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: 40% (10 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...
-
Max Stamp approves study abroad documents for the university. Students must wait in line with their forms outside Maxs office. One student at a time is allowed in his office and Max takes precisely...
-
The Howell Corporation has the following account balances (in millions): Prepare an income statement and a supporting schedule of cost of goods manufactured for the year ended December 31, 2017. (For...
-
Journal Entries for Fair Value and Equity Methods Presented below are two independent situations. Situation 1 Hatcher Cosmetics acquired 10% of the 200,000 shares of common stock of Ramirez Fashion...
-
8. Draw and label a potential graph and contour plot for: a. A point charge of 1nC. b. A parallel-plate capacitor with AV = 2.0V 9. The electric potential generated by a particular point charge is...
-
Among a sample of 1037 adult women, pulse rates are normally distributed with a mean of 74.0 beats per minute, but 75% of the women have pulse rates greater than 74.0 beats per minute. Does It Make...
-
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...
-
How might Tescos resources and capabilities constrain its continuing growth?
-
A company's free cash flow is $6,500. The average amount of debt maturing over the next five years is $5,405. What is the cash flow adequacy ratio? a. 20.3% b. 83.2% c. 120.3% d. 16.8%
-
Who issues warrants? Multiple choice question. Investment bankers Stock exchanges The firm Stock brokers
-
if you are twenty years old and have the ability to save $1000 a year for the next 5 years, how much would you have at the age of 67 with an interest of 8% if invested in the stock market?
-
During the year ended December 31, 2021, Bon Jovi Company incurred direct labor costs of $750,000 and manufacturing overhead costs of $500,000. As of January 1, 2021, Bon Jovi had the following...
-
Cigna Inc. issued an annual coupon bond with 14% coupon rate last year. It has 14 years remaining to maturity. If investors require 6% return, how much should they pay for the bond? Assume that par...
-
Hazel wants to take the next six years off work to travel around the world. She estimates her annual cash needs at $35,000 (if she needs more, she'll work odd jobs). Hazel believes she can invest her...
-
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...
-
A 40.0-g object connected to a spring with a force constant of 50.0 N/m oscillates with an amplitude of 6.00 cm on a frictionless, horizontal surface. (a) Find the total energy of the system. mJ (b)...
-
A proton is going 976 m/s when it is exposed to a 38 T magnetic field (see below) and begins moving in a circle. Determine the direction of the magnetic force, the radius of the motion, and the...
-
Example: A surface charge of 5.0 C/m is located in the x-z plane in the region -2.0 m x 2.0 m and -3.0 m y 3.0 m. Find analytically the electric field at the point (0, 4.0, 0) m. x 3 Ps=5/C/m =2...
Study smarter with the SolutionInn App