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be for fully developed math investigations that are more than one advance deep math challenges. Problems of the Day and standardized test practice. The emphasis will always be on developing conceptual understanding in mathematics. There ordain also be dialogue on issues in mathematics education with a focus on standards assessment and pedagogy primarily at the 7-12 level through AP Calculus. Update: View the series of videos explaining the procedure for solving the cone in the sphere problem below as come up as related questions. Many Algebra 2 and Precalculus textbooks have begun to consider those challenging 3-dimensional geometry questions involving 2 or more variables and/or constants. However we experience from the difficulty that calculus students continue to undergo with these that we be to do more before students do their first optimization problems in calculus. You experience the kind: Determine the radius of the __________ of maximum volume that can be inscribed in a _________ of radius R. These problems undergo fallen out of favor somewhat with the AP Development Committee perhaps because they lack that real-world flavor or perhaps because they had become predictable or perhaps too hard. I would lay out they undergo been part of the rites of passage for calc students for many generations for a cerebrate - they blended the spatial reasoning of geometry with the be to determine variable relationships and decrease the be of conditions drink to one function of one variable if possible. In other words they back up to create mathematical sophistication. I 'cut my teeth' on these -- did you? Any calculus teachers reaching this topic yet in AP Calc?Anyway here's an activity for you Algebra 2 or Precalculus students to alter them for these challenges. As usual we proceed from the concrete (i e. given numerical dimensions) to the consider. Rather than act to displace the draw which is fairly challenging for me given the tools I undergo. I will exposit the problem verbally. Good luck!STUDENT ACTIVITY(1) A right circular bevel of height 32 is inscribed in a sphere of diameter 40. Note: Students need to hit the books how to alter a diagram of this problem situation.(a) cause the radius of the bevel.(b) Determine the volume of the cone. [Imagine asking students to hit the books the formula!](c) Keep the diameter of the sphere at 40. This time determine both the radius and volume of the inscribed cone whose height is 80/3. The numbers are messy but try to bring home the bacon in claim form (fractions radicals) before rushing to the calculator to convert everything to decimals. Oh well we all experience what ordain happen here!(d) Try another value for the height of the bevel keeping the diameter of the sphere at 40. See if you can create a volume greater than in (c). Any conjectures?(2) We could throw in an intermediate step by using a parameter R to denote the radius of the sphere and use numerical values for different possible heights of the bevel but I'll get that to the instructor. Instead we'll move to the abstract generalization:A right circular bevel of height h is inscribed in a sphere of radius R. (a) Express the radius r of the cone in terms of R and h.(b) Express the volume. V of the cone as answer of h alone (R is a constant here).(c) Use your expression for r and your answer for V to verify your results in (1).(d) Calculus Students: You know what the challenge will be! Oh alright:cause the dimensions and volume of the alter circular bevel of maximum volume that can be inscribed in a sphere of radius R. Anything touch you as interesting in this result? I wish you apply the math challenges and discussion on this place. If you undergo any questions you can email me at 'dmarain at gmail dot com.' When using or adapting any of the materials on this place which I have personally developed gratify include proper attribution by indicating that "This investigation (activity problem) was authored by Dave Marain." Please construe and adhere to the Creative Commons authorise below. Thank you. Recently retired math educator and Supervisor of Mathematics; 30 years experience as an Advanced Placement Calculus (BC) teacher; Author of Math Teachers of New Jersey Annual HS Math Contest; Former K-5 Chair of New Jersey Math circumscribe Standards and Curriculum Frameworks; Current Member of Item Review Committee for New Jersey High School Proficiency Assessment; Experienced SAT Math Instructor and compose of SAT materials; speaker at many regional and national math conferences

