For f(x) =2x, find a formula for the Riemann sum obtained by dividin.pdf

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For f(x) =2x, find a formula for the Riemann sum obtained by dividing the interval [2.5] subintervals and using the right hand endpoint for each ck. Simplify the sum and take the limit as n--> infinity to calculate the area under the curve over [2,5] please show all of your work as be as descriptive as you can I appreciate your help thank you! Solution a=2, b =5, x =(b-a)/n =(5-2)/n =3/n f(x)=2x xi=a+ ix =2+i(3/n) f(xi)=2(2+3(i/n)) the area under the curve over [2,5] is =limn->[i =1 to n]f(xi)x =limn->[i =1 to n]2(2+3(i/n))(3/n) =limn->[i =1 to n]6((2/n)+3(i/n2)) =limn-> 6((2n/n)+3(n(n+1)/2n2)) =limn-> 6(2 +3((1+(1/n))/2)) = 6(2 +3((1+0)/2)) =6(2 +3(1/2)) =6(2 +(3/2)) =6(7/2) =3*7 =21 the area under the curve over [2,5] is 21.

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Do The statement of stockholder\'s equity explains changes in equity from net income? Solution Statement of equity is a summary of changes in share holders equity during the reporting period. The statemnt includes all changes including issue of new stocks, payment of dividend, issue of bonus shares, buy back of shares. It also includes changes to retained earnings, reserves and stock reserve. Distribution of dividend from net income and transfer of remaining balance to reserves are shown at the bottom of P&L account. The remaining balance of profits transferred to reserves are reflected in Statement of changes in equity as addition to retained earnings. Hope I have answered the question, for any further clarification please comment..

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Describe what is meant by “radical cure” and identify the drug that is produces a radical cure for malaria. Solution Radical cure refers to the elimination of malaria parasites completely from the body.It specifically refers to the elimination of hypnozoites of P.vivax and P. ovale which are the parasitic stages in the liver and could result in relapse of the infection. A combination of two drugs i.e chloroquine and primaquine produces a radical cure for malaria..

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Decasper and Spence (1986) measured babies sucking rates as they liscenced to a story they had heard in the womb (the cat in the hat) and to a story they had not heard (the king, the mice, and the cheese) the study concluded that: a.) amniotic fluid blocks sound waves from reaching the fetus b) increased heart rate showed that an infant can learn even before it is born c) different sucking styles and rates showed that an infant can learn even before it is born d) the cadence of the reading material not previous experience altered sucking style and rate Solution different sucking styles and rates showed that an infant can learn even before it is born.

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Corhin Eckles and Connor Hayes have recieved walkie talkies for Christmas. If they leave from the same point at the same time, Corhin walking north at 2.5 mph and Connor walking east at 3 mph, how long will they be able to talk to each other if the range of the walkie-talkies is 4 mi? Solution Corhin DATA: distance= x miles; rate=2.5 mph; time=d/r= x/2.5 Connor DATA: distance= y miles; rate=3 mph; time=y/4 EQUATIONS: 1) x^2+y^2=4^2 2) x/2.5 = y/4 Using 2) you get y=4x/2.5 Substitute into 1) to get x^2+(4x/2.5)^2=16 x^2+(16x^2/6.25)=16 6.25x^2+16x^2=16(6.25) 22.25x^2=100 x^2=100/22.25=4.49... x=2.12 hrs. x/2.5= 0.85 hrs. = 50.87 minutes This is Corhin\'s time, but it is the same for Connor..

