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length of the hypothenuse on your triangle. Of course this length will be larger or equal to 12 fathoms (it will be equal to 12 fathom when the boat will |
be right above the anchor) If we call "L" the length of the hypothenuse, then what you want is to write dx/dt in terms of dL/dt (which is the number |
they give you). All you have to do is to write an expression relating x and L (and other known values), isolate x in terms of those constants and L, |
and differentiate both dised with respect to t. You will get dx/dt = expression in terms of constant, L and dL/dt. |Similar Threads for: Stuck on couple related rates problems..| |
Edwin M. Stanton (1814-1869) Edwin McMasters Stanton was appointed U.S. attorney general by President James Buchanan, then became secretary of war under Abraham Lincoln, continuing in that post under Andrew Johnson. Outspoken and abrasive, he alienated Johnson by taking sides against him on the issue of Reconstruction ... |
resigned. He was nominated to the Supreme Court by President Ulysses S. Grant, but died four days after his confirmation. - 1864 circa 5 years - Original Format: - Photographic Print - Mathew Brady - download hi-res watermarked image All Licensed images are available for download as jpeg files at 300 dpi of original si... |
Hops is native to a great part of the northern half of the world, customarily located in northern European, west central Asian, and North American regions. The earliest reported case of growing hops was in central Europe in 736, with |
the ensuing centuries seeing hops grown extensively in Bavarian, Bohemian and Slovenian regions, and later in England. Hops was first cultivated in North America in 1629; cultivation began in Japan, China and Korea in the 1860s. Hops is produced in |
many different regions these days, but roughly three quarters of all hops originates from Germany, North America, and China. Traits and properties: The most widely recognized use of hops is to flavor beer, leading to its significance globally as a |
commercial agriculture product. While hops is a comparatively minimal component of beer, quantity-wise, it is a significant one since it imparts the unique bitter taste of beer, a property possessed uniquely by hops. Initially, hops was utilized in making beer |
since it not only imparts taste, but acts to naturally preserve beer, keeping it from turning sour and increasing its shelf life dramatically. This permitted beer to be shipped a long way, instead of having to be used near the |
brewery, allowing brewers to greatly expand operations. The earliest reported use of hops for medicinal purposes was by ancient Egyptians and Babylonians who were convinced it safeguarded against leprosy and plague. European medicinal use of hops goes as far back |
as its ninth century use to treat 'melancholy', acquiring the name vermifuge and effective for eradicating parasites. When the twelth century rolled in hops were recognized as an aperitif, a depurative, and a laxative and was applauded for its properties |
of sedating and relaxing. Later this was used as a treatment for people with liver problems and any general digestive complaints. On the North American continent, hops was widely utilized in native remedies, especially among Cherokee people who used it |
to treat rheumatism, swelling, pain, breast and female reproductive organ issues, kidney stones, and so on. In traditional Chinese medicine, hops is used for all sorts of different ailments like sleeplessness, restlessness, and for bad cramps; it is also used |
to treat lack of appetite. Chinese lab research has documented effective results with hops for treating conditions of TB, leprosy, bacillary dysentery, silicosis as well as asbestosis. The Ayurvedic Pharmacopoeia of India suggests the use of hops for anxiousness related |
to nervous stress, headache, and poor digestion, reporting it works primarily for sedation, hypnosis, and fighting bacteria. Nowadays, hops is used most often for its relaxing effect on nerves, and its properties of sedation to improve sleep habits. Positive effects |
on the female endocrine system have been noted, specifically in Europe, from hops. There is a high content of flavonoids, which is a form of phytoestrogens, and this has become a very common ingredient for natural breast enhancements. Clinical studies |
have shown that consumption of hops alone promotes breast development. In fact, beer which has a high hop content, has even been touted by some doctors as being a breast enhancer if consumed in large quantities. Yet other contemporary uses |
for hops are to treat IBS and premature ejaculation, along with its characteristics as a diuretic to help those retaining water or suffering excessive uric acid. Hops tea is apparently a wonderful remedy for delirium tremens, and you can add |
honey to it to ease the symptoms of bronchitis. In order to reduce the pain due to the inflammation of abscesses, boils, swellings, and neuralgic and rheumatic complaints including easing skin infections, eczema, herpes, and ulcers, Hops tea is used |
