Aplicação da integral no cálculo de área.

Vídeo que mostra detalhadamente uma das aplicações da integral definida para o cálculo da área delimitada por duas curvas. Todos os cálculos são feitos passo a passo.

Noções de Cálculo Diferencial e Integral para Tecnólogos

Livro completo

Cálculo Diferencial e Integral - Derivadas e Aplicações

A apresentaçãp fala inicialmente sobre a existência da derivada num ponto; fala sobre a condição de que uma função ser contínua em a não implica ter derivada em a. Apresenta também exemplos importantes de tais funções. Na sequência apresenta a caracterização das derivadas, derivadas laterais e funções importantes que possuem derivadas (funções constante, linear, polinomial, racional, trigonométrica, logarítmica e exponencial). Para dar andamento são apresentadas as notações que são usadas no cálculo diferencial para derivada de 1ª ordem e de ordem superior assim como derivada de funções elementares. As regras básicas, como derivada da soma, diferença, produto e quociente de funções deriváveis são mostradas e exemplificadas no tópico 3. Na sequência são apresentadas outras definições e propriedades importantes que são: Regra da cadeia; Fórmulas que seguem do uso da regra da cadeia; derivadas implícitas; aplicações (Cálculo das retas tangentes e normais, e dos limites indeterminados).

Cálculo de integral indefinida por mudança de variável [Audiodescrição]

Versão com menu acessível para leitores de tela e vídeo com audiodescrição.

Aplicação da integral no cálculo de área [Audiodescrição]

Versão com menu acessível para leitores de tela e vídeo com audiodescrição.

Pão Integral

Imagem componente do jogo “DigesTower (http://www.loa.sead.ufscar.br/digestower.php)” desenvolvido pela equipe do Laboratório de Objetos de Aprendizagem da Universidade Federal de São Carlos (LOA/UFSCar).

An investigation of Hebbian phase sequences as assembly graphs

Hebb proposed that synapses between neurons that fire synchronously are strengthened, forming cell assemblies and phase sequences. The former, on a shorter scale, are ensembles of synchronized cells that function transiently as a closed processing system; the latter, on a larger scale, correspond to the sequential activation of cell assemblies able to represent percepts and behaviors. Nowadays, the recording of large neuronal populations allows for the detection of multiple cell assemblies. Within Hebb's theory, the next logical step is the analysis of phase sequences. Here we detected phase sequences as consecutive assembly activation patterns, and then analyzed their graph attributes in relation to behavior. We investigated action potentials recorded from the adult rat hippocampus and neocortex before, during and after novel object exploration (experimental periods). Within assembly graphs, each assembly corresponded to a node, and each edge corresponded to the temporal sequence of consecutive node activations. The sum of all assembly activations was proportional to firing rates, but the activity of individual assemblies was not. Assembly repertoire was stable across experimental periods, suggesting that novel experience does not create new assemblies in the adult rat. Assembly graph attributes, on the other hand, varied significantly across behavioral states and experimental periods, and were separable enough to correctly classify experimental periods (Naïve Bayes classifier; maximum AUROCs ranging from 0.55 to 0.99) and behavioral states (waking, slow wave sleep, and rapid eye movement sleep; maximum AUROCs ranging from 0.64 to 0.98). Our findings agree with Hebb's view that assemblies correspond to primitive building blocks of representation, nearly unchanged in the adult, while phase sequences are labile across behavioral states and change after novel experience. The results are compatible with a role for phase sequences in behavior and cognition.

Ocorrência de Bacillus cereus em leite integral e capacidade enterotoxigênica das cepas isoladas

Pesquisaram-se a presença de Bacillus cereus e a produção de enterotoxinas produzidas por esses microrganismos em 120 amostras de diversos tipos de leite. Bacillus cereus foi isolado e identificado em 22 (73,3%), 15 (50,0%), 29 (96,7%) e quatro (13,3%) amostras de leite em pó, cru, pasteurizado e UAT (longa vida), respectivamente. Para a detecção de enterotoxinas pela técnica da alça ligada de coelho, foram positivos, respectivamente, três (13,6%), um (7,1%) e 10 (35,7%) microrganismos isolados das amostras de leite em pó, leite cru e leite pasteurizado. Pelo teste de aumento de permeabilidade vascular, dois (9,1%), um (7,1%), um (3,6%) e um (4,0%) microrganismos isolados de leite em pó, cru, pasteurizado e UAT apresentaram-se enterotoxigênicos, respectivamente. O uso da técnica de aglutinação passiva em látex demonstrou a produção da toxina diarréica por três (33,3%), sete (63,6%), quatro (30,8%) e oito (80,0%) microrganismos isolados, respectivamente, de leite em pó, cru, pasteurizado e UAT. Os resultados indicam um risco potencial, podendo colocar em risco a saúde dos consumidores desses produtos.