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Consider three genes in a hypothetical bird. One controls the color of feathers on the top of the head (red or brown), one controls the color of feathers on the chest (black or brown) and one controls the number of syllables in the song (3 or 4). You notice that birds frequently have either red heads and black chests or brown heads and brown chests, but very few have red heads and brown chests or brown heads and black chests. However, there doesn\'t seem to be any association between the syllables in the bird song and color. In other words, red heads are equally likely to sing songs with 3 or 4 syllables, and the same goes for the brown heads. Based on what you know about how the genome is organized and passed down to the next generation, explain this observation. Solution The observation can be attributed to the mechanism of genetic linkage. It is a well known fact that genes get passed from one generation to another. Mendel\'s second law of inheritance states that during this process, the inheritance of one gene is independent of the inheritance of another gene. Howeve, this law holds true only when the different genes are sufficiently spaced apart from each other. Inother words, if the genes are close to each other, it is difficult for them to be inherited in an independent manner. If one of the genes is inherited, then the other gene (by virtue of its proximity to the first gene) also tends to get inherited. This phenomenon is called as genetic linkage, and the genes involved are said to be Linked Genes. The same mechanism is in action in the above case. The genes for Red Head and Black Crest are linked, as are the genes for Brown Head and Brown Crest. Therefore, these two genes are inherited in a linked manner, and not in an independent manner. The two genes therefore behave as One Single Gene. The gene for song syllable is at a sufficient distance from the linked genes, and follows Mendel\'s law of independent assortment and is not dependent on the presence or absence of the former two traits..

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are organic compounds that bind very tightly to iron ions for transport into cells. Solution Organisms like bacteria secrerte substances called siderophores which bind to iron for transport inside the cell. Iron is one of the important micronutrients for the bacterial metabolism. Ferrichrome,Desferrioxamine B and Desferrioxamine E are some of the important siderophores secreted by various bacteria..

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Book: Business It\'s Legal, Ethical, Global Environment 10th Edition Page 204-205 Question and Problems # 2 #5 Solution Ethical issues connect intimately with economic issues. Take the economic practice of doing a cost-benefit analysis. You could spend one hundred dollars for a night on the town, or you could donate that one hundred dollars to the reelection campaign of your favorite politician. Which option is better? The night on the town increases pleasure. A politician’s successful campaign may lead to more liberty in the long term. We regularly make decisions like this, weighing our options by measuring their likely costs and likely benefits against each other. This connects economics directly to a major issue in ethics: By what standard do we determine what counts as a benefit or a cost? A list of competing candidates for the status of ultimate value standard includes happiness, satisfying the will of God, long-term survival, liberty, duty, and equality. Economists implicitly adopt a value framework when beginning a cost-benefit analysis. Different value commitments can lead to the same item being considered a cost from one perspective and a benefit from another. For example, those whose standard of value is increasing human happiness would count a new road to a scenic mountain vista as a benefit, while those whose standard is maintaining an unchanged natural environment would count it as a cost. The results of economic analysis also lead directly to ethical issues. For example, one result of the nineteenth- and twentieth-century debate over capitalism and socialism is a general consensus that capitalism is effective at producing wealth and socialism is effective at keeping people poor. Advocates of capitalism use these results to argue that capitalism is good; others might respond that “socialism is good in theory, but unfortunately it is not practical.” Implicit in the capitalist position is the view that practical consequences determine goodness. By contrast, implicit in the position of those who believe socialism to be an impractical moral ideal is the view that goodness is distinct from practical consequences. This connects economics to a second major issue in ethics: Is goodness or badness determined by real-world practical consequences or by some other means, such as revelations from God, faith in authorities or authoritative institutions, appeals to rational consistency, felt senses of empathy, or an innate conscience? The point for economic analysis, most of which is a matter of understanding and predicting the consequences of various actions, is that the relevance of economic analysis to policymaking depends, in part, on what one believes is the final source of value standards..