as an external application in the form of a poultice. Dried hops has long been sewn into pillows to combat insomnia and nightmares. Hops is used in shampoos to treat dandruff and oiliness due to its anti-septic and sebhorrheic traits, |
and has lately been considered beneficial for growing and conditioning hair and scalp, leading to its use in a lot of hair growth items. Hops is actually good for the skin in general as it stimulates the cutaneous metabolism, so |
central America/Caribbean and in Europe. North and east Siberia as well as far north east Asia are home to a small group of species which are either endemic (P. algida, P. ramose and P. variegata) or widespread (P. villosa, P. alpina, P. macroceras and P. vulgaris). The Himalaya in southern Asia is also hosting P. alpi... |
north eastern and western coats of the USA are colonised by 3 species that can also be found in Europe or Asia (P. vulgaris, P. villosa and P. macroceras). The south eastern tip of the USA is also host to a group of related and endemic species. A few additional and endemic species are scattered on the slopes of the And... |
America from Columbia to Terra del Fuego in Argentina. Even though Pinguicula can be found on many continents, most species have very restricted distribution ranges and can actually exist as just a few isolated colonies. On the same way, plant density may be high on a limited surface of land but individual colonies may... |
this rule. P. vulgaris has the largest distribution range, covering most of northern America, Greenland, Iceland, many parts of Europe and north western Russia. A closely related species, P. macroceras, covers the coats of north eastern Asia and north western America. P. villosa can be found on most of the arctic circl... |
parts of Europe, the Himalaya, north western Russia and northern Siberia. Species with mid-size distribution ranges include P. lusitanica and P. grandiflora in western Europe. Most Pinguicula species originate from cold to very cold habitats at high latitudes or altitudes. Only the south eastern USA and Caribbean speci... |
the northern part of the Mediterranean ocean and some Mexican species will be intermediate in their temperature requirements since they will need non-freezing winters and will appreciate warmer conditions during the summer. The only climatic conditions that are common to all Pinguicula are a very humid air, air tempera... |
(often with flowing rather than standing water). Most Pinguicula will be found growing in calcareous and rocky soils. However, some species are found in acidic bogs (P. lusitanica, P. corsica), some in sphagnum moss (P. villosa) and some on tree branches (P. casabitoana, P. lignicola). Previously published groupings of... |
versus tropical types). The species of each type were subsequently divided into two subgroups on their ability to produce different leaves early in the spring and in the summer (homophyllous versus heterophyllous). Recent genetic studies do not totally support such views. Nevertheless, such clustering of species transl... |
bud made of scale-like non-carnivorous leaves in the winter. Such buds bear no roots with the exception of P. alpina (Asian species still need to be examined for this criterion). They should all be kept near or below freezing temperatures as long as they are formed. They indeed need to stay cold for a certain time befo... |
higher temperatures. They are also sensitive to rotting if in contact with a non-frozen damp organic substrate. Tropical species can either form carnivorous leaves all year long (homophyllous group) or develop a more or less compact winter bud made of succulent, non-carnivorous leaves (heterophyllous group). Most tropi... |
periods do not last long and are quickly replaced by warmer conditions. Rosette sizes rarely diminish during such times. Growth may simply cease to resume as soon as temperatures warm up. Plants keep their roots all through the winter season and need to be kept wet all year long. Prolonged near-freezing conditions neve... |
in the warm seasons. In the winter, they form more or less tight hibernacula made of succulent leaves. Winter hibernacula contain few or no root. They are very sensitive to rotting and should be kept dry until they resume growth. They should also be kept cold (below 10°C) and can stand below freezing temperatures is th... |
many tiny glands on their surface to glue, digest and eat insects and plant debris that are small enough not to escape. After catching a prey, the leaf rolls slowly around its catch to form a bowl below it or increase contact. Pinguicula leaves harbour 2 types of glands: pedunculate glands that bear a drop of mucilagin... |
see on the surface of the leaves and that generate rainbows when the sun shines on them), and sessile glands that lay flush on the leaf surface. The peduncles are made of only one cell and are therefore very small. The sessile glands do not generate large enough bodies of liquids to be seen by the human eye. For most s... |
