Prove that if r is a vector-valued function that is continuous at c, then ||r|| is continuous
Question:
Prove that if r is a vector-valued function that is continuous at c, then ||r|| is continuous at c.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 37% (8 reviews)
Let rt xti ytj ztk Because ris con...View the full answer
Answered By
Lisper Wanja
I am an experienced and highly motivated writer with a passion for the skills listed. I have a proven track record of my expertise and my aim is to deliver quality, well-detailed and plagiarism free projects. My genuine passion for writing combined with my ongoing professional development through school and research makes me an ideal candidate within for any assignment.
4.90+
233+ Reviews
388+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Verify that the converse of Exercise 85 is not true by finding a vector-valued function r such that ||r|| is continuous at c but r is not continuous at c. Data from in Exercise 85 Prove that if r is...
-
In this project you will construct an increasing function that is discontinuous at each rational point in (0, 1) and continuous at each irrational point in (0, 1). We will need two basic facts: a....
-
Show that if r is a vector function such that r'' exists, then d/dt [r(t) X r'(t)] = r(t) X r''(t)
-
Suppose that a countrys annual growth rates were 5, 3, 4, 1, 2, 2, 3, 4, 6, and 3 in yearly sequence over a 10-year period. What was the countrys trend rate of growth over this period? Which set of...
-
Journalize the adjusting entries at May 31, the end of the accounting period. Omit explanations. a. Employee salaries owed for Monday through Thursday of a five-day work week equals $7,500. b....
-
The following information is available for Unique Globe, as of May 31, 2011: a. Cash on the books as of May 31 amounted to $43,784.16. Cash on the bank statement for the same date was $53,451.46. b....
-
What forms of negligence are described in this chapter?
-
In 2014, Pennington Corporation had net sales of $600,000 and cost of goods sold of $360,000. Operating expenses were $153,000, and interest expense was $7,500. The corporations tax rate is 30%. The...
-
A 10 year bond with 12.5% coupon rate and $1000 face value. YTM is 14.5%. Assuming annual coupon payment, Calculate the price of the bond
-
You are asked to verify Kepler's Laws of Planetary Motion. For these exercises, assume that each planet moves in an orbit given by the vector- valued function r. Let r = ||r||, let G represent the...
-
Two particles travel along the space curves r(t) and u(t). A collision will occur at the point of intersection P when both particles are at P at the same time. Do the particles collide? Do their...
-
Weatherall Products uses standard costing. The following information about overhead was generated during August: Standard variable overhead rate..........$3.00 per machine hour Standard fixed...
-
Eight years ago, Natalia purchased an 8.25% $1,000 bond for 107 1/2 plus brokerage fees totaling $28. Natalia received interest checks semiannually Immediately after receiving her 16th interest...
-
janey paurchased macinery on april 8th of the current year. the relevant costs for the year are as follows: machinery for 10000, 800 shipping, 50 for delivering insurance, 500 for instalation,750 for...
-
The standard output of production EXE is 25 units per hour in a manufacturing department of a company employing 100 workers. The standard wage rate per labour hour is Rs.6. In a 42 hours week, the...
-
A change in the measurement basis applied is a change in an accounting policy, and is not a change in an accounting estimate. When it is difficult to distinguish a change in an accounting policy from...
-
Do you believe someone can be trained to be more ethical? Why or why not? Put this answer in your own words and cite as well!
-
Suppose that the required reserve ratio is 8%, banks hold 5% of deposits as excess reserves, and the currency-to-deposit ratio is 2. a. What is the value of the money multiplier? b. If the Fed...
-
Open Text Corporation provides a suite of business information software products. Exhibit 10-9 contains Note 10 from the companys 2013 annual report detailing long-term debt. Required: a. Open Text...
-
The vector v has initial point P and terminal point Q. Write v in the form ai + bj + ck; that is, find its position vector. P = (0, 0, 0); Q = (-3, -5, 4)
-
The vector v has initial point P and terminal point Q. Write v in the form ai + bj + ck; that is, find its position vector. P = (3, 2, -1); Q = (5, 6, 0)
-
The vector v has initial point P and terminal point Q. Write v in the form ai + bj + ck; that is, find its position vector. P = (-3, 2, 0); Q = (6, 5, -1)
-
Use the proper techniques of integration to evaluate each integral. 1 (a) | (9 + x ) 2 dx (b) x tan-x -1 x dx
-
Simplify: 523.515 Note: Do not evaluate. Provide your answer below:
-
Solve the double inequality below. Then graph the solution set on the real number line. -81+3(x-2) < 13
Study smarter with the SolutionInn App