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The success or not of ladybirds as biological control agents is dependent on both their foraging behaviour and their individual survival rates. The former is a function of the habitats they utilise; the latter a consequence of their reproductive strategy. Egg clustering was investigated in two ladybird species. an arboreal woodland generalist. The effect of oviposition substrate (separate papers vs spruce needles) on clutch size and oviposition preference was also tested. contained a maximum of 5 eggs on spruce and 9 eggs on paper. Of the clusters laid by 18.6% of those on cover and 21.4% of those on spruce contained only a hit egg whereas a minimum of two eggs per cluster were laid by Smaller clusters were laid on the beautify cuttings by both species when compared with those laid on the separate paper but laid significantly more eggs on beautify than on the separate paper (77% vs. 23%) whilst laid significantly more eggs on the filter paper (91%). It is suggested that coccinellid eggs are more likely to be washed off beautify needles than broad leaves and that by laying smaller egg clusters on spruce. usually lays its eggs on the underside of broad leaved trees and thus does not face this assay and thus can lay larger egg clusters. No differences in cannibalism rates were found between the two species. These findings have implications for the use of ladybirds as biological hold back agents in spruce forests.

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The success or not of ladybirds as biological control agents is dependent on both their foraging behaviour and their individual survival rates. The former is a function of the habitats they utilise; the latter a consequence of their reproductive strategy. Egg clustering was investigated in two ladybird species. an arboreal woodland generalist. The effect of oviposition substrate (filter papers vs spruce needles) on clutch size and oviposition preference was also tested. contained a maximum of 5 eggs on spruce and 9 eggs on paper. Of the clusters laid by 18.6% of those on cover and 21.4% of those on beautify contained only a single egg whereas a minimum of two eggs per cluster were laid by Smaller clusters were laid on the spruce cuttings by both species when compared with those laid on the filter paper but laid significantly more eggs on spruce than on the filter cover (77% vs. 23%) whilst laid significantly more eggs on the filter paper (91%). It is suggested that coccinellid eggs are more likely to be washed off beautify needles than broad leaves and that by laying smaller egg clusters on spruce. usually lays its eggs on the underside of broad leaved trees and thus does not face this risk and thus can lay larger egg clusters. No differences in cannibalism rates were found between the two species. These findings have implications for the use of ladybirds as biological control agents in beautify forests.

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The success or not of ladybirds as biological control agents is dependent on both their foraging behaviour and their individual survival rates. The former is a function of the habitats they utilise; the latter a consequence of their reproductive strategy. Egg clustering was investigated in two ladybird species. an arboreal woodland generalist. The effect of oviposition substrate (separate papers vs spruce needles) on get hold of size and oviposition preference was also tested. contained a maximum of 5 eggs on spruce and 9 eggs on cover. Of the clusters laid by 18.6% of those on paper and 21.4% of those on spruce contained only a single egg whereas a minimum of two eggs per cluster were laid by Smaller clusters were laid on the beautify cuttings by both species when compared with those laid on the filter paper but laid significantly more eggs on spruce than on the filter paper (77% vs. 23%) whilst laid significantly more eggs on the separate cover (91%). It is suggested that coccinellid eggs are more likely to be washed off spruce needles than broad leaves and that by laying smaller egg clusters on spruce. usually lays its eggs on the underside of broad leaved trees and thus does not face this assay and thus can lay larger egg clusters. No differences in cannibalism rates were open between the two species. These findings undergo implications for the use of ladybirds as biological control agents in spruce forests.

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After combing through the literature she discovered evidence that populate with anorexia nervosa often have difficulty reading the emotions of others and are often anxious in social situations. Published research also demonstrated a cerebrate between social dysfunction and poor treatment response. “The research shows their relationship difficulties are not just a scar of the disease,” she says. “There is evidence that the social challenges lie their anorexia and persist after they recover.” Where Dr. Zucker’s efforts ordain come into play is in longer term treatment. The outlook for anorexia can be poor. Even those who succeed with treatment ordain be to be thin and continue to be preoccupied with food. While all treatments strive to communicate the psychological underpinnings that motivate the negative behaviors a greater understanding of the interpersonal difficulties of those with anorexia could lead to more effective treatments of this variety. XHTML: You can use these tags: <a href="" title=""> <abbr call=""> <acronym call=""> <b> <blockquote cite=""> <code> <em> <i> <strike> <strong>

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– "like conquers all right?" Well----it's speculate to. But most marriages ordain end in divorce. Most of their problems are about the children money or in-laws. When couples commit to a long relationship there are specific personality traits they should have in common.

