Prove that for integers m and n, the curve r(t)= (a sin mt cos nt, b sin
Question:
Prove that for integers m and n, the curve
r(t)= (a sin mt cos nt, b sin mt sin nt, c cos mt)
lies on the surface of a sphere provided a2 = b2 = c2.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 71% (14 reviews)
Suppose ab and c a 6 We have x y z a sin mt co...View the full answer
Answered By
Mugdha Sisodiya
My self Mugdha Sisodiya from Chhattisgarh India. I have completed my Bachelors degree in 2015 and My Master in Commerce degree in 2016. I am having expertise in Management, Cost and Finance Accounts. Further I have completed my Chartered Accountant and working as a Professional.
Since 2012 I am providing home tutions.
3.30+
2+ Reviews
10+ Question Solved
Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
Question Posted:
Students also viewed these Mathematics questions
-
Find the period of the function in Exercise 76; that is, in terms of m and n, find the smallest positive real number T such that r(t + T) = r(t) for all t. Data from Exercise 76 Prove that for...
-
Show that for all positive integers' m and n, rt m+1
-
Show that for all positive integers m and n there are sorted lists with m elements and n elements, respectively, such that Algorithm 10 uses m + n 1 comparisons to merge them into one sorted list.
-
A U.S Company David Inc. sold merchandise to Fernando SA for 10,000 on September 14, 2017. The spot rate for euro is $0.720 on this day. On October 12, 2018, David Inc. purchased merchandise from...
-
What factors would you consider in specifying the lay of a surface?
-
Tim Wong operates a FedEx Kinko's store. He has just received the monthly bank statement at May 31, 2014, from Royal Bank of Canada, and the statement shows an ending balance of $595. Listed on the...
-
Sherman Lawn Service, Inc., began operations and completed the following transactions during August: Aug 1 Received \($1,000\) and issued 100 shares of common stock. Deposited this amount in bank...
-
Ken is a self-employed architect in a small firm with four employees: himself, his office assistant, and two drafters, all of whom have worked for Ken full-time for the last four years. The office...
-
Robert and Jane Moore live in Macon, Georgia and have to repair the gutters on their home. There is eight feet between their house and their neighbor's. The properties are adjoining; the neighboring...
-
The following account balances are for Lisa Assaad, Certified Public Accountant, as of April 30, 20X1. INSTRUCTIONS Using the accounting equation form, determine the balance for Lisa Assaad, Capital,...
-
Graph the curve r(t) = (1/2 sin 2t, 1/2(1 - cos 2t), cos t) and prove that it lies on the surface of a sphere centered at the origin.
-
Let r(t) = (f(t), g(t), h(t)). a. Assume that which means that Prove that b. Assume that and Prove that which means that lim r(t) = L = (L, L2, L3), lim |r(t) L| = 0.
-
SAE 30 oil at \(60^{\circ} \mathrm{F}\) flows through a 2-in.-diameter pipe with a mean velocity of \(5 \mathrm{ft} / \mathrm{s}\). Determine the value of the Reynolds number (see Example 1.4)....
-
In England, the voir dire process is conducted by the trial judge and is extremely limited. Do you think the American system of criminal justice would have more credibility if the voir dire were...
-
Should a defendant always be permitted to view the contents of a presentence report? What are the arguments for and against this?
-
What means more to you, occasionally winning the championship or being competitive every year?
-
Suppose you were a probation officer and a judge asked you to recommend probation conditions for a first-time offender convicted of the sale and possession of cocaine. What specific conditions would...
-
Why would a Super Bowl at Ford Field in Detroit have more of an impact on Detroit than a regular season Detroit Lions game that draws the same number of fans?
-
A machine operator has produced 500 units of a particular part, and has stated he has only had 4 units fail to meet the companys one design specification. Is this good from a Six Sigma standpoint?
-
During the year land was revalued and the surplus reported as Revaluation surplus; and an asset costing 80,000, written down to 38,000, was sold for 40,000. Identify the cost of any non-current...
-
Should a one-sided or a two-sided test be performed? Why? Infectious Disease The degree of clinical agreement among physicians on the presence or absence of generalized lymphadenopathy was assessed...
-
Perform the test in Problem 8.40, and report a p-value? Infectious Disease The degree of clinical agreement among physicians on the presence or absence of generalized lymphadenopathy was assessed in...
-
Compute a 95% CI for the true mean difference between observers. How does it relate to your answer to Problem 8.41? Infectious Disease The degree of clinical agreement among physicians on the...
-
A manfred County Psychologist is researching a possible relationship between abuse received as a child and later adult drinking habits. She interviewed a random sample of County adults and asked each...
-
You have just been hired by FAB Corporation, the manufacturer of a revolutionary new garage door opening device. The president has asked that you review the company s costing system and do what you...
-
Tim has worked for one employer his entire career. While he was working, he participated in the employer's defined contribution plan [ traditional 4 0 1 ( k ) ] . At the end of 2 0 2 3 , Tim retires....
Study smarter with the SolutionInn App