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Exercícios 12 Determine ₀³ fx y dx e ₀⁴ fx y dy 1 fx y 2x 3x²y 312 Calcule a integral iter 9 ₀¹₁² xy yx dy dx 15 R xy²x² 1 dA R x y 0 x 1 3 y 3 17 D x senx y dA R 0 π6 0 π3 29 Determine o volume do sólido contido no primeiro octante limitado pelo cilindro z 9 y² e pelo plano x 2 1 DETERMINANDO ₀³ fx y dx ₀³ 2x 3x²y dx A antiderivada de 2x 3x²y com respeito a x é x² x³y Cy Aplicando os limites de integração de 0 a 3 ₀³ 2x 3x²y dx x² x³y ₀³ 3² 3³y 0² 0³y Portanto ₀³ fx y dx 9 27 y DETERMINANDO ₀⁴ fx y dy ₀⁴ 2x 3x²y dy A antiderivada de 2x 3x²y com respeito a y é 2xy 32 x² y² D Aplicando os limites de integração de 0 a 4 ₀⁴ 2x 3x²y dy 2xy 32 x² y² ₀⁴ 2x4 32 x² 4² 2x0 32 x² 0² Portanto ₀⁴ fx y dy 8x 24 x² RESUMO DOS RESULTADOS ₀³ 2x 3x² y dx 9 27 y ₀⁴ 2x 3x² y dy 8x 24 x² Credeal Yes there are many types of Web Services architectures This article mainly focuses on three categories Rest Web Services Soap Web Services JaxWS Web Services REST stands for Representational State Transfer IPV2 Tim BernersLee introduced the REST architectural style in 2000 Rest is defined as a set of constraints to be used when creating Web services The purpose of Rest style architectures is to perform fast reliable and scalable network applications and generally used in clientserver distributed systems Web services that conform to the REST architectural style are called RESTful Web services 1 RESTful Web Services can use HTTP Services actions and methods such as GET POST PUT and DELETE 2 Rest web services are lightweight easy to maintain and modify 3 RESTBful services are Server Statess that reduce the client request by eliminating the need for server to remember the state of the client 4 REST architecture takes advantage of HTTP Status codes Response status codes are returned in the HTTP response to indicate whether an HTTP request has been successfully completed and why it might not be successful 5 Rest architecture does not harness XML and SOAP but it uses plain JSON XML or YAML files transport data 6 Applications written using the RESTful architecture can be accessed from any client capable of HTTP 7 Architecture is based on URL or URI resources 8 REST jacks are implemented using Java the Java API for XML Web Services JAXWS and the Java API for RESTful Web Services JAXRS REST uses the HTTP protocol and usually the JSON format but can also use XML or plain text 10 RESTful Web services are stateless and are supported in different formats like XML JSON HTML plain text XML These web services use an XML messaging system for communication between clients and servers They are highly extensible and allow complex data structure exchanges JSON These web services use JSON JavaScript Object Notation format for communication JSON is lightweight and is commonly used in modern web applications for efficient data exchange 12 SOAP SOAP web services use the Simple Object Access Protocol for communication They are protocol driven and rely heavily on XML for message formatting SOAP services are highly secure and support complex operations 13 WSDL Web Services Description Language is used to define the services in XML format which is crucial for SOAP web services 14 RESTful services are more efficient for web and mobile applications due to their lightweight nature and ease of integration 15 SOAP is preferred in enterprise environments where security transactions and ACID compliance are important 16 REST is stateless whereas SOAP supports stateful operations 17 REST is cacheable while SOAP is not inherently cacheable 18 REST is easier to use and implement compared to SOAP which requires more setup and configuration 19 REST uses standard HTTP methods whereas SOAP uses a standardized XML messaging protocol 20 RESTful APIs allow multiple data formats SOAP only allows XML These key points provide a comparison and explanation of RESTful Web Services and other types of web services architectures focusing on their characteristics usage and protocols Món Mỳ Dương Châu Specials Mỳ Ý Dương Châu 29000 Mỳ Ý Xào Hải Sản 32000 Mỳ Ý Xào Bò Sốt Tiêu đen 42000 Mỳ Ý Xào Tôm mực 38000 Pizza Không đủ người ăn pizza 35000 Garlic Bread 20000 Pizza hải sản 50000 Pizza thập cẩm 40000 Pizza bò bằm 39000 Pizza sốt Trắng gà 45000 Pizza bò phô mai 45000 Pizza gà sốt BBQ 38000 Món khác Gà xào xả ớt 50000 Gỏi bò 40000 Khô bò 25000 Xúc xích nướng 35000 Soup cua 25000 Salad trộn dầu giấm 18000 Chuyên Món Mì Nga Mì xào hải sản 29000 Phở xào bò 29000 Mì gà phô mai 28000 Mì mềm gà phô mai 28000 Coffee Menu Coffee Special 30000 Latte 30000 Espresso 28000 Cappuccino 35000 Cà phê sốt 30000 Olong 25000 Trà Lipton 25000 Nước Ép Cam 35000 Nước Ép Cà Rốt 40000 Nước Ép Dứa 40000 Sữa Đậu Nành 15000 Sữa Đậu Nành Đá 15000 Bạc Xỉu 25000 Tổng 390000 25000 80000 35000 20000 10000 79000 89000 19000 7000 5000 60000 44000 29000 39000 20000 26000 39000 26000 15000 40000 20000 40000 27900 163000 50000 30000 10000 10000 20000 6 7