Problemas e modelos que contribuíram com o desenvolvimento do cálculo diferencial e integral: dos gregos à Newton

This article refers to a research which tries to historically (re)construct the conceptual development of the Integral and Differential calculus, taking into account its constructing model feature, since the Greeks to Newton. These models were created by the problems that have been proposed by the history and were being modified by the time the new problems were put and the mathematics known advanced. In this perspective, I also show how a number of nature philosophers and mathematicians got involved by this process. Starting with the speculations over scientific and philosophical natures done by the ancient Greeks, it culminates with Newton s work in the 17th century. Moreover, I present and analyze the problems proposed (open questions), models generated (questions answered) as well as the religious, political, economic and social conditions involved. This work is divided into 6 chapters plus the final considerations. Chapter 1 shows how the research came about, given my motivation and experience. I outline the ways I have gone trough to refine the main question and present the subject of and the objectives of the research, ending the chapter showing the theoretical bases by which the research was carried out, naming such bases as Investigation Theoretical Fields (ITF). Chapter 2 presents each one of the theoretical bases, which was introduced in the chapter 1 s end. In this discuss, I try to connect the ITF to the research. The Chapter 3 discusses the methodological choices done considering the theoretical fields considered. So, the Chapters 4, 5 and 6 present the main corpus of the research, i.e., they reconstruct the calculus history under a perspective of model building (questions answered) from the problems given (open questions), analyzing since the ancient Greeks contribution (Chapter 4), pos- Greek, especially, the Romans contribution, Hindus, Arabian, and the contribution on the Medium Age (Chapter 5). I relate the European reborn and the contribution of the philosophers and scientists until culminate with the Newton s work (Chapter 6). In the final considerations, it finally gives an account on my impressions about the development of the research as well as the results reached here. By the end, I plan out a propose of curse of Differential and Integral Calculus, having by basis the last three chapters of the article

Atenção à saúde da pessoa idosa na estratégia saúde da família no município de Santo Antônio/RN: um estudo de caso

According to demographic estimates, by the year 2025 Brazil will be the sixth country in the world in number of elderly. For this reason, it is a purpose of public policies to help people to reach that age being healthier. The current health care model of health surveillance through the Family Health Strategy (EFS, in portuguese) is configured as a gateway into the care of the elderly in the Unified Health System (SUS, in portuguese). It is also an area of development of practices to promote health, prevention and control of chronic nondegenerative diseases. The aim of this study was to analyze the health care of the elderly provided by ESF professionals for the achievement of a full care. The study is descriptive case study with a quantitative approach, performed in the city of Santo Antônio/RN. The population included all health professionals, who are FHS members of the city that agreed to participate of the survey, a total of 80 professionals. Data were collected using a structured questionnaire, having mostly closed questions and divided into two parts: one containing sociodemographic information of health professionals and vocational training and the other, the activities carried on by the professionals in senior care, being analyzed from a database tabulated in a spreadsheet and discussed according to the descriptive statistics in tables, graphs and charts using frequencies, medians and values of central tendency. It was verified a predominance of professionals who finished highschool, mostly female, aged from 30 to 34 years old, with training completed in the last 10 years, without being graduated in the field of geriatrics or gerontology and mostly without training in gerontology. Family members and caregivers were the components of the social support network most identified by the professionals (66.3%).The elderly access to the Family Health Basic Unit was considered by83.8% of professionals as the most important factor that interferes in the activities of health care of the elderly. Considering the inclusion of the family in care: 98.8% of professionals consider the family as one of the goals of care, but 82.5% assist the family to know their role and participate in the care of the elderly, emphasizing that no professional makes use of tools for evaluating the functionality of the family. Regarding the actions taken to assist the elderly, 91.25% have home visits program to the elderly, 88.75% use the host program; 77.5% know the habits of life, cultural, ethical and religious values of the elderly, their families and their community ;51.25% complement the activities through intersectoral actions, 50%participate in groups of living with the elderly; 33.75% keeps track and maintain updated the health information of the elderly; 11.25% of the professionals perform the Single Therapy Planning (PTS, in portuguese) and few implement the actions to promote health according to PTS; there is a deficit in the number of professional categories in the identification and monitoring of the frail older people in their households. It is concluded that the health care of the elderly developed by ESF professionals differs among the professional categories. It was identified weaknesses in the promotion of an active and healthy aging and also in the establishment of an integrated and full care of the elderly. It is recommended the adoption of permanent educational activities by the City Management, initially for ESF professionals in the the perspective of the guidelines of the National Policy of Health Care for the Elderly and later to the other professionals that are part of the health care network of the elderly, at all levels of care in the city for the development of strategies and practices that promote the improvement of the quality of healthcare for the elderly, expecting concrete and effective results in terms of promoting health within Brazilian reality

