[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-143971-105":59,"doc-detail-143971-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","wiut-08052025-azamath","WIUT 08.05.2025 - AzaMath","","This document, titled \"WIUT 08.05.2025 AzaMath,\" presents a series of mathematical problems and questions for assessment or practice. The content covers various mathematical topics, including logarithms, exponential growth, rationalization, trigonometric functions, systems of equations, domain and range of functions, quadratic function optimization, angle calculations between linear functions, geometric area calculations involving shapes like squares and parabolas, and problems related to two-digit numbers. Notably, the document contains 15 distinct problems, some of which are accompanied by visual diagrams for clarification. The problems appear to be designed for a level of education that includes calculus and advanced algebra, as indicated by the complexity of the equations and concepts involved. The presence of mathematical notation and specific problem formats suggests this document is intended for an academic or testing environment, likely within a curriculum that emphasizes problem-solving and analytical skills in mathematics. Integrated visual aids for certain problems indicate a multimodal approach to mathematical education and assessment, aiming to enhance understanding and application of abstract concepts through graphical representations.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/wiut-08052025-azamath/143971/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/wiut-08052025-azamath/143971.png","ImageObject",300,407,{"name":92,"@type":93},"Eden","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-09-20","2026-08-25",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What are the main mathematical topics covered in this document?","Question",{"text":112,"@type":113},"The document covers a range of mathematical topics including logarithms, exponential growth, trigonometry, systems of equations, function analysis (domain, maximum), geometric calculations, and number theory problems.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Are there any visual aids provided for the problems?",{"text":117,"@type":113},"Yes, several problems are accompanied by image diagrams to help illustrate the geometric or graphical aspects of the problem, aiding in comprehension and solution.",{"name":119,"@type":110,"acceptedAnswer":120},"What level of mathematics does this document appear to be aimed at?",{"text":121,"@type":113},"Based on the complexity of the problems involving calculus, advanced algebra, and trigonometry, this document seems intended for a secondary or tertiary education level of mathematics.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},143971,1787697777,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":34,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":129,"read_time":39},1374391974468,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","WIUT 08.05.2025  \nAzaMath  \n1. log3 25 + log3 (􀝔2 + 5) = log 3 125  \n2. Robert's salary is $100, and his salary increases by 5% every year. What will the salary be in  \n10 years?  \n3. Rationalize: 2233  \n4. If sin (􀝔 − 􀰗2) = 0.2 , find cos 􀝔 .  \n5. Solve: { 3􀝕3􀝔2􀝔2􀝕161  \n6. Find the domain of the function: 􀝂(􀝐) = 1  \n7. Find the maximum of the function: 􀝕 = −􀝔2 + 12􀝔 − 8  \n8. Find the possible sum of 􀝕 + 􀝖 , if 􀝔 > 90° .  \na) 200°  \nb) 180°  \nc) 100°  \nd) 360°  \n9. Find the area of the figure, if 􀜪 = 10.4 and 􀜴 = 11.9  \n10. Find the equation of the parabola:  \n11. Find the shaded area:  \n12. Find the angle between the linear functions: 􀝕 = −2􀝔 + 6 and 􀝕 = 3􀝔 + 1  \n13. The pool is in the middle of the room. Its width is twice its length. The walls of the room are located at 5 meters from the pool. Find the area of the room in terms of 􀝓 .  \n14. If 􀜣􀜤􀜥􀜦 is a square, find the shaded region.  \n15. You are given a two-digit number. If the digits of this number are reversed, the resulting number becomes 9 greater than the original. The sum of the original number and the reversed number is 55. Find the original two-digit number.  \nНаши социальные сети","cbCaid6yQqU7lrtB","https://ap.wps.com/l/cbCaid6yQqU7lrtB","pdf",243196,"English","# Mathematical Problems\n## Logarithms\n## Exponential Growth\n## Rationalization\n## Trigonometry\n## Systems of Equations\n## Domain of a Function\n## Maximum of a Function\n## Sum of Angles\n## Area of a Figure\n## Equation of a Parabola\n## Shaded Area\n## Angle Between Linear Functions\n## Room and Pool Area\n## Shaded Region in a Square\n## Two-Digit Number Problem","[{\"question\":\"What are the main mathematical topics covered in this document?\",\"answer\":\"The document covers a range of mathematical topics including logarithms, exponential growth, trigonometry, systems of equations, function analysis (domain, maximum), geometric calculations, and number theory problems.\"},{\"question\":\"Are there any visual aids provided for the problems?\",\"answer\":\"Yes, several problems are accompanied by image diagrams to help illustrate the geometric or graphical aspects of the problem, aiding in comprehension and solution.\"},{\"question\":\"What level of mathematics does this document appear to be aimed at?\",\"answer\":\"Based on the complexity of the problems involving calculus, advanced algebra, and trigonometry, this document seems intended for a secondary or tertiary education level of mathematics.\"}]","WIUT 08.05.2025 - AzaMath | PDF"]