We can obtain a useful linear approximation of the function (x) = 1/(1 + tan x) at
Question:
We can obtain a useful linear approximation of the function ƒ(x) = 1/(1 + tan x) at x = 0 by combining the approximations
to get
Show that this result is the standard linear approximation of 1/(1 + tan x) at x = 0.
Transcribed Image Text:
1 1 + x 1 - x and tan x x
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (4 reviews)
The standard linear approximation of a function x at a point x ...View the full answer
Answered By
Anik Kumar Bosu
I am expert in Maths, Physics, Chemistry and Biology. I also teach student from 3 years. Students becomes satisfied by my teaching. So, do not worry.
0.00
0 Reviews
10+ Question Solved
Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
Question Posted:
Students also viewed these Mathematics questions
-
Obtain a linear approximation of the function f(h) = h, valid near h = 25.
-
Obtain a linear approximation of the function f(h) = h valid near h = 16. Noting that f(h) 0, what is the value of h below which the linearized model loses its meaning?
-
Information is given in the table Product A Product B Total 150 420 $9,000 $10,500 sales volume (units) 270 Revenue Variable costs: direct materials direct labor Profit $1,500 $300 $600 Contribution...
-
Research about the competitive and comparative advantage of the Argentina in terms of physical and human resources and how it is making use of these resources for international trade purpose. 3....
-
African Americans in a St. Louis suburb sued the city claiming they were discriminated against in schoolteacher hiring. Of the citys population, 5.7% were African American; of 405 teachers in the...
-
Condensed financial data of Granger Inc. follow. Instructions Prepare a statement of cash flows using the indirect method. Assets Cash Accounts receivable Inventory Prepaid expenses Long-term...
-
The following residuals and predicted values were obtained from an experiment that related yield of a chemical process \((y)\) to the initial concentration \((x)\) of a component (the time order of...
-
As an analyst at Delta Airlines, you are asked to help the operations staff. Operations has identified a new method of loading baggage that is expected to result in a 30 percent reduction in labor...
-
You attach a meter stick to an oak tree, such that the top of the meter stick is 2.27 meters above the ground. Later, an acorn falls from somewhere higher up in the tree. If the acorn takes 0.236...
-
1. Using the spreadsheet model from Case 2.1 as a starting point, use Solver to find the optimal set of projects to approve. The solution should maximize the total NPV from the approved projects, and...
-
The total surface area S of a right circular cylinder is related to the base radius r and height h by the equation S = 2r 2 + 2rh. a. How is dS/dt related to dr/dt if h is constant? b. How is dS/dt...
-
The accompanying graphs. The graphs in part (a) show the numbers of rabbits and foxes in a small arctic population. They are plotted as functions of time for 200 days. The number of rabbits increases...
-
1. All galaxies are structures that contain black holes in the center, so all galaxies are quasars, since all quasars are structures that contain black holes in the center. 2. Some evolutionists are...
-
How do advancements in optimization theory, such as convex optimization and nonlinear programming, contribute to the development of more robust and efficient process optimization solutions ?
-
How does culture shape the way relationships are formed, maintained, and/or ended?
-
Moneras Betzaida Ferrer has a business in partnership with Ivette Castro that sells handbags, called Moneras, where handbags and accessories are sold. The business code number is 20458. The business...
-
Fast Buck Lizzie's Produce (FBL) is a company that buys fresh produce from farmers and sells it to restaurants and non-commercial customers. FBL operates in a fantastic part of Michigan that has...
-
A horizontal curve is planned to connect two tangents that intersect at station 250+00.00 with a deflection angle of 15.0 degrees. The alignment is along a two-lane two-way highway. For a design...
-
Describe the differences between direct and indirect real estate investments.
-
Why is inventory management important for merchandising and manufacturing firms and what are the main tradeoffs for firms in managing their inventory?
-
Use logarithmic differentiation to find the derivative of the function. y = x e x 2 -x (x + 1) 2/3
-
Use logarithmic differentiation to find the derivative of the function. y = x x
-
Use logarithmic differentiation to find the derivative of the function. y = x cos x
-
Given the following article https://www.wsj.com/real-estate/luxury-homes/katy-perry-montecito-mansion-6a8b60fd What is the potential value of that legislation? What possible problems could occur if...
-
Richard Delgado, "Storytelling for Oppositionists and Others: A Plea for Narrative" Michigan Law Review 87 (1989): 2411-2441. LINK...
-
Current debates about legalization of marijuana highlight some of the tensions between state and federal power and authority. After reading the three cases below, how do you make sense of the line...
Study smarter with the SolutionInn App