Show that the function f given by f (x) = |x| is continuous on R n .
Question:
Show that the function f given by f (x) = |x| is continuous on Rn.
Consider |x - a|2 = (x - a) • (x - a).]
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 45% (11 reviews)
Since x a x a 2 x a cos 0 x a 2 x ...View the full answer
Answered By
Utsab mitra
I have the expertise to deliver these subjects to college and higher-level students. The services would involve only solving assignments, homework help, and others.
I have experience in delivering these subjects for the last 6 years on a freelancing basis in different companies around the globe. I am CMA certified and CGMA UK. I have professional experience of 18 years in the industry involved in the manufacturing company and IT implementation experience of over 12 years.
I have delivered this help to students effortlessly, which is essential to give the students a good grade in their studies.
3.50+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
If c E V n , show that the function f given by f (x) = c x is continuous on R n .
-
Show that the function f (x) in Example 3-5 satisfies the properties of a probability mass function by summing the infinite series.
-
Show that the function f defined by f (x) := x = x/x2 + 1; x R, is a bijection of R onto {y : 1 < y < 1}.
-
What minimum force f , applied horizontally to the wheel axis, is needed to bring the wheel up to the height step h ? Tomer as the wheel radius and w as its weight. Tip: apply the equilibrium...
-
Refer to the information for Aulman Inc. below. Aulman Inc. has a number of divisions, including a Furniture Division and a Motel Division. The Motel Division owns and operates a line of budget...
-
Use substitution to find the point (x, y) where each pair of lines intersect. Use a graph or table to verify your answer. a. b. c. (y 23(x 7) y 10 5x 023x 9 y4 135x y=-1.5x + 7 2y 3x +14
-
List the major parts of a complex corporate income statement for WRS Athletic Clubs, Inc., for the year ended December 31, 2007. Include all the major parts of the income statement, starting with net...
-
Following are the four assertions about account balances that can be applied to the audit of a companys PP& E, including assets the company has constructed itself: existence, rights and obligations,...
-
Stock A's beta is 0.92. Stock B's expected return is 8.8%. The risk free rate is 4% and the market risk premium is 6%. What are the beta and expected return of a portfolio that invests 25% of its...
-
Mordica Company identifies three activities in its manufacturing process: machine setups, machining, and inspections. Estimated annual overhead cost for each activity is $150,000, $325,000, and...
-
Graph and discuss the continuity of the function (a) Show that f (x, y) 0 as (x, y) (0, 0) along any path through (0, 0) of the form y = mx a with 0 < a < 4. (b) Despite part (a), show that f is...
-
At the beginning of this section we discussed the function I = f (T, H), where I is the heat index, T is the temperature, and H is the relative humidity. Use Table 1 to estimate f T (92, 60) and f H...
-
A walker covers a distance of 1.8 km in a time of 30 minutes. What is the average speed of the walker for this distance in km/h?
-
What will the following code output? (10 points) int *numbers = new int[5]; for (int i = 0; i
-
A 10 L cylinder contains 100 mol mixture of propane, n-butane and iso-butane, where the compositions are 60 mol%, 15 mol% and 25 mol% respectively. The temperature inside the cylinder is 120C and are...
-
Here is a Java program to get the sum of a Array of numbers. String[] numbers={"3", "5", "6", "9", "10"); // line 1 int sum = 0; // line 2 for (int i=0; i
-
Vogel, Inc., an S corporation for five years, distributes a tract of land held as an investment to Jamari, its majority shareholder. The land was purchased for $116,000 ten years ago and is currently...
-
Write a java program to perform sum of array elements.
-
Suppose that 10 sets of hypotheses of the form H 0 : = 0 H 1 : 0 have been tested and that the P-values for these tests are 0.12, 0.08. 0.93, 0.02, 0.01, 0.05, 0.88, 0.15, 0.13, and 0.06. Use...
-
Activator rod AB exerts on crank BCD a force P directed along line AB. Knowing that P must have a 100-N component perpendicular to arm BC of the crank, determine (a) The magnitude of the force P, (b)...
-
In end-of-chapter exercise 6.10. we analyzed cases where the interest rates for borrowing and saving are different. Part of the reason they might be different is because of government policy. A....
-
Tax Revenues and the Laffer curve: In this exercise, we will consider how the tax rate on wages relates to the amount of tax revenue collected. A. As introduced in Section B, the Laffer curve depicts...
-
Suppose that an invention has just resulted in everyone being able to cut their sleep requirement by 10 hours per weekthus providing an increase in their weekly leisure endowment. A. For each of the...
-
Derrick Iverson is a divisional manager for Holston Company. His annual pay raises are largely determined by his division's return on Investment (ROI), which has been above 20% each of the last three...
-
For Feet's Sake has two classes of stock authorized: 8%, $10 par preferred, and $1 par value common. The following transactions affect stockholders' equity during 2024, its first year of operations:...
-
Listed below are several situations that require the use of time value of money techniques to answer. MIKE KEATON VARIOUS TIME VALUE OF MONEY SITUATIONS (1) Mike Keaton deposited $8,500 in a savings...
Study smarter with the SolutionInn App