only present on the upper surface of the leaves. But, in a few examples, they can be found on both sides of the leaves (P. gigantea, P. longifolia subsp longifolia). In that later case, the leaves are permanently erect or hanging in the air to prevent contact of the carnivorous underside of the leaves with the substrat... |
surface is purely related to the species and not to the state of feeding of the plant. The pedunculate glands are involved in mucilage production (to glue preys). They secrete few digestives enzymes that are mostly produced by the non-mucilaginous sessile glands. Upon prey capture, the movement of the prey will trigger... |
from a reservoir cell located below the peduncle. As the reservoir empties itself, the gland sinks in the epidermis, therefore creating the curling effect. Together, bowl-formation and the mucilage will prevent the digested matter from escaping before being taken up. The small enzymatic activity of the early secretion ... |
large enzyme production by the sessile gland. This secretory system is a ‘one-off’ system that will fire itself completely in one go and will not function again a second time if a second prey were to fall on the same spot. Secretion and absorption through the glands is made possible thanks to the presence of holes (cal... |
cover of the leaf) on top of the glands. These holes are like wounds through which the plant ‘bleeds’ (hence the droplets we see) permanently, placing its interior in direct contact with the outside world. Such cuticular holes are very rare for plants since they lead to dehydration and represent entry gates for infecti... |
from developing. However, dehydration is a problem for Pinguicula which dehydrate faster than normal plants and will only perform best in very humid environments when they express carnivorous leaves. This phenomenon is worsened by the weak root system of Pinguicula which cannot pump much water quickly. In their non-car... |
of winter resting plants will still require a fairly humid air. Laws of physics reveal that water vapour pressure at a given relative humidity value (RH) increases exponentially as the temperature is raised. Lower exponential curves are obtained for lower relative humidity values so that the curves are very close to ea... |
Fig 3 : Psychrometric charts The above laws of physics also reveal that the sudden lowering of air temperature will lead to leaf dehydration even of the air is saturated in humidity. In this scenario, the plant is warmer than its environment. This will create a water vapour pressure deficit between the plant and its en... |
dehydration effect will be more pronounced if the outside air is dry, if the original temperature is high or if the drop in temperature is severe. This may explain why Pinguicula in their native habitat and in cultivation do best in an environment where temperature does not fluctuate too fast or too much during the day... |
Epiphany can be defined as the sudden realization of the essence or meaning of something, as well as the understanding of the truth of certain situations or one’s life as a whole. In Death in Venice, Gustav von Auschenbach’s recognition of his love for and obsession with Tadzio is a kind of epiphany that, while not exa... |
which the character experience complete clarity and begins to express honesty about his previously rejected desires. Gustav von Auschenbach, having led a life of dedication to his craft, prides himself on disciplined perfectionism and dignity. His life up to the point at which the novel takes place has been largely une... |
opening. His exchange with a strange gondola rower who turns out to be a criminal, as well as his sighting of a disturbing old man dressed to look youthful are both v aguely perilous encounters which serve to establish Gustav’s uneasiness. Upon discovering Tadzio, Gustav slowly allows his principles and dignity to erod... |
desires that Gustav has repressed in the interest of being fully committed to his work. The end result of this obsession, however, is the writer’s death. While not necessarily in the dark before this epiphany, von Auschenbach was certainly very repressed. After feeling a vague need for a vacation, he travels to Venice ... |
that, given his principles, is extremely hard to verbalize. However, when he finally declares, “I love you,” it is clear that he has accepted the truth about his feelings and desires. Though neither overtly religious or spiritual, von Auschenbach’s epiphany marks a change in his profound change in his state of mind and... |
solely brought on by the travel experience, before which von Auschenbach had lived a stable and principled life. His deeply ingrained longings were awakened through his trip to Venice and his sighting of Tadzio. While von Auschenbach’s Venetian experience led him to a greater freedom and honesty, which is not to be ign... |
is not always positive, as indicated by Death in Venice. Discovery, especially self-discovery, can be quite painful and sometimes thoroughly detrimental. Gustav von Auschenbach, having lived a monotonous and increasingly stagnant life was unable to process the hard truths of his dangerous desires, considering them fore... |
