[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-144066-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-144066-en":131},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","westminister-grant-savollari","Westminister Grant Savollari","","This document contains a series of mathematical problems covering various topics. It includes algebra, trigonometry, geometry, calculus, combinatorics, and sequences and series. Key problems involve solving equations with quadratic and trigonometric functions, calculating perimeters of squares inscribed and circumscribed around a circle, analyzing function behavior (increasing/decreasing), solving inequalities with radicals, determining arrangements of books, calculating permutations for car license plates, and finding terms in arithmetic and geometric progressions. The math problems are presented in English and appear to be designed for assessment or practice purposes, indicated by the file name often associated with educational materials.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/westminister-grant-savollari/144066/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/westminister-grant-savollari/144066.png","ImageObject",300,407,{"name":42,"@type":43},"Evangeline","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-31","2026-08-25",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",15,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What types of mathematical problems are covered in this document?","Question",{"text":63,"@type":64},"The document includes a range of mathematical problems encompassing logarithms, angles, geometry involving circles and squares, trigonometry, algebraic equations, function analysis, inequalities, combinatorics, and sequences and series.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"Are there problems related to calculus?",{"text":68,"@type":64},"Yes, problem number 6 asks to find the values of x for which one function is increasing and another is decreasing, which involves analyzing the derivatives of the functions.",{"name":70,"@type":61,"acceptedAnswer":71},"Does the document include problems on combinatorics and permutations?",{"text":72,"@type":64},"Yes, problem number 9 presents two combinatorics problems: one about the arrangements of books, and another about calculating the number of possible car license plates.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},144066,1787698151,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,127],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":124,"slug":126},10,"Lifestyle","lifestyle",{"id":128,"doc_module":4,"doc_module_name":25,"category_name":129,"show_sort_weight":96,"slug":130},19,"General","general",{"code":4,"msg":82,"data":132},{"doc_id":79,"user_id":133,"nickname":42,"user_avatar":134,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"language":140,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":12,"update_tm":80,"read_time":111},13056703019662,"https://ap-avatar.wpscdn.com/avatar/be000253a8e92610077?_k=1778726343310543188","1. Log4 (2x+48)+1=x A  \n2.  \nC  \nC = 50 degrees A=? 3.  \nThe circumference of the circle is 6π . If the small square is an inscribed square and the big square is a circumscribed one, find the perimeters of both squares  \n4. 3 (2sinx)^2+ 3(2cosx)^2 =30  \n5. John has three jobs to make the ends meet: Teaching, House painting, Sales. He makes $48000 from all his jobs. He makes $6000 more from teaching than he does from house painting. He earns one-seventh of the money he gets from these two jobs from sales. Make an equation and find out how much he earns from each job.  \n6. The functions f and g are given F(x)= 3x2+12x+4 , g(x)= x3+6x2+9x-8  \nWhat is the complete set of values of x for which one of the functions is increasing and the other decreasing?  \n7. If x, y are integers and x>y>0, how many solutions are there to this problem? Provide with the solutions.  \nX3-y3= 7x-7y  \n8. Solve the inequality 4√10+x- √2-x >0  \n9. A) There are 5 mathematics books, 4 art books and 3 music books. How many arrangements are possible if the books have to come in the order Mathematics-Art-Music.  \nb) The plate of the car has 2 letters followed by a 4-digit number. If the numbers and letters can be repeated, how many of this can you make? You can use all the 10 numbers  \n10. p, q and p 2 are the first, second and third terms of an arithmetic progression. Meanwhile p, p2 and q are the first, second and third terms of a geometric progression. Find the sum of 10 terms of the arithmetic progression.","cbCaioYUlbL4YVjH","https://ap.wps.com/l/cbCaioYUlbL4YVjH","pdf",333168,"English","# Mathematical Problems\n## 1. Logarithm Equation\n## 2. Angle Calculation\n## 3. Circle and Squares\n## 4. Trigonometric Equation\n## 5. John's Jobs\n## 6. Function Analysis\n## 7. Integer Solutions\n## 8. Inequality Solving\n## 9. Combinatorics\n### a) Book Arrangements\n### b) Car Plates\n## 10. Arithmetic and Geometric Progression","[{\"question\":\"What types of mathematical problems are covered in this document?\",\"answer\":\"The document includes a range of mathematical problems encompassing logarithms, angles, geometry involving circles and squares, trigonometry, algebraic equations, function analysis, inequalities, combinatorics, and sequences and series.\"},{\"question\":\"Are there problems related to calculus?\",\"answer\":\"Yes, problem number 6 asks to find the values of x for which one function is increasing and another is decreasing, which involves analyzing the derivatives of the functions.\"},{\"question\":\"Does the document include problems on combinatorics and permutations?\",\"answer\":\"Yes, problem number 9 presents two combinatorics problems: one about the arrangements of books, and another about calculating the number of possible car license plates.\"}]","Westminister Grant Savollari | PDF"]