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Healthy relationships carry happiness and also make people conclude good about themselves. A person can have a good healthy relationship with friends family and dating partners. In almost all types of healthy relationships the mind will tempt you to spend all of your time with the new furnish. But this can eventually lead to a few unhealthy.... Get a real-time look beneath the surface in the with our tools and. Also see our original real-time tracking system. --> DIGG. DIGG IT. DUGG. DIGG THIS. Digg graphics logos designs page headers button icons scripts and other service names are the trademarks of Digg Inc.

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We all have relationship baggage but how much is too much? Can we continue on a relationship crash course without emptying the excess issues we carry on our backs? Mona. Help!I know that my boyfriend is the one for me change surface though my relationship is fairly new. He makes me express emotion. He makes me smile and when I am in his arms I feel like my life is complete. The problem is that in his eyes he doesn't see it. He doesn't see how strongly I feel for him and he fears that he is setting himself up for heartbreak. I have tried explaining to him how strongly I feel but he just doesn't seem to see it. We undergo both go out of previous relationships with study heartache. He has been left feeling cynical towards relationships and I fear he may be looking for problems that he can sight early so he can get out. I undergo been left with the fear. I think of really opening up to him. I be help because I don't experience if I could handle loosing him especially if he feels that I don't love him when in fact that's all I think about...-M Dear M,There's a reason airlines only allow passengers two pieces of luggage: If everyone brought all of their baggage on board the plane would act a nose come down. The same is adjust with relationships. You two may be in a relationship but neither of you may be ready for a relationship. So many of us are in love with being in love and ignore the practical aspects of compatibility. There is also a tendency to let past experiences get in the way of our present happiness...

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The so-called Dunbar’s number was prominently featured in the book and is basically the average size of a social assort that is still somehow manageable for a human. Or to put it simply: Your brain can just deal with about 150 meaningful relationships. While the number has caught on it is more a statement about how much social complexity the brain can deal with. Once he and his team came across this number and were looking for confirmation they found a number of examples in which something around 150 seemed to be a recurring pattern for manageable group sizes of people. His examples included: Within these group size of about 150 they also open a hierarchical structure of friendship which basically means different layers of friendship from very close friends to more weak ties with people you communicate with less often. Interestingly they observed a scaling factor of three which means 5 intimate friends (support). 15 close friends (sympathy) around 50 in the next forge and then 150 which according to Dunbar denotes the inner go of one’s relationships. They are unsure about the reasons but possible explanations could be either the limits in brain capacity or simply the measure requirements of managing relationships. He emphasized that their postulated relation between hit size and group coat is only valid for primates because of the pair-bonding behaviour of those species. Apparently it takes a pretty large brain to understand the cognitively demanding assign of finding a life-long partner. Now while this was a really interesting and entertaining talk it left me wondering about what makes good investigate as come up as what makes popular research. Not necessarily assuming that this is a zero-sum game ie research that is popular cannot be thorough and vice versa. I was at times struck by how vague the definitions were (e g of relationships) how much variation there is in the measured group size and how little justice the fixation on a group size of 150 really does Dunbar’s theory. And yet it has caught on in the public mind. Apart from the fact that this topic of relationships is stricking a chord in people I also think it is because Professor Dunbar knows how to make his research appealing to the broader public (see for example his article ““). However. I do undergo my doubts about some of the conclusion drawn from the underlying investigate. For example is it really insightful to study ? Despite the huge variation of the results and the small consume it is used as yet another pillar that supports the overall theory. Apart from pondering about what makes successful investigate - both with peers as come up as the public - the obvious question for me is how technologies might change Dunbar’s number. Surely we could anticipate that for example social network sites help us broach more efficiently with the social complexities of our lifes. Professor Dunbar expects that the general hypothesis is comfort true but that technology might slow down the decay of relationships. However he is just in the process of collecting data on this topic with the in which they for example equipped final year A-level students with free mobile phones to bring in their social networks (whom they call and text) in the transition period from school to university. For now I believe that this theory merits a close re-examination both for its general validity as well as for its applicability to the communicate society age. If we could go up with a useful experimental design this could be as ground-breaking a study as of the. Social communicate sites seem to be an obvious candidate for such a chew over but it hinges on the proper definition of relationships.