it was certainly a moment of complete honesty, von Auschenbach’s revelation and declaration of his love led him to further introversion. The downward spiral that began with the first time he laid eyes on the young boy grew from a preoccupation to a complete obsession leaving him unable to focus on anything else and cha... |
This epiphany of his uncontrollable lust led to his bizarre death but allowed him to gain a deeper knowledge of himself. In the biography of Naguib Mahfouz it is mentioned that the 1919 revolution in Egypt greatly affected the author. While Mahfouz wrote a novel more directly related to the revolution (Palace Walk) ele... |
Fattouma. Ibn Fattouma sets out on his journey to find Gebel, a promise land of sorts. He makes his way through different societies along the way, and encounters many different lifestyles. He flees his home city because of the corruption that exists there, but as he travels through the different lands, he finds that pr... |
easily be seen in the first place Fattouma settles, Mashriq. The whole society is based on a free love, free thought foundation, a stark contrast to more rigid societies. Even though this culture is open and free spirited, it is not without rules and regulations, and Fattouma rebels against these guidelines by trying t... |
lands reflect revolution through their insistence on upholding freedoms and security, and in the final land that he enters, the importance of self awareness. The majority of Ibn Fattouma’s resistance is passive, relating directly to the Egyptian revolution, which was a non-violent effort to stop the British occupation ... |
Fattouma finally catches a glimpse of the land of Gebel and the book’s ending before we learn about the secrets the place may hold. Gebel is Ibn Fattouma’s chance to create a better existence for the people in his homeland. He travels for years in order to find this elusive land, and we never find out if he finds what ... |
travel to see new places and things and gain new experiences that will help them change their view of the palce they call home. Fattouma travels for exactly this reason, to find something in a distant land that will change the place he came from. As readers we don’t see the final leg of his journey because this secret ... |
There is no one secret to perfection in life, and we do not see Gebel because Ibn Fattouma has already learned what he needs to know to make his homeland a better place. Through his travels he has learned to accept other cultures and is able to embrace their strengths and weaknesses. It is the skill, not the instant li... |
Gebel, that will potentially help him make his home a better place. I really like Ian McEwan’s novels. Before reading The Comfort of Strangers I had read Atonement, and found both to be interesting and engaging. McEwan’s stories are often dark and sinister, turning everyday moments into tragic events. There is somethin... |
however disturbing the situation might be. As I began reading The Comfort of Strangers, I was instantly drawn in by McEwan’s style, but I was waiting to stumble across the story-altering twist, the piece of information that would drastically change the meaning of everything before it. With twelve pages left in the book... |
wall of pictures of Colin. I’m not usually the type of person to yell at the characters in horror movies or books, I don’t usually tell them to leave the dark, scary basement, but McEwan made me care about Colin and Mary, and as Mary saw the pictures on the wall, I wanted her to run as fast as she could away from the |
crazy woman next to her. Even though I had expected things to go badly for Colin and Mary, when everything went downhill I wasn’t expecting how horribly wrong it would become. I was expecting some sort of confrontation between Robert, Caroline and Colin, but I was not expecting it to end in death, or at least not death... |
murder removes any of the romanticism that sometimes accompanies death in fiction; there are no dramatic final words, no tearful goodbyes. Because the story shifts to Mary’s perspective, we drift in and out of consciousness with her and miss Colin’s final breath, making his death even more sinister. I think McEwan’s ma... |
the dangers of travel. His characters go off to Italy to rediscover the strength in their relationship, and instead find themselves facing down death. It is this idea, that any traveler at any time in any place could easily fall victim to a dark and sinister death at the hands of someone more familiar with their surrou... |
the entire story. Anyone could take a wrong turn and end up in a dark alley with an unsavory character, but that’s not exactly highlighted in any of the travel brochures that promise fun times and beautiful scenery. Colin and Mary wanted an authentic experience so much that they were unable to see the danger their new ... |
to England once. I had always wanted to travel there, and I had finally gotten my chance with a trip through school. I was very excited, ready to see all the sights and hear all the British accents. Without actually visiting, I had decided that England was my favorite country, though I couldn’t tell you why. Perhaps it... |
