Evaluate the surface integral S F dS for the given vector field F and the
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Evaluate the surface integral ∫∫S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation.
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Given that Fx y z xyiyzjzxk where s is the part of the paraboloid z 4 x y and lies abov...View the full answer
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Dr. K Ananth Kumar
I am Dr. K. Anantha Kumar, born on 20th February 1992 in a small village A. K. Puram, Chowdepalli, Chittoor district. Father’s name is Sri K. Sreenivasulu and mother name is K. Alivelu. I had completed my S.S.C with 1st class in 2007 and Intermediate with M.P.C. in 2009 with distinction (89%) and B.Sc. with college first rank in 2012 from Sri Venkateswara University and secured M.Sc. in Applied Mathematics with second rank in 2014 from Sri Venkateswara University, Tirupati and Ph.D. in Applied mathematics (Fluid Dynamics) from the same university under the supervision of Prof. V. Sugunamma.
I started my career with lecturer in SDHR degree and PG College, Tirupati during 2014-november 2015. After that I joined as Researcher Scholar in Applied Mathematics in S.V. University, Tirupati. I selected as Basic scientific research Fellowship programme under UGC-BSR-RFSMS from 29th December 2015 to 28th December 2020. Under this programme, I had 5 years of teaching and research experience. Currently, I am working as an Assistant Professor in the department of S&H (MATHEMATICS) in Sri Venkateswara Engineering College, Karakambadi. My research area is Fluid dynamics. Title of my thesis is “Some Studies on Magnetohydrodynamic flow of Micropolar Fluid with Non-Uniform Heat Source/Sink”. I participated and presented papers in 18 national and International conferences and attended 6 workshops/Symposiums. I published more than 38 research articles in National and International Journals in which most of them are SCI and SCOPUS indexed journals. As per goggle scholar data base total citations to my articles are 945 and h-Index is 20 and i-10 index is 30 and Research Gate score is 19.28.
I have life membership in Ramanujan Mathematical Society (RMS), Andhra Pradesh Society of mathematical Sciences (APSMS) and Indian Science Congress Association (ISCA). I am the Editorial board member for SCIREA Journal of Mathematics, SCIREA Journal of Mechanical Engineering, American Research Journal of Mathematics and International Journal of Latest Research in Applied mathematics. I am also a reviewer for several International Journals (ELSEVIER, SPRINGER, Scienti.net, etc.). I Qualified in APSET-2014, conducted by Osmania University, Govt. of A.P. India. I received PRATIBHA AWARD for securing highest percentage of marks in Applied Mathematics in the year 2014 from Andhra Pradesh Government. I received Prof. Vangipuram Srinivasan Endowment Prize for academic excellence in M.Sc. Applied Mathematics during the period 2012-2014. University Grants Commission, New Delhi has awarded Junior Research Fellowship in Science for Meritorious Students (RFSMS) under UGC-Basic Scientific Research Scheme and then I promoted as Senior Research Fellow from 29th December 2017. I got many prizes in degree level for various essay writing and quiz competitions. I donated Blood in the 15 Times in SVIMS and RUYA Hospitals, Tirupati.
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Related Book For 
Calculus Early Transcendentals
ISBN: 9781337613927
9th Edition
Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin
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