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According the United States (U.S.) Centers for Disease Control and Prevention, in 2015 influenza and pneumonia combined were the 8th leading causes of death (55,227 deaths in total) and the only communicable diseases ranked among the top ten killers in the U.S. What were the 10 causes of mortality in the U.S. in 1900 and 2015? Since communicable disease caused a relatively few deaths in the U.S. in 2015, why should public and public health professionals be concerned about them anymore and devote resources in their prevention and control? Solution Top 10 leading causes of deaths in US: Hearts diseases Cancer Airway diseases which are non infectious Cardio vascular disorders Accidents Alzheimer\'s disease Diabetes Pneumonia or influenza Nephropathys Suicide. The period of communicability is less for the communicable diseases, hence they are prevention of disease in early stages is possible. Prevention and control of influenza: Good ventilation of public buildings Encouraging sufferers to cover their faces with a handkerchief when coughing and sneezing Stay in home at the first sign of influenza Vaccination against the influenza, may be killed or level attenuated vaccines Prevention of exposure to influenza strains by hygiene practice Antiviral drugs like amantadine or rimantidine used Prevention and control of pneumonia: Pneumococcal pneumonia vaccination, PPV 23 AND PCV7. Education of mother to observe the sings of pneumonia. History taking and clinical examination are very important for management Physical examination for, breath count, chest indrawing, listen for stridor, wheezing and for severe malnutrition, cyanosis Any signs detected, they are treated early by antibiotics and other measures Improving the primary medical care services and development..

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What are parametric and nonparametric inferential tests? Solution Inferential statistics suggest statements about a population based on a sample from that population. Parametric inferential tests are carried out on data that follow certain parameters: the data will be normal (i.e. the distribution parallels the bell curve); numbers can be added, subtracted, multiplied and divided; variances are equal when comparing two or more groups; and the sample should be large and randomly selected. There are generally more statistical technique options for the analysis of parametric than nonparametric data, and parametric statistics are considered to be the more powerful. Common examples of parametric tests are: correlated t-tests and the Pearson r correlation coefficient. Inferential statistics suggest statements or make predictions about a population based on a sample from that population. Non-parametric tests relate to data that are flexible and do not follow a normal distribution. They are also known as.

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1. How does body complexity differ across the 3 phyla (Platyhelminthes, Nematoda, and Annelida)? What contributes to this increased complexity? Give 2 examples. 1. How does body complexity differ across the 3 phyla (Platyhelminthes, Nematoda, and Annelida)? What contributes to this increased complexity? Give 2 examples. Solution Answer: The variable body complexity is differ across the 3 phyla such as platyhelminthes, nematoda, and annelida because these are multicellular eukaryotes evolved with morphological innovations including development of locomotors organs and development of various adaptations to survive in the nature for predation. These are phyla such as platyhelimthes and nematyhelmithes. The helminthes parasites and species have developed various morphological adaptations for their survival in the host along with strong scolex to attach to the host internal surfaces. Nematodes locomotion (round worms, hook worms) and body complexity is variable because the locomotion of nematodes involves the somatic muscles mainly located under the hypodermis and these muscle contractions promoted to apply sufficient high hydrostatic pressure laterally to the cuticle with dorso-ventral bending to move in a sinusoidal manner (C. elegans) as an evolutionary adaptations. Annelids have circulatory system, primitive neural systems, and primitive evolutionary features of invertebrates. Annelid\'s body complexity has increased from lower phyla, platyhelminthes and nematoda. The body complexity has symmetrical and coelomate & they possess specific “parapodia” for locomotion. In some species such as earthworms, they have specialized a hydrostatic skeleton surrounded by several layers of longitudinal and circular muscles to promote locomotion into the deeper layers of soil. High metaolic activity, reproductive activity and increased body size have led to this increased complexity, as part of evolutionary aspects Platyhelmethis (tape worms): These are mostly parasitic in internal cavities of vertebrate digestive system with complex asymmetrical body- complexity. The most prominent segmentation phenomenon has promoted them with sexual reproduction and they use circular and longitudinal muscle fibers of somatic region located within proglattids; used in locomotion. For example, Hymenolepis diminuta is also called as rat tapeworm, belongs to cestoda and possess scolex and proglattids as structural adaptations..

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