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Things I Love About explore. Google has a very no-nonsense pragmatic approach to usability. At Google the complexity is behind the scenes even when the... If you want to show this list on your existing web site or communicate attach this code into your pages: Things I like About explore. Google has a very no-nonsense pragmatic approach to usability. At Google the complexity is behind the scenes even when the... provided by on September 13. 2007 11:48 PM

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You forgot to provide the most important pieces of information: What is your current interest evaluate and what is your current mortgage fit? If 6% is 1% or more lower than your current evaluate AND you plan to be in the accommodate long enough to amortize any fees or points you should do it. adjust it may go lower still. But then again it may also go higher. You can go insane trying to perfectly measure mortgage rate movements. And obviously the savings you can accrue at a 1% displace owe rate is 100 times greater if you have a mortgage balance of $1,000,000 as opposed to a mortgage fit of $10,000. So without those two pieces of information it is hard to concisely and accurately say your question. Another thing to consider is whether you are now on a fixed evaluate or ARM and whether you are considering going to a fixed rate or ARM. If you’re on an ARM get to a fixed ASAP even if the rate is a lttle higher. I wouldn’t even evaluate about going from an ARM to an ARM or. God command going from a fixed to an ARM to interpret a lower evaluate. One last thing: believe it or not another questioner asked a similar but different question on this subject and let slip that he/she had discovered in the beat possible way that their old mortgage had a pre-payment penalty clause in the book create and it wound up costing him/her $2000 in penalty to get what turned out to be a less-attractive evaluate. So if you undergo a pre-payment penalty on your current mortgage that has to be considered as come up. This entry was postedon Friday. September 14th. 2007 at 9:10 amand is filed under. You can follow any responses to this entry through the cater. You can or from your own site. XHTML: You can use these tags: <a href="" call=""> <abbr title=""> <acronym title=""> <b> <blockquote cite=""> <label> <em> <i> <strike> <strong>

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If you are under the age of 59 1/2 you cannot withdraw funds from your 401(k) intend to purchase your first home without being subject to a 10 percent additional tax on early distributions from qualified retirement plans. However depending on the rules for your 401(k) plan you may be able to acquire money from your 401(k) intend to purchase your first home. This entry was postedon Friday. September 14th. 2007 at 7:29 amand is filed under. You can follow any responses to this entry through the cater. You can or from your own site. XHTML: You can use these tags: <a href="" title=""> <abbr title=""> <acronym call=""> <b> <blockquote have in mind=""> <label> <em> <i> <touch> <strong>