Efeito do processamento da soja integral sobre a energia metabolizável e a digestibilidade dos aminoácidos para aves

Essa pesquisa foi desenvolvida para se avaliar o valor nutricional da soja integral submetida a diferentes processamentos. Quatro ensaios de metabolismo foram conduzidos para determinar os coeficientes de digestibilidade da matéria seca (CDMS), do extrato etéreo (CDEE) e dos aminoácidos e os valores de energia metabolizável aparente e verdadeira da soja integral desativada (SID) e extrusada (SIE) e das misturas de farelo de soja com óleo degomado de soja (FSO) ou com óleo ácido de soja (FSOA). Nos ensaios um e dois, utilizou-se a metodologia tradicional de coleta total de excretas com pintos e galos, respectivamente. A metodologia da alimentação forçada com galos adultos intactos foi utilizada no ensaio três, e com galos cecotomizados, no ensaio quatro. Os CDMS e CDEE e a energia metabolizável determinados com galos foram superiores aos determinados com pintos. Os maiores valores de CDMS, CDEE e de energia metabolizável foram obtidos para FSO, seguidos pelos da SIE e FSOA, e os menores, para a SID. O processo de extrusão proporcionou melhores resultados no aproveitamento da gordura do grão de soja e, conseqüentemente, da energia. Entretanto, a digestibilidade dos aminoácidos não foi influenciada pelos processamentos. Os diferentes processamentos conferiram à soja integral características nutricionais que se distinguiram, principalmente quanto ao valor de energia metabolizável, que também variou com a idade das aves.

Hidrolisados protéicos de mucosa intestinal, levedura e proteína isolada de soja em dietas com leite em pó integral para leitões desmamados

Avaliou-se o efeito da substituição parcial do farelo de soja (FS) por hidrolisado protéico do conteúdo celular de levedura (HPCCL), proteína isolada de soja (PIS) ou hidrolisado protéico de mucosa intestinal de suínos (HPMIS) em dietas com leite em pó integral (LPI) sobre o desempenho, os níveis séricos de uréia e a incidência de diarréia em leitões desmamados. Foram utilizados 40 leitões desmamados aos 21 dias de idade (20 machos castrados e 20 fêmeas), distribuídos em delineamento em blocos ao acaso, com cinco tratamentos (dietas) e oito repetições. As dietas foram fornecidas em três fases, de acordo com a idade dos animais: fase pré-inicial 1 (21 aos 35 dias de idade): dieta à base de milho e farelo de soja (FS); dieta com 15,0% LPI; dieta com 15,0% LPI + 3,5% HPMIS; dieta com 15,0% LPI + 5,0% de PIS; dieta com 15,0% LPI + 5,0% HPCCL. Na fase pré-inicial 2 (36 aos 49 dias de idade), foi mantida a dieta à base de milho e farelo de soja e o LPI foi reduzido para 7,5% em todas as dietas, o HPMIS para 1,5%, a PIS para 4% e o HPCCL foi mantido em 5%. Na fase inicial (50 aos 70 dias de idade), foi mantida a dieta à base de milho e farelo de soja, o LPI foi retirado de todas as dietas e os animais que nas fases pré-inicial 1 e 2 foram alimentados com as dietas contendo LPI e LPI + HPMIS passaram a ser alimentados com a dieta à base de milho e farelo de soja; a PIS foi reduzida para 3% e o HPCCL para 2,5%. No período de 21 a 35 dias, a dieta LPI + PIS proporcionou maior ganho diário de peso e melhor conversão alimentar. Nas fases seguintes, não houve diferença no desempenho entre as dietas. Até cinco dias após o desmame, os animais alimentados com as rações FS e LPI + PIS apresentaram menor índice de diarréia. Os níveis séricos de uréia não foram influenciados pelas dietas. A utilização de PIS, HPMIS e HPCCL em dietas complexas contendo leite em pó pode consistir em alternativa biologicamente viável em dietas para leitões.

