The function (x, y) = sin(xy)/xy is defined for xy 0. (a) Is it possible to
Question:
The function ƒ(x, y) = sin(xy)/xy is defined for xy ≠ 0.
(a) Is it possible to extend the domain of ƒ to all of R2 so that the result is a continuous function?
(b) Use a computer algebra system to plot ƒ. Does the result support your conclusion in (a)?
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (QA)
a We define fx y on the x and yaxes by fx y 1 if xy 0 We no...View the full answer
Answered By
Somshukla Chakraborty
I have a teaching experience of more than 4 years by now in diverse subjects like History,Geography,Political Science,Sociology,Business Enterprise,Economics,Environmental Management etc.I teach students from classes 9-12 and undergraduate students.I boards I handle are IB,IGCSE, state boards,ICSE, CBSE.I am passionate about teaching.Full satisfaction of the students is my main goal.
I have completed my graduation and master's in history from Jadavpur University Kolkata,India in 2012 and I have completed my B.Ed from the same University in 2013. I have taught in a reputed school of Kolkata (subjects-History,Geography,Civics,Political Science) from 2014-2016.I worked as a guest lecturer of history in a college of Kolkata for 2 years teaching students of 1st ,2nd and 3rd year. I taught Ancient and Modern Indian history there.I have taught in another school in Mohali,Punjab teaching students from classes 9-12.Presently I am working as an online tutor with concept tutors,Bangalore,India(Carve Niche Pvt.Ltd.) for the last 1year and also have been appointed as an online history tutor by Course Hero(California,U.S) and Vidyalai.com(Chennai,India).
4.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
The paper Commercially Available Plant Growth Regulators and Promoters Modify Bulk Tissue Abscisic Acid Concentrations in Spring Barley, but not Root Growth and Yield Response to Drought (Apa plied...
-
Managing Scope Changes Case Study Scope changes on a project can occur regardless of how well the project is planned or executed. Scope changes can be the result of something that was omitted during...
-
A study, described in the paper Prediction of De fibrillation Success from a Single Defibrillation Threshold Measurement (Circulation [1988]: 1144 1149) investigated the relationship between...
-
Head movement evaluations are important because disabled individuals may be able to operate communications aids using head motion. The paper Constancy of Head Turning Recorded in Healthy Young Humans...
-
A gas consists of 20.0 mole% CH4, 30.0% C2H6, and 50.0% C2H4. Ten kilograms of this gas is to be compressed to a pressure of 200bar at 90C. Using Kays rule, estimate the final volume of the gas.
-
Outline the characteristics of a typical shoplifter that should arouse a small business manager's suspicions. What tools and tactics is a shoplifter likely to use?
-
Develop the appropriate primary research question to be associated with this design. Develop a hypothetical research scenario that would necessitate the use of the Action Research Approach and a...
-
Best Trim, a manufacturer of lawn mowers, predicts that it will purchase 204,000 spark plugs next year. Best Trim estimates that 17,000 spark plugs will be required each month. A supplier quotes a...
-
2. The benefits of financial planning Aa Aa Why Engage in Personal Financial Planning? Many people mistakenly believe that personal financial planning is an activity appropriate for only the wealthy;...
-
Compute the first-order partial derivatives. - 2 X
-
Is the following function continuous? x + y if x + y < 1 if x + y 1 f(x,y) = 3) = { + 3 1
-
Discuss the cascading concept in planning and setting objectives.
-
3.1-If the mass of the earth were to quadruple, and the earths radius remained the same, would we weigh more or less? By how much? 4.2- If the suns radius were to shrink until the sun became a black...
-
At May 3 1 , 2 0 2 2 , the accounts of Lopez Company show the following. May 1 inventories - finished goods $ 1 2 , 6 0 0 , work in process $ 1 4 , 7 0 0 and raw materials $ 8 , 2 0 0 . May 3 1...
-
1. You throw a 0.145-kg baseball straight up, giving it an initial velocity of magnitude 20.0 m/s. a) Find how high it goes, ignoring. resistance. II. Suppose your hand moves upward by 0.50m while...
-
If the profit margin is 0 . 2 1 5 8 , asset turnover is 0 . 5 3 8 9 and financial leverage is 1 . 2 0 4 7 , what is the return on equity?
-
Meteors are small pieces of matter made mostly of iron. Few meteors hit the surface of the Earth because of the Earth's atmosphere. Assuming all the kinetic energy of the meteor changes to heat...
-
The U.S. Congress enacted the Controlled Substances Act (CSA) as part of the Comprehensive Drug Abuse Prevention and Control Act of 1970. The CSA establishes that marijuana is a controlled substance...
-
Which of the followingcarbocations is the least stable? CH3CH2 . CH3CHCH3 CH3 I . CH3C0 T CH3 IV. V. CH3 CH3CCH2 CH3
-
Write down the first five terms of the sequence. {()'} {s} (3,
-
Write down the first five terms of the sequence.
-
Write down the first five terms of the sequence.
-
A disk between vertebrae in the spine is subjected to a shearing force of 580 N. Find its shear deformation taking it to have the shear modulus of 1.00 x10 9 N/m2. The disk is equivalent to a solid...
-
Solve the following initial value problem y" - 24' -8y = t - zu (t-4)+5(t-5) 2u y(0)=0 y6)=0
-
What are the challenges and opportunities associated with the implementation of performance management systems in dynamic and rapidly changing environments, and how can adaptive performance...
Study smarter with the SolutionInn App