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(Sign out)HomeMy AssignmentsGrades CommunicationCalendar My eBooks 8/18/2021 Week 8: FINAL EXAM REVIEW - MATH 115, section D04, Summer 1 2021 | WebAssign https://www.webassign.net/web/Student/Assignment-Responses/last?dep=26921984 1/37 Week 8: FINAL EXAM REVIEW (No Extension) Current Score QUESTION POINTS–/0.15–/0.15–/0.15–/0.15–/0.15–/0.15–/0.15–/0.15–/0.15–/0.15–/0.15–/0.15–/0. TOTAL SCORE –/100.0% Due Date FRI, AUG 20, 2021 10:58 PM CDT Request Extension Assignment Submission & Scoring Assignment Submission For this assignment, you submit answers by questions. You are required to use a new randomization after every 3 question submissions. Assignment Scoring Your best submission for each question part is used for your score. 1. [–/0.15 Points] AUFEXC4 1.1.005. 0/100 Submissions Used MY NOTES ASK YOUR TEACHER DETAILS Use inductive reasoning to predict the most probable next number in the list. 1, 4, 9, 16, 25, 36, ? 2. [–/0.15 Points] AUFEXC4 1.1.027. 0/100 Submissions Used MY NOTES ASK YOUR TEACHER DETAILS Determine whether the argument is an example of inductive reasoning or deductive reasoning. Every English setter likes to hunt. Duke is an English setter, so Duke likes to hunt. inductive reasoning deductive reasoning 3. [–/0.15 Points] AUFEXC4 1.2.009. 0/100 Submissions Used MY NOTES ASK YOUR TEACHER DETAILS Use the given nth term formula to compute the first five terms of the sequence. an = 9n2 − 5n a1 = a2 = a3 = a4 = a5 = 8/18/2021 Week 8: FINAL EXAM REVIEW - MATH 115, section D04, Summer 1 2021 | WebAssign https://www.webassign.net/web/Student/Assignment-Responses/last?dep=26921984 10/37 4. [–/0.15 Points] AUFEXC4 2.1.039. 0/100 Submissions Used MY NOTES ASK YOUR TEACHER DETAILS Use set-builder notation to write the following set. {3, 6, 9} {x | x is a multiple of 2 and 3 < x="">< 9}="" none="" of="" these="" {x="" |="" x="" is="" a="" multiple="" of="" 3="" and="" 3="">< x="">< 9}="" {x="" |="" x="" is="" a="" multiple="" of="" 2="" and="" 2="">< x="">< 10}="" {x="" |="" x="" is="" a="" multiple="" of="" 3="" and="" 2="">< x="">< 10}="" 5.="" [–/0.15="" points]="" aufexc4="" 2.1.048.="" 0/100="" submissions="" used="" my="" notes="" ask="" your="" teacher="" details="" use="" set-builder="" notation="" to="" write="" the="" following="" set.="" {1,="" 2,="" 3,="" 4,="" 5,="" }="" {x="" |="" x="" r}="" {x="" |="" x="" n}="" {x="" |="" x="" w}="" {x="" |="" x="" i}="" none="" of="" these="" 6.="" [–/0.15="" points]="" aufexc4="" 2.2.010.="" 0/100="" submissions="" used="" my="" notes="" ask="" your="" teacher="" details="" find="" the="" complement="" of="" the="" set="" given="" that="" u="{x" |="" x="" i="" and="" −3="" ≤="" x="" ≤="" 7}.="" (enter="" your="" answers="" as="" a="" comma-separated="" list.)="" {−1,="" 0,="" 1,="" 5,="" 6}="" 7.="" [–/0.15="" points]="" aufexc4="" 2.2.011.="" 0/100="" submissions="" used="" my="" notes="" ask="" your="" teacher="" details="" find="" the="" complement="" of="" the="" set="" given="" that="" u="{x" |="" x="" i="" and="" −3="" ≤="" x="" ≤="" 10}.="" (enter="" your="" answers="" as="" a="" comma-separated="" list.)="" {x="" |="" x="" i="" and="" −2="" ≤="" x="">< 5} 8. [–/0.15 points] aufexc4 2.3.037. 0/100 submissions used my notes ask your teacher details draw two venn diagrams to determine whether the following expression is equal for all sets a and b. a ∩ b' ; a' ∪ b equal not equal 9. [–/0.15 points] aufexc4 2.3.053. 0/100 submissions used my notes ask your teacher details use set notation to describe the shaded region. you may use any of the following symbols: a, b, ∩, ∪, and '. keep in mind that the shaded region has more than one set description. a ∩ b b ∪ a' a ∪ b a ∩ b' 10. [–/0.15 points] aufexc4 2.4.014.mi. 0/100 submissions used my notes ask your teacher details given n(l) = 710, n(m) = 290 and n(l ∩ m) = 50, find n(l ∪ m). 11. [–/0.15 points] aufexc4 2.5.021. 