Otimização de forma aplicando B-splines sob critério integral de tensões

This work proposes a computational methodology to solve problems of optimization in structural design. The application develops, implements and integrates methods for structural analysis, geometric modeling, design sensitivity analysis and optimization. So, the optimum design problem is particularized for plane stress case, with the objective to minimize the structural mass subject to a stress criterion. Notice that, these constraints must be evaluated at a series of discrete points, whose distribution should be dense enough in order to minimize the chance of any significant constraint violation between specified points. Therefore, the local stress constraints are transformed into a global stress measure reducing the computational cost in deriving the optimal shape design. The problem is approximated by Finite Element Method using Lagrangian triangular elements with six nodes, and use a automatic mesh generation with a mesh quality criterion of geometric element. The geometric modeling, i.e., the contour is defined by parametric curves of type B-splines, these curves hold suitable characteristics to implement the Shape Optimization Method, that uses the key points like design variables to determine the solution of minimum problem. A reliable tool for design sensitivity analysis is a prerequisite for performing interactive structural design, synthesis and optimization. General expressions for design sensitivity analysis are derived with respect to key points of B-splines. The method of design sensitivity analysis used is the adjoin approach and the analytical method. The formulation of the optimization problem applies the Augmented Lagrangian Method, which convert an optimization problem constrained problem in an unconstrained. The solution of the Augmented Lagrangian function is achieved by determining the analysis of sensitivity. Therefore, the optimization problem reduces to the solution of a sequence of problems with lateral limits constraints, which is solved by the Memoryless Quasi-Newton Method It is demonstrated by several examples that this new approach of analytical design sensitivity analysis of integrated shape design optimization with a global stress criterion purpose is computationally efficient

Análise da magnetohidrodinâmica com transferência de calor em canais de placas paralelas via transformação integral

The main goal of the present work is related to the dynamics of the steady state, incompressible, laminar flow with heat transfer, of an electrically conducting and Newtonian fluid inside a flat parallel-plate channel under the action of an external and uniform magnetic field. For solution of the governing equations, written in the parabolic boundary layer and stream-function formulation, it was employed the hybrid, numericalanalytical, approach known as Generalized Integral Transform Technique (GITT). The flow is sustained by a pressure gradient and the magnetic field is applied in the direction normal to the flow and is assumed that normal magnetic field is kept uniform, remaining larger than any other fields generated in other directions. In order to evaluate the influence of the applied magnetic field on both entrance regions, thermal and hydrodynamic, for this forced convection problem, as well as for validating purposes of the adopted solution methodology, two kinds of channel entry conditions for the velocity field were used: an uniform and an non-MHD parabolic profile. On the other hand, for the thermal problem only an uniform temperature profile at the channel inlet was employed as boundary condition. Along the channel wall, plates are maintained at constant temperature, either equal to or different from each other. Results for the velocity and temperature fields as well as for the main related potentials are produced and compared, for validation purposes, to results reported on literature as function of the main dimensionless governing parameters as Reynolds and Hartman numbers, for typical situations. Finally, in order to illustrate the consistency of the integral transform method, convergence analyses are also effectuated and presented

Análise técnica e econômica do processo de obtenção de espaguetes com adição de farinha de trigo integral e farinha de linhaça

This work studies the fabrication of spaghetti through the process at high temperatures through the use of flour added to flour and flaxseed meal, with the aim of evaluating the final product quality and estimate the cost of production. The values of moisture, ash, protein, wet gluten, gluten index, falling number and grain of flour and mixtures to test to be the possible use in mass manufacturing and technological criteria for compliance with current legislation. Spaghetti noodles type were manufactured by adding 10% and 20% flour and 10% and 20% flaxseed meal with performance of physical-chemical, sensory and rheological properties of the products. Further analysis was performed on the product acceptance and estimation of production cost in order to create subsidies to enable the introduction of products with greater acceptance and economic viability in the market by the food industry. On the rheology of the product test was cooking the pasta, specifying the volume increase, cooking time and percentage of solid waste. In the sensory evaluation was carried out the triangular test of product differentiation with 50 trained judges and acceptance testing by a hedonic scale with evaluation of the aspects color, taste, smell and texture. In defining the sensory profile of the product was performed with ADQ 9 judges recruited and trained at the factory, using unstructured scale of 9 cm, assessing the attributes of flavor of wheat, flax flavor, consistency, texture of raw pasta, raw pasta color and color of cooked pasta. The greater acceptance of product quality was good and the pasta with 20% flour, 10% followed by the full product, 10% and 20% flaxseed characterized the average quality of the criterion of loss analysis of solids, together with mass full commercial testing. In assessing the estimated cost of production, the two products more technologically feasible and acceptable (20% whole and 10% flaxseed) were evaluated in high temperature processes. With total cost of R $ 4,872.5 / 1,000 kg and R $ 5,354.9 / 1,000 kg respectively, the difference was related to the addition of lower inputs and higher added value in the market, flour and flaxseed meal. The comparative analysis of cases was confirmed the reduction in production time (10h), more uniform product to the drying process at high temperature compared to conventional