s MATHEMATICS 2005 (Set II—Outside Delhi) Except for the following questions‚ all the remaining questions have been asked in Set I . SECTION - A Q. 1. If [pic]then prove by Principle of mathematical Induction that [pic]‚ where [pic] Q. 2. Two balls are drawn at random with replacement from a box containing 10 black and 8 red. Find the probability that (i) both balls are red (ii) the first ball is black and the second is red (iii) one of them is black and the other red. Q. 10. Evaluate:
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India holds over half the world’s tiger population. According to the latest tiger census report released on February 12‚ 2008 by the National Tiger Conservation Authority‚ the current tiger population stands at 1‚411 (i.e. ranging between a minimum of 1‚165 to a maximum of 1‚657). The results include figures from 16 tiger states and are exclusive of Jharkhand and Sunderbans. The state of West Bengal was covered only partially (i.e. North Bengal) during the census. The Tiger Census 2008 report
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LEAVES BIODIVERSITY HOTSPOTS? A. ELIZABETH ARNOLD1 AND F. LUTZONI Department of Biology‚ Duke University‚ Durham‚ North Carolina 27708 USA Abstract. Fungal endophytes are found in asymptomatic photosynthetic tissues of all major lineages of land plants. The ubiquity of these cryptic symbionts is clear‚ but the scale of their diversity‚ host range‚ and geographic distributions are unknown. To explore the putative hyperdiversity of tropical leaf endophytes‚ we compared endophyte communities along
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1. Summarize advances over time in determining the age of the Earth‚ including the importance of the discovery or radioactivity. Herodotus counted layers of earth near the Nile River in 450 B.C.E. The Bible was used in the Middle Ages to compute the age of the Earth. The 18th and 19th centuries brought a more scientific look into determining the age of the Earth by studying the salinities of the oceans‚ the rates of sedimentation‚ and models of cooling of different materials in order to calculate
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Humans are more likely to be able to save the koalas. Koalas would be able to get saved more easily than the frogs because‚ they are not in such bad conditions as the frogs. Frogs need a lot more support from us. For example‚ the frogs are dying due to chemicals that farmers use like weed killers. They need less pollution. Koalas are not only easier to be saved but there is less to be done and they have many support. Koalas are endangered but humans can help with that. We can help by asking farmers
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a schoo Chapter 35 The Plant Body 1. Describe and compare the three basic organs of vascular plants. Explain how these basic organs are interdependent. The three basic organs of a vascular plant are the stems‚ leaves‚ and roots. The stems consist of nodes‚ where leaves attach‚ and internodes between the nodes. The stem is responsible for elongation of the plant and acts as a central axis for other organs to attach to. The roots help to anchor the plant as well as absorb water and nutrients
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In Detroit‚ Michigan of 2002 many ash trees in the hardwood forests of Michigan and in urban areas were unexpectedly dying prematurely and researchers began investigating the problem. As they investigated trees‚ they found tunnels throughout the inside of the tree. The problem turned out to be an insect no longer than 12 millimeters known as the emerald ash borer. Many 10s of millions of dollars have been spent and more than 200 million trees have died or have been sacrificed in efforts to eradicate
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between plants and people is made possible by the differences between cellular respiration and photosynthesis. While cellular respiration occurs in all living organisms‚ photosynthesis relies on chlorophyll and is unique to plants‚ algae‚ and some bacteria. Respiration and photosynthesis are essentially the same process in reverse. During photosynthesis CO2 and H2O are converted to glucose and oxygen‚ while cellular respiration uses glucose and oxygen which are converted to CO2 and H20. Plants utilize
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2011 The Nature of Wang Lung All human beings show emotion‚ as emotions are a tell-tale sign of who somebody is‚ what they are to others‚ and how they react to different situations. When we examine the character Wang Lung from the book The Good Earth‚ we see an example of the purest form of the human nature working under difficult situations. Through this book‚ Wang Lung symbolizes “human nature‚” as he shows a dynamic variety of different human attributes from the beginning to the end‚ such as
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Earth Day is an annual event‚ celebrated on April 22‚ on which day events worldwide are held to demonstrate support for environmental protection. It was first celebrated in 1970‚ and is now coordinated globally by the Earth Day Network and celebrated in more than 192 countries each year. In 1969 at a UNESCO Conference in San Francisco‚ peace activist John McConnell proposed a day to honor the Earth and the concept of peace‚ to first be celebrated on March 21‚ 1970‚ the first day of spring in the
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