0/100 submissions used my notes ask your teacher details show that the given set has a cardinality of ℵ0 by establishing a one-to-one correspondence between the elements of the given set and the elements of n. 1, 1 , 5 1 , 1 ,, 25 125 1 5n − 1 , let n = 1, 2, 3,, n,. then a one-to-one correspondence between the given set and the set of natural numbers n is given by the following general correspondence. — (n) 12. [–/0.15 points] aufexc4 3.1.029. 0/100 submissions used my notes ask your teacher details write the symbolic statement in words. use p, q, r, s, t, and u as defined below. p: the tour goes to italy. q: the tour goes to spain. r: we go to venice. s: we go to florence. t: the hotel fees are included. u: the meals are not included. r → ~s we go to venice and we do not go to florence. we go to venice if and only if we do not go to florence. if we go to venice, then we will not go to florence. we go to florence and we do not go to venice. if we do not go to florence, then we will go to venice. 13. [–/0.15 points] aufexc4 3.1.043. 0/100 submissions used my notes ask your teacher details write the sentence in symbolic form. use p, q, r and s as defined below. p: stephen curry is a football player. q: stephen curry is a basketball player. r: stephen curry is a rock star. s: stephen curry plays for the warriors. if stephen curry plays for the warriors, then he is a basketball player and he is not a football player. s → ~(q ∨ p) s → (q ∧ ~p) (s ∨ p) → ~p (s → q) ∨ (s → ~p) s → (q ∨ ~p) 14. [–/0.15 points] aufexc4 3.2.039. 0/100 submissions used my notes ask your teacher details make use of one of de morgan's laws to write the given statement in an equivalent form. she did not visit france and she did not visit italy. she visited france and she visited italy. she did not visit france or she did not visit italy. she did not visit france if and only if she did not visit italy. she did not visit france if she did not visit italy. she did not visit either france or italy. 15. [–/0.15 points] aufexc4 3.2.041. 0/100 submissions used my notes ask your teacher details make use of one of de morgan's laws to write the given statement in an equivalent form. it is not true that, she received a promotion or that she received a raise. she did not receive a promotion but she did receive a raise. she received a promotion but she did not receive a raise. she either received a promotion or she received a raise, but not both. she did not receive a promotion and she did not receive a raise. she received a promotion and she received a raise. 16. [–/0.15 points] aufexc4 3.3.009. 0/100 submissions used my notes ask your teacher details determine the truth value of the given statement. if all frogs can dance, then today is monday. true false 17. [–/0.15 points] aufexc4 3.3.049. 0/100 submissions used my notes ask your teacher details write the sentence in symbolic form. use v, p, and t as defined below. v: "i will take a vacation." p: "i get the promotion." t: "i will be transferred." if i get the promotion, i will take a vacation. t ↔ p p → v v → t v ↔ p 18. [–/0.15 points] aufexc4 3.3.051. 0/100 submissions used my notes ask your teacher details write the sentence in symbolic form. use v, p, and t as defined below. v: "i will take a vacation." p: "i get the promotion." t: "i will be transferred." if i am transferred, then i will not take a vacation. t → ~v t → v ~v → t v → t 19. [–/0.15 points] aufexc4 3.4.011. 0/100 submissions used my notes ask your teacher details consider the following statement. if i were rich, i would quit this job. (a) write the converse of the given statement. if i quit this job, then i am not rich. if i quit this job, then i am rich. if i were not rich, then i would not quit this job. if i would not quit this job, then i would not be rich. if i were not rich, then i would quit this job. (b) write the inverse of the given statement. if i quit this job, then i am not rich. if i quit this job, then i am rich. if i were not rich, then i would not quit this job. if i would not quit this job, then i would not be rich. if i were not rich, then i would quit this job. (c) write the contrapositive of the given statement. if i quit this job, then i am not rich. if i quit this job, then i am rich. if i were not rich, then i would not quit this job. if i would not quit this job, then i would not be rich. if i were not rich, then i would quit this job. 20. [–/0.15 points] aufexc4 3.4.015. 