Show that for every a > 0 the linear approximation L(x) to the function f(x) = x2

Question:

Show that for every a > 0 the linear approximation L(x) to the function f(x) = x2 at a satisfies f(x) ≤ L(x) for all 0.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Calculus

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

See More Books

Question Posted: Jun 21, 2016 09:52 AM

See More Questions

Show that, for every complex number z, it holds |z2| = |z|2.
Show that, for every e > 0 : If and only if Uniformly in v 1. (|Xm Xn| > 8) 0 as m, n 0
Show that for every a the linear approximation L(x) to the function f = x2 at a satisfies L(x) f(x) for all x.
You are deciding between two mutually exclusive investment opportunities. Both require the same initial investment of $10 million. Investment A will generate $2 million per year (starting at the end...
1. Select one of the companies described and write a short paper (no more than two pages) about the type of inventory control techniques that the business should use. Explain what would be an...
Complete the chart for each of the following independent distributions. Assume that all distributions are nonliquidating and pro rata to the partners, that no contributed property was distributed,...
Long Steps Ltd operates three departments, including a department that has consistently shown losses. For the year just ended, the hiking supplies department showed the following performance....
In one of the little-known battles of the Civil War, General Tecumseh Beauregard lost the Third Battle of Bull Run because his preparations were not complete when the enemy attacked. If the critical...
Your company recently hired a new administrative assistant, Maryam Arjmand. On her first day, you stopped by her desk to meet her. During your conversation, you told her to let you know if there was...
What factors may explain the apparent contradiction between the EEOC litigation and the Diversity Business Practices Global Leadership Award received by L'Oreal?
Find the linear approximation to f(x) = mx + b at an arbitrary et. What is the relationship between f(x) and L(x)?
Find a linear approximation to f(x) = (1 + x) at x = 0. where a is any number. For various values of a, plot f(x) and its linear approximation L(x). For what values of a does the linear approximation...
Investment X offers to pay you $4,850 per year for nine years, whereas Investment Y offers to pay you $6,775 per year for five years. Which of these cash flow streams has the higher present value if...
Allstate was founded in 1930 as a subsidiary of Sears. As the giant retailer embarked on its great expansion, Allstate sold auto insurance through all of the new stores. Following World War II, the...
In 2013, the Canadian academic community was shocked to learn that five established professors in McMasters DeGroote School of Business were sanctioned for harassment and for creating a hostile...
Texas businessman Rollin King and attorney Herb Kelleher founded Air Southwest in 1967 as a regional airline linking Dallas, Houston, and San Antonio. Southwest made its first scheduled flight in...
Conflict that takes place within an organization can quickly make its way outside the organization, leading to public embarrassment and brand diminishment. This reality hit home for Premier Tech (PT)...
The $40 000-plus Hyundai Genesis 3.8 GT automatic, which entered the North American market as a 2010 model (in 2009), is a far cry from the popular Elantra. Hyundais new flagship model was designed...
For the following exercises, write an equation describing the relationship of the given variables. y varies inversely as the cube root of x and when x = 64, y = 5.
Write a function that reads a Float24_t value: Float24_t float24_read(void) A legitimate float24 value string is of the form: "mantissabexponent" where the mantissa (m) and the exponent (e) may have...
In the first quarter of 2012, the world price for raw sugar, 24 per pound, was about 70% of the U.S. price, 34 per pound, because of quotas and tariffs on sugar imports. As a consequence, American-...
Canada has 20% of the worlds known freshwater resources, yet many Canadians believe that the country has little or none to spare. Over the years, U.S. and Canadian firms have struck deals to export...
Given that the world supply curve is horizontal at the world price for a given good can a subsidy on imports raise welfare in the importing country? Explain your answer.
The weekly salaries (in dollars) of 24 randomly selected employees of a company are shown below: 310 320 450 460 470 500 520 580 600 650 700 540 710 840 870 900 1000 1200 1250 1300 1400 1720 2500...
(a) Assume a non-dividend paying asset St, undergoes geometric Brownian motion dS = S+dt+S+dWt where W is a standard Brownian motion and and are constants. We assume also that r, the risk-free...
Eleanor is auditing a large manufacturing company. Currently, she is looking at the entire population of inventory purchases for the year, and matching the purchase order, receiving documentation,...

Show that for every a > 0 the linear approximation L(x) to the function f(x) = x2

Question:

Step by Step Answer:

Ls fx a 1 2a x ...View the full answer

Calculus

Students also viewed these Calculus questions