### Unit Vectors Tangent and Normal to a Curve

Find the unit vectors that are tangent and normal to the curve at the given point: (four vectors in all). 4x² + y² = 16 , (√2, -2√2)

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
- /

Find the unit vectors that are tangent and normal to the curve at the given point: (four vectors in all). 4x² + y² = 16 , (√2, -2√2)

Complex analysis (See attached file for full problem description)

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

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

How do I explain how the curves of conic sections can be created geometrically? Can you tell me if a conic section is considered to be a function?

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

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

Identify the graphs A (blue), B( red) and C (green) as the graphs of a function and its derivatives: is the graph of the function is the graph of the function's first derivative is the graph of the function's second derivative Enter a T or an F in each answer space below to indicate whether the corresponding equation

Could you please provide me with 10 or 15 practice questions for an upcoming GMAT test that focus on the Problem Solving portion of the exam?

1.) Find the vertex, focus , directrix of the parabola and sketch its graph y+ 12x - 2x^2 = 16 2.) Sketch the curve by using parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases x= 2 cos t, y= t- cos t, (0 (</=) t (</=) 2 pi)

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

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

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,

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?

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?

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

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).

Please help with questions, 2, 10, 12, 14, 20, 24, 32, 36 (See attached file for full problem description)

(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) Please help with the following questions: 2, 10, 12, 16, 22, 30, 36, 50, 52, 56, 58, 60 and 64

(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

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.

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

Let f(x) = 3x2 + x + 12 Find f(0); f(√5); f(1 + √5)

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.

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.

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.

(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 ---