0/100 submissions used 5}="" 8.="" [–/0.15="" points]="" aufexc4="" 2.3.037.="" 0/100="" submissions="" used="" my="" notes="" ask="" your="" teacher="" details="" draw="" two="" venn="" diagrams="" to="" determine="" whether="" the="" following="" expression="" is="" equal="" for="" all="" sets="" a="" and="" b.="" a="" ∩="" b'="" ;="" a'="" ∪="" b="" equal="" not="" equal="" 9.="" [–/0.15="" points]="" aufexc4="" 2.3.053.="" 0/100="" submissions="" used="" my="" notes="" ask="" your="" teacher="" details="" use="" set="" notation="" to="" describe="" the="" shaded="" region.="" you="" may="" use="" any="" of="" the="" following="" symbols:="" a,="" b,="" ∩,="" ∪,="" and="" '.="" keep="" in="" mind="" that="" the="" shaded="" region="" has="" more="" than="" one="" set="" description.="" a="" ∩="" b="" b="" ∪="" a'="" a="" ∪="" b="" a="" ∩="" b'="" 10.="" [–/0.15="" points]="" aufexc4="" 2.4.014.mi.="" 0/100="" submissions="" used="" my="" notes="" ask="" your="" teacher="" details="" given="" n(l)="710," n(m)="290" and="" n(l="" ∩="" m)="50," find="" n(l="" ∪="" m).="" 11.="" [–/0.15="" points]="" aufexc4="" 2.5.021.="" 0/100="" submissions="" used="" my="" notes="" ask="" your="" teacher="" details="" show="" that="" the="" given="" set="" has="" a="" cardinality="" of="" ℵ0="" by="" establishing="" a="" one-to-one="" correspondence="" between="" the="" elements="" of="" the="" given="" set="" and="" the="" elements="" of="" n.="" 1,="" 1="" ,="" 5="" 1="" ,="" 1="" ,="" ,="" 25="" 125="" 1="" 5n="" −="" 1="" ,="" let="" n="1," 2,="" 3,="" ,="" n,="" .="" then="" a="" one-to-one="" correspondence="" between="" the="" given="" set="" and="" the="" set="" of="" natural="" numbers="" n="" is="" given="" by="" the="" following="" general="" correspondence.="" —="" (n)="" 12.="" [–/0.15="" points]="" aufexc4="" 3.1.029.="" 0/100="" submissions="" used="" my="" notes="" ask="" your="" teacher="" details="" write="" the="" symbolic="" statement="" in="" words.="" use="" p,="" q,="" r,="" s,="" t,="" and="" u="" as="" defined="" below.="" p:="" the="" tour="" goes="" to="" italy.="" q:="" the="" tour="" goes="" to="" spain.="" r:="" we="" go="" to="" venice.="" s:="" we="" go="" to="" florence.="" t:="" the="" hotel="" fees="" are="" included.="" u:="" the="" meals="" are="" not="" included.="" r="" →="" ~s="" we="" go="" to="" venice="" and="" we="" do="" not="" go="" to="" florence.="" we="" go="" to="" venice="" if="" and="" only="" if="" we="" do="" not="" go="" to="" florence.="" if="" we="" go="" to="" venice,="" then="" we="" will="" not="" go="" to="" florence.="" we="" go="" to="" florence="" and="" we="" do="" not="" go="" to="" venice.="" if="" we="" do="" not="" go="" to="" florence,="" then="" we="" will="" go="" to="" venice.="" 13.="" [–/0.15="" points]="" aufexc4="" 3.1.043.="" 0/100="" submissions="" used="" my="" notes="" ask="" your="" teacher="" details="" write="" the="" sentence="" in="" symbolic="" form.="" use="" p,="" q,="" r="" and="" s="" as="" defined="" below.="" p:="" stephen="" curry="" is="" a="" football="" player.="" q:="" stephen="" curry="" is="" a="" basketball="" player.="" r:="" stephen="" curry="" is="" a="" rock="" star.="" s:="" stephen="" curry="" plays="" for="" the="" warriors.="" if="" stephen="" curry="" plays="" for="" the="" warriors,="" then="" he="" is="" a="" basketball="" player="" and="" he="" is="" not="" a="" football="" player.="" s="" →="" ~(q="" ∨="" p)="" s="" →="" (q="" ∧="" ~p)="" (s="" ∨="" p)="" →="" ~p="" (s="" →="" q)="" ∨="" (s="" →="" ~p)="" s="" →="" (q="" ∨="" ~p)="" 14.="" [