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It contains 21 problems covering polynomial zeros and factorization, right-triangle trigonometry with angle of elevation, circle standard form and graphing, nonlinear systems solving and graphing, and several function and trig evaluations such as difference quotients, parity, linear function reconstruction, trigonometric equations, angle identities, arc length radius, and combined-angle cosine computation.",{"@graph":69,"@context":123},[70,84,106],{"@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/math195-precalculus-sample-final-exam-b/452990/",{"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/math195-precalculus-sample-final-exam-b/452990.png","ImageObject",300,407,{"name":92,"@type":93},"Indoniesian Boy","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-22","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",11,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What are the exam rules about calculators and electronic devices?","Question",{"text":113,"@type":114},"No notes, calculators, or other electronic devices are allowed. Electronic devices must be turned off and placed out of sight, or they will be confiscated for the duration of the exam.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How should students present their answers for non-graph and graph questions?",{"text":118,"@type":114},"For non-graph questions, final answers must be written in the provided box, with all work shown neatly and clearly. For graph questions, students should sketch the graph on the grid provided and label required features like centers, radii, or solutions.",{"name":120,"@type":111,"acceptedAnswer":121},"Which topics are included in the Sample Final Exam B?",{"text":122,"@type":114},"The exam covers polynomial rational zeros and factorization, trigonometry for elevation problems, circle equation conversion and graphing, solving and graphing nonlinear systems, difference quotient and parity of functions, linear function determination, trigonometric equation solving, trig expression simplification, arc-length radius finding, and cosine of a sum using quadrant I angle constraints.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},452990,1790834787,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":140,"language":141,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":142,"faqs":143,"seo_title":144,"seo_description":67,"update_tm":145,"read_time":36},962090760608,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","MATH195 – Precalculus  \nSample Final Exam B  \nFirst Name: Last Name:  \nEMPLID:  \nDirections:  \n• NO notes, calculators, or other electronic devices allowed. All electronic devices must be turned off and placed out of sight or they will be confiscated for the duration ofthe exam.  \n• Read each problem carefully. Unless otherwise instructed, be sure to show your work.  \n• Remember that it is your responsibility to answer each question clearly and in a way that convinces the grader that you understand how to solve each problem.  \n- GOOD LUCK!  \nYou can use this page as scrap. However any work done on this page will not be graded.  \nAnswer all 21 questions. You must show all of your work as neatly and clearly as possible and indicate the final answer in the box for each non-graph question. For all graph questions, you should sketch your graph on the grid provided.  \n1. (8 points) Let P (x) = x3 + 2x2 − 5x − 6.  \n(a) (4 points) Use the Rational Zeros Theorem to find all real zeros of P (x) .  \nShow your work in the box below:  \n(b) (4 points) Using the result from part (a), factor P (x) completely.  \nWrite your answer in the box below:  \n2. (8 points) A stake is to be driven into the ground away from the base of a 50−foot pole. A wire from the stake on the ground to the top of the pole is to be installed at an angle of elevation of 60◦ .  \n(a) (4 points) At what distance from the base of the pole should the stake be placed?  \nWrite your answer in the box below:  \n(b) (4 points) What will be the length of the wire from the stake to the top of the pole?  \nWrite your answer in the box below:  \n3. (8 points) Consider the equation of the circle x2 + y 2 + 2x + 6y + 9 = 0 .  \n(a) (4 points) Write the equation in standard form.  \nWrite your answer in the box below:  \n(b) (4 points) Graph the circle on the axes below. Label the center and radius.  \n4. (8 points) Consider the system of nonlinear equations.  \n(2yy12  \n(a) (4 points) Solve the system of equations. Write your answers in coordinate point form.  \nWrite your answer in the box below:  \n(b) (4 points) Graph the system on the axes below. Clearly label the solutions to the system.  \n5. (4 points) Evaluate and simplify csc 􀀔sin−1 􀀒 12􀀓 + cos−1 􀀒 12􀀓􀀕 .  \nWrite your answer in the box below:  \nf 􀀒 ~~π~~2 + h􀀓− f 􀀒 ~~π~~2 􀀓  \n6. (4 points) Evaluate the difference quotient  h  when f (x) = sin x.  \nWrite your answer in the box below:  \n\n| f 􀀒 ~~π~~2 + h􀀓− f 􀀒 ~~π~~2 􀀓\u003Cbr>h | = |\n| --- | --- |\n\n7. (4 points) Use algebra to determine if the function f(x) = x+|x| is even, odd, or neither. Complete the statement in the box below. No credit will be given unless all work is clearly shown.  \nWrite your answer in the box below:  \nThe function is  \n8. (4 points) Suppose that f (x) is a linear function. If f(1) = 0 and f(2) = 3, find an equation defining f (x) .  \nWrite your answer in the box below:  \nf (x) =  \n9. (4 points) Solve the trigonometric equation sin2θ = sinθ, for all values of θ on the interval 0 ≤ θ ≤ 2π .  \nWrite your answer in the box below:  \nθ =  \n10. (4 points) Express the expression tancos(90A−inAA) in terms of sines and cosines and then simplify the expression.  \nWrite your answer in the box below:  \n11. (4 points) In a circle, an arc length of 335 is intercepted by a central angle of 32 radians. Find the radius r of the circle.  \nWrite your answer in the box below:  \nr =  \n12. (4 points) If tan A = 43 and sin B = 1213 and angles A and B are in Quadrant I, find the value of cos(A + B) .  \nWrite your answer in the box below:  \ncos(A + B) =","cbCainIYqjfkGNYA","https://ap.wps.com/l/cbCainIYqjfkGNYA","pdf",692884,16,"English","# Directions\n## Answering and graphing instructions\n# Problem Set (1-21)","[{\"question\":\"What are the exam rules about calculators and electronic devices?\",\"answer\":\"No notes, calculators, or other electronic devices are allowed. Electronic devices must be turned off and placed out of sight, or they will be confiscated for the duration of the exam.\"},{\"question\":\"How should students present their answers for non-graph and graph questions?\",\"answer\":\"For non-graph questions, final answers must be written in the provided box, with all work shown neatly and clearly. For graph questions, students should sketch the graph on the grid provided and label required features like centers, radii, or solutions.\"},{\"question\":\"Which topics are included in the Sample Final Exam B?\",\"answer\":\"The exam covers polynomial rational zeros and factorization, trigonometry for elevation problems, circle equation conversion and graphing, solving and graphing nonlinear systems, difference quotient and parity of functions, linear function determination, trigonometric equation solving, trig expression simplification, arc-length radius finding, and cosine of a sum using quadrant I angle constraints.\"}]","MATH195 - Precalculus - Sample Final Exam B | PDF",1790738021]