphical solution procedure Please help solve this linear problem in the attachment using the graphical solution procedure & graph the feasible region: Solve the following linear program using the graphical solution procedure: M

6. Recall that R^3={(x,y,z):x,y,z(subset of R)}. Let G(V,E) be a directed graph, in which V= {(x,y,z)-(subset of R^3) :x,y,z(subset of R),-10<=x,y,z<=10}. Suppose that for any vertex, v=(x,y,z)--[subset of V], the only edges originating at v are the ones joining v to (x+1,y,z),(x,y+1,z),(x,y,z+1) . i.e. any path that originate

20. At what points does the graph of y = x^2 - 3x -10 cross the x-axis 21. What are all of the intercepts of the graph of y = 15x^2 + 89x - 6? 22. What are all the intercepts of the graph of y = 2x^2 - 11x + 5? 23. What are all the intercepts of the graph of y = 6x^2 + 13x + 6? 24. What are all the

1. For medical purposes the level of sugar was measured in blood (in mg/dl). The samples were taken with 1 2hr increments, as the following table shows: initial sample 96 mg/dl after 30 min. 133 mg/dl after 60 min. 142 mg/dl after 90 min. 81 mg/dl after 120 min. 87 mg/dl Graph in MATLAB sugar curves corresponding to thes

1. If U.S. Treasury yields are as follows: 3 month 6.0% 6 month 6.3% 1 year 6.5% 2 year 6.6% 5 year 6.4% 10 year 7.5% 30 year 8.0% a. What is the expected yield on notes from year 1 to 2, assuming the PEH holds? b. What is the expected yield on notes from year 2 to 5, assuming th

(See attached file for full problem description with equations and diagrams) --- 1. Simplification of linear algebraic expressions and expressions with fractional coefficients and solve x; 2. Solving simple linear equations with fractional coefficient: 3. Solving inequalities with fractional coefficient: 4.

The parabola y= x^2+4 has two tangents which pass through the point (0,-2). One is tangent to the parabola at (a, a^2+4) and the other at (-a, a^2+4) where a is a certain positive number. The question is a=?

See attached file for full problem description with equation. --- Find analytically the solution of this difference equation with the given initial values: Without computing the solution recursively, predict whether such a computation would be stable. (Note: A numerical process is unstable if small errors made at one

(a) Suppose the graph in Figure 4.1.78 is that of a function g(x). Sketch the graph of the derivative g; (b) On the other hand, suppose the graph above is that of the derivative of a function f. For the interval ..., tell where the function f is (i) increasing; (ii) decreasing. (iii) Tell whether f has any extrema, and if so