10.6 SURFACES IN SPACE EXAMPLE 6.1 Sketching a Surface © The McGraw-Hill Companies‚ Inc. Permission required for reproduction or display. Slide 1 10.6 SURFACES IN SPACE EXAMPLE 6.1 Sketching a Surface Solution Since there are no x’s in the equation‚ the trace of the graph in the plane x = k is the same for every k. This is then a cylinder whose trace in every plane parallel to the yz-plane is the parabola z = y2. © The McGraw-Hill Companies‚ Inc. Permission required for
Premium Conic section Ellipse
Surface Tension of Liquids Karen Mae L. Fernan Department of Chemistry‚ Xavier University-Ateneo de Cagayan‚ Philippines Date performed: Nov. 22‚ 2012 ∙ Date Submitted: January 16‚ 2013 E-mail: fernankarenmae26@yahoo.com ------------------------------------------------------------------------------------------------------------------------------- Abstract Surface tension is defined as the energy or work required to increase the surface area of a liquid due to intermolecular forces
Premium Liquid
Capillary rise) Synopsis This project report explains about the surface tension and capillarity of liquid through a simple experiment of finding the capillarity of various detergents. Oil stains and grease on dirty clothes cannot be removed‚ using water alone‚ because water does not wet them. If detergents added ‚ surface tension is decreased‚ the area of contact is increased. Detergent molecules have the shape of a hairpin‚ one of which is
Premium Liquid
Surface Tension My problem was to find out how to test or measure surface tension. I think the reason of some of the force in surface tension is cohesion and gravity. Surface Tension is the condition existing at the free surface of a liquid‚ resembling the properties of an elastic skin under tension. The tension is the result of intermolecular forces exerting an unbalanced inward pull on the individual surface molecules; this is reflected in the considerable curvature at those edges where the
Premium Water Liquid Atom
Term Report Microsoft Surface Table Acknowledgements We would like to express our deepest appreciation for our professor‚ Dr. Michael Kamins. It would have been practically impossible for us to pursue this project without his invaluable advice and guidance. We would also like to thank our classmates for encouraging us during our presentation and providing great advice to improve our project. We would also like to thank the Stony Brook College of Business for allowing us to use the
Premium Microsoft Graphical user interface
Surface area Surface area is the measure of how much exposed area a solid object has‚ expressed in square units. Mathematical description of the surface area is considerably more involved than the definition of arc length of a curve. For polyhedra (objects with flat polygonal faces) the surface area is the sum of the areas of its faces. Smooth surfaces‚ such as a sphere‚ are assigned surface area using their representation as parametric surfaces. This definition of the surface area is based on methods
Premium Surface area Area Volume
such as methane‚ however‚ have weak cohesion due only to Van der Waals forces that operate by induced polarity in non-polar molecules. Cohesion‚ along with adhesion (attraction between unlike molecules)‚ helps explain phenomena such as meniscus‚ surface tension and capillary action. Mercury in a glass flask is a good example of the effects of the ratio between cohesive and adhesive forces. Because of its high cohesion and low adhesion to the glass‚ mercury does not spread out to cover the bottom
Premium Liquid
Formulas of Surface area and Lateral surface area of Polyhedrons LSA or Lateral Surface Area refers to the sum of the areas of all the faces of a three-dimensional figure‚ excluding its bases. SA or Surface Area- refers to the sum of the areas of all the faces of a three-dimensional figure. It also referred to as the Total Surface Area (TSA). ~~~~~~~~~~~~~~~~~~~ For Rectangular Prism LSA= P(h) *where P=perimeter of the base ; h= measurement of the height SA= 2B+ LSA *where
Free Area Volume Surface area
In mathematics‚ the Klein bottle ([klaɪ̯n]) is a non-orientable surface‚ informally‚ a surface (a two-dimensional manifold) with no identifiable "inner" and "outer" sides. Other related non-orientable objects include the Möbius strip and the real projective plane. Whereas a Möbius strip is a two-dimensional surface with boundary‚ a Klein bottle has no boundary. (For comparison‚ a sphere is an orientable surface with no boundary.) The Klein bottle was first described in 1882 by the German mathematician
Premium Surface
ABSTRACT………………………………………………………………………02 . 2. INTRODUCTION……………………………………………………...………..04 3.WHAT IS Surface computing............................................................05 4.HISTORY OF Surface computing........…………………………..…06 5.ESSENTIAL FEATURES……………………………………………………..…08 6.TECHNOLOGY BEHIND Surface computing ………………….….09 7.HARDWARE……………………………………………………………………..10 8.APPLICATIONS OF Surface computing …………………........…12 9. Surface computing IN FUTURE.……………………..........……...18 10. REFERENCES…………………………………………………………
Premium Microsoft User interface