rolling hills looked in pictures of the English countryside, although it could just as easily been the funny hats the Queen’s guards wear, I was always intrigued by the little things. In any case I had never been so excited for a trip in my life. After a plane ride that seemed to take forever we landed at Heathrow airp... |
out of the terminal and onto our little bus, perfect for our group of ten people. I’m not sure how long it took, be we ended up in the tiny town of Frome. Our hotel was small, but the sliding door in my room opened onto the lawn overlooking a perfect set of rolling English hills. We spent the next ten days taking day |
trips on our bikes to all sorts of beautiful and exciting places like Stonehenge and the historic bathhouses in Bath. We saw caves and monuments and lots of rolling hills. I actually spent some time getting very lost on one of those hills, surrounded by tall grass and sheep. All these experiences were enjoyable and int... |
had wanted them to be. About halfway through the trip we spent a day off schedule. This was the first day that we didn’t have every moment planned out, and it turned out to be the most interesting. Our bike trip for the day took us to a beach. It was July, but the air was cool and the water was cooler and the |
beach was deserted. Instead of sand the entire beach was made up of smooth, beautiful rocks and pebbles. We spent about two hours just having fun, running around over the shining rocks, trying to skip stones and some of us even dared to brave the chilling water. It was on that rocky beach that I began to feel like this... |
be something unbelievably important in my life. There was something about sitting on the smooth rocks, staring out to the horizon that spoke to me better than a guided tour of Stonehenge ever could. I can’t say exactly why that moment was so important to me, but It was the moment my trip really began. I sat on that bea... |
the ocean, thinking that if only I could see far enough, I could see America, I could see the east coast that I called home. To be fair if I had seen any big mass of land it most likely would have been Ireland, but the idea of seeing my home from a completely different angle was fascinating to me. We left the beach, |
but I took a part of it with me, using the feeling of looking at things in different ways to enhance the rest of my trip. I’ll never forget the feel of those wet rocks beneath my bare feet, and I’ll never forget how my trip to England forever changed the way I travel. While many of the novels we read had elements of |
epiphany, there were a few that stood out the most. I think that the epiphany in Sputnik Sweetheart is perhaps the most unique epiphany that we read about. When Sumire realizes that in order to be happy with Miu, she has to seek out a part of Miu that no longer exists in their current reality. In many ways this relates... |
most people travel in the first place. In many cases, travel is a tool for discovering another part of or way of life that is not evident in one’s everyday life. People travel to escape the banality of the day-to-day, and they go searching for something more. In Comfort of Strangers for example, Colin and Mary go to It... |
strength that will help them improve their relationship. They too, embark into an alternate type of reality, a reality parallel to their own that is only accessible to them because they are traveling. The realization that Sumire comes to is life altering, not only for Sumire, but for Miu and the narrator as well. By se... |
she knows, Sumire leaves the people she cares about in the dark. They are greatly affected by her departure and go to great lengths trying to find her. The question is, was Sumire’s epiphany a good thing or a bad thing? Because we don’t follow Sumire on her journey, we aren’t really aware if she found what she was look... |
see the damage her disappearance does in the lives of Miu and especially the narrator. In The Comfort of Strangers, Colin and Mary experienced a moment that seems to help them realize a goal of their trip. Much of this class has been based around the idea of finding the authentic experience through travel. While in the... |
to experience the pleasure, unique to tourists, of finding themselves in a place without tourists, of making a discovery, finding somewhere real…they in turn asked the serious, intent questions of tourists gratified to be talking at last to an authentic citizen.” (McEwan, 29) They manage to find a small sliver of authe... |
story, what comes of this discovery is perhaps more pertinent. Later in the story, the couple realizes that their authentic encounter with Robert has actually caused a great detriment to their ability to completely enjoy their trip. They spent so much time searching for something authentic that once they found it faile... |