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Exercícios 12 Determine ₀³ fx y dx e ₀⁴ fx y dy 1 fx y 2x 3x²y 312 Calcule a integral iter 9 ₀¹₁² xy yx dy dx 15 R xy²x² 1 dA R x y 0 x 1 3 y 3 17 D x senx y dA R 0 π6 0 π3 29 Determine o volume do sólido contido no primeiro octante limitado pelo cilindro z 9 y² e pelo plano x 2 1 DETERMINANDO ₀³ fx y dx ₀³ 2x 3x²y dx A antiderivada de 2x 3x²y com respeito a x é x² x³y Cy Aplicando os limites de integração de 0 a 3 ₀³ 2x 3x²y dx x² x³y ₀³ 3² 3³y 0² 0³y Portanto ₀³ fx y dx 9 27 y DETERMINANDO ₀⁴ fx y dy ₀⁴ 2x 3x²y dy A antiderivada de 2x 3x²y com respeito a y é 2xy 32 x² y² D Aplicando os limites de integração de 0 a 4 ₀⁴ 2x 3x²y dy 2xy 32 x² y² ₀⁴ 2x4 32 x² 4² 2x0 32 x² 0² Portanto ₀⁴ fx y dy 8x 24 x² RESUMO DOS RESULTADOS ₀³ 2x 3x² y dx 9 27 y ₀⁴ 2x 3x² y dy 8x 24 x² Credeal Yes there are many types of Web Services architectures This article mainly focuses on three categories Rest Web Services Soap Web Services JaxWS Web Services REST stands for Representational State Transfer IPV2 Tim BernersLee introduced the REST architectural style in 2000 Rest is defined as a set of constraints to be used when creating Web services The purpose of Rest style architectures is to perform fast reliable and scalable network applications and generally used in clientserver distributed systems Web services that conform to the REST architectural style are called RESTful Web services 1 RESTful Web Services can use HTTP Services actions and methods such as GET POST PUT and DELETE 2 Rest web services are lightweight easy to maintain and modify 3 RESTBful services are Server Statess that reduce the client request by eliminating the need for server to remember the state of the client 4 REST architecture takes advantage of HTTP Status codes Response status codes are returned in the HTTP response to indicate whether an HTTP request has been successfully completed and why it might not be successful 5 Rest architecture does not harness XML and SOAP but it uses plain JSON XML or YAML files transport data 6 Applications written using the RESTful architecture can be accessed from any client capable of HTTP 7 Architecture is based on URL or URI resources 8 REST jacks are implemented using Java the Java API for XML Web Services JAXWS and the Java API for RESTful Web Services JAXRS REST uses the HTTP protocol and usually the JSON format but can also use XML or plain text 10 RESTful Web services are stateless and are supported in different formats like XML JSON HTML plain text XML These web services use an XML messaging system for communication between clients and servers They are highly extensible and allow complex data structure exchanges JSON These web services use JSON JavaScript Object Notation format for communication JSON is lightweight and is commonly used in modern web applications for efficient data exchange 12 SOAP SOAP web services use the Simple Object Access Protocol for communication They are protocol driven and rely heavily on XML for message formatting SOAP services are highly secure and support complex operations 13 WSDL Web Services Description Language is used to define the services in XML format which is crucial for SOAP web services 14 RESTful services are more efficient for web and mobile applications due to their lightweight nature and ease of integration 15 SOAP is preferred in enterprise environments where security transactions and ACID compliance are important 16 REST is stateless whereas SOAP supports stateful operations 17 REST is cacheable while SOAP is not inherently cacheable 18 REST is easier to use and implement compared to SOAP which requires more setup and configuration 19 REST uses standard HTTP methods whereas SOAP uses a standardized XML messaging protocol 20 RESTful APIs allow multiple data formats SOAP only allows XML These key points provide a comparison and explanation of RESTful Web Services and other types of web services architectures focusing on their characteristics usage and protocols Món Mỳ Dương Châu Specials Mỳ Ý Dương Châu 29000 Mỳ Ý Xào Hải Sản 32000 Mỳ Ý Xào Bò Sốt Tiêu đen 42000 Mỳ Ý Xào Tôm mực 38000 Pizza Không đủ người ăn pizza 35000 Garlic Bread 20000 Pizza hải sản 50000 Pizza thập cẩm 40000 Pizza bò bằm 39000 Pizza sốt Trắng gà 45000 Pizza bò phô mai 45000 Pizza gà sốt BBQ 38000 Món khác Gà xào xả ớt 50000 Gỏi bò 40000 Khô bò 25000 Xúc xích nướng 35000 Soup cua 25000 Salad trộn dầu giấm 18000 Chuyên Món Mì Nga Mì xào hải sản 29000 Phở xào bò 29000 Mì gà phô mai 28000 Mì mềm gà phô mai 28000 Coffee Menu Coffee Special 30000 Latte 30000 Espresso 28000 Cappuccino 35000 Cà phê sốt 30000 Olong 25000 Trà Lipton 25000 Nước Ép Cam 35000 Nước Ép Cà Rốt 40000 Nước Ép Dứa 40000 Sữa Đậu Nành 15000 Sữa Đậu Nành Đá 15000 Bạc Xỉu 25000 Tổng 390000 25000 80000 35000 20000 10000 79000 89000 19000 7000 5000 60000 44000 29000 39000 20000 26000 39000 26000 15000 40000 20000 40000 27900 163000 50000 30000 10000 10000 20000 6 7

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