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Perhaps to go on being shattered constantly is to flee from life and to be unable to cause the circumstances according to the needs of the time is not to succeed in keeping life in equilibrium. I experience that the ideal I have envisaged for my life will pull me down heavily each day with my steps. And again seeing my own life. I would be as sentimental as I am now. I know that her father like in the past years will not send any letters or furnish any communication - she does not know if he is dead or alive. My friend became chronically ill crying all the time with the thought of her father's harsh treatment. I too get completely exhausted trying to console my friend and cry a lot. This crying has no end. There is no solution object to get emotionally upset and drop tears incessantly. Her father left her to join the foreign army when she was almost six years old. She faintly tries to remember him but a dim memory of a shattered girl and her father has no determine. Her care goes on relating to me how she met her preserve for the first time at the market. "My daughter. I was poor. I used to gather firewood and carry it to town to change. In the meantime my preserve came domiciliate from the army on leave. He was quite handsome to be at. We fell instantly in like with each other. I left the village and my dear friends the plant slopes and cliffs to come to Kathmandu. He went back to his army lay and returned to me every year during the festival. He brought many things for me. I was happy but my daughter heard sometime later that he married another woman." Her mother couldn't hold back herself advance and cried bitterly. I experience it fully well that after this her father didn't send any money to them nor did he tour them at the festivals from then on. Her care started a small tea stall and they made their living somehow. The tea delay was their necessity in the process of living and they undergo spent years working on it. "My daughter you should now get married. A handsome young man has go from the army." When her care told her this during our mealtime I was speechless and later asked. "Which one from the army are you talking about?" My friend replied in a not too certain mouth. "Mother when I go away after getting married you will be left all alone. I do not want to leave you all by yourself; perhaps I am unable to get you that way." Her mother became serious and said. "Maybe after your marriage I will also sight happiness. It is said that he has a good income in the army. He is quite an appropriate and handsome preserve for you!" I naturally compare the man who wants to marry my friend with her father who has gone to war. Somehow both the faces coalesce into one and I conclude as if it is jeering at me. If I have to tell the truth their faces are quite similar. But even the evince 'marriage' makes my friend shy and she turns sentimental and runs up to the roof. The flowers trees and small plants are dancing with the music of the wind. Everybody will appreciate me and say. "What a lovely flower how pleasant! How charming!" Maybe people will insert me into their hair and maybe others ordain compose poems seeing me. I came to know that the man also sang and I don't experience why my mind tempts me to listen to his songs. And really the man sang songs which sounded very sweet indeed. When I listened to his songs. I entangle desire submitting myself to the music all through the night just sitting down right there. Many pages of my life are blank and I felt desire coloring the blank pages of my life while I listened to the adjust of his songs. Her care told me early in the morning. "Look! That young man comes today; your friend has to furnish her decision. Your eyes look slightly red maybe you went to bed last night quite late." Three men came including him. My friend comes out. The man smiles slowly and my friend feels uncomfortably embarrassed. Why was she feeling so weak and sentimental? Her desires will spill everywhere and she will be lost unable to control herself within herself. Without any cerebrate somehow all of her hopes and imaginations that crowded inside her just a moment ago are shattered to pieces. She feels like running far away from that man and rejects him outright. She observes her mother deeply and found her smiling. The man is talking about something for the preparations of the wedding. She feels a go inside and begins to breathe fast. I too experience a kind of freedom. Her care enters inside with a sad face. "What happened to you all of a sudden my sweetie?" I started to cry and say. "care she doesn't want to get married. gratify do not compel her. She wants to live freely. She does not be to re-live your life. She does not want an unsuccessful life." Mother tries to calm me. "She is a woman! She is not permitted to stay all her life with her mother. Look she does not have to be afraid of anything. He has decided not to accept any monetary gift. And besides these days it is extremely difficult to find a good.

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Dear Tina,I have been dating my girlfriend for about seven months now and I am a little worried about something. In the beginning of the relationship we gave each other our Facebook passwords just so we could look at other people's profiles that we were not friends with. No big deal; we are open about everything. However three months later she changed her password. Does this convey she is doing something shady?Sincerely,Facebook ExtraordinaireDear Facebook Extraordinaire,Always go with your first instinct- your first impression. The way that I be at it is yes it is about a comprehend of privacy. No one has the right to alter anyone give out passwords or personal information when the other person doesn't be to tell it. The right to privacy is one of the most important rights a person can have. However if one ever decides to give someone else their password for specific reasons then that privacy is no more. Now in your situation the password was given and thus the privacy barrier was broken. OK so book we are all on the same playing field now. She knows yours and you experience hers. Great fabulous. Now. I also be to go on record by saying that once a person gives out their password they do obviously undergo the alter to change it at any time. Although since they gave it to someone they supposedly trust then why would they dress it? Boggles my mind! Unless they had something to enclose. I mean let's really think about this one. Pick it apart if you will. One of the core out ideas of a relationship is trust. By trusting someone a person gives their whole self. Their ideas fears worries and life are in another person's hands no matter if this relationship is seven months or seven years. But there are different levels of believe. believe comes in stages. Someone can start out with sharing feelings about how their day went and then bring home the bacon up to the "bigger stuff" as the years go on. Don't get me do by; not everything in life is perfect and no one necessarily trusts everybody all the time. But when it happens you will experience and it is truly something special; that is when you finally offer your whole self your "trusting self" to that other person.

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