the idea that while authentic experiences are welcome, it is important to realize that the safety and familiarity of tourist experiences are indispensably valuable. I don’t believe in God. Not the God of my Catholic school classmates, the one who didn’t exist when they were out partying on Saturday nights, drinking and... |
for their sins, even if they were still hung over. This God hasn’t appealed to me since I was twelve, when I decided I didn’t want to be confirmed in my parents’ church. I guess I believed in God before that, but I can’t remember. I know I liked going to church on Sundays and baking the bread for Communion in my Sunday... |
class. I have never been to Europe and been inside the Duomo in Florence, or the Siena Cathedral or walked around the Cathedral Complex at Pisa, but I do study art history, so I know what they look like. They are impressive, especially when you think about how they were built. They didn’t have modern technology. These ... |
they move towards High Gothic, towards the sky, were built by hand. Many workers, stonemasons and artists and sculptors, put their entire life into a building that wasn’t completed in their lifetime. The first time I walked into the Cathedral of St. John the Divine in Morningside Heights, near Columbia, I got goosebump... |
the world, and the third largest church). Like, jaw-dropping huge. Bobst is overwhelming in its own way, but Bobst is not a House of God. This building was constructed (with a lot of problems along the way, not unlike many of the thirteenth and fourteenth century churches) as a monument to this Lord. It was designed by... |
changed many times, and it is still unfinished. But despite all of this, it is still a House of God. I remember standing in the nave the first time I went there and being overwhelmed. I have already said I don’t believe in God. And I still stand by that statement, but for that moment, I felt like there had to be someth... |
this: people have devoted their entire lives to this building, and hundreds and thousands of people have devoted their entire lives to churches and cathedrals across Europe. Are they doing their lives’ work for something or someone that doesn’t exist? It made me hope that there was something to it: that there really is... |
many people have devoted too much time to something for it not to exist. On the Road is one of, if not the most important book of the Beat Generation. It defines an era, an attitude, a way of life. And it is utterly annoying and frustrating. I read On the Road and Dharma Bums in high school, and I enjoyed them both, bu... |
rereading this novel was torturous. I haven’t had any experiences like some of the people in our class, although I have felt out of place in my life, but I found nothing to identify myself with Sal and his friends. They were selfish, whiney alcoholics and drug addicts, looking for something to waste time on. I think ma... |
but this fact didn’t redeem their aimless lives. I don’t think Jack Kerouac’s value as an American novelist can be debated, because he surely embodied the aimless feeling of this generation, but I think in many ways he is seen as a role model, and many teenagers and young adults have the desire to embody his lifestyle ... |
he did. I think what is missing here is what he discovers at the end. How do his journeys change him, or inspire him to change; what does he learn? I read the book before, and I remembered nothing about it. I think that says something. The novels we love the most we may forget, but when we start to read them again it |
comes back to us. On the Road stayed a mystery all the way through. I didn’t learn anything from Sal or his friends, except maybe what not to do. A Concise Chinese-English Dictionary by Xiaolu Guo suggests a kind of epiphany very different from what an epiphany is traditionally thought to be. The Oxford English Diction... |
some divine or superhuman being,” and this is typical: a religious experience. But Xiaolu Guo makes the idea of an epiphany a very ordinary, everyday experience, without removing the sacred from it. In the novel Zhuang is living in a foreign country, learning about both the culture she is trying to become a part of and... |
both a dictionary and a journal. Each entry is a new word: it contains the definition, provided by a dictionary, and her experiences of the word. Each new word, and each new entry, is a kind of epiphany. She is not just learning words but she is learning what they mean, and how their meaning affects her life. In learni... |
a time-limited thing. Not infinite. It only exist in particular period of time. In Chinese, Love is (ai). It has no tense. No past and future. Love in Chinese means a being, a situation, a circumstance. Love is existence, holding past and future. If our loved existed in Chinese tense, then it will last for ever. It wil... |
does not have past, present, or future tenses. Everything is in one tense: this makes learning English very difficult because the Chinese speaker must learn that things exist “in a particulr period of time:” she must learn this about love as well, but not in the abstract way in which she learns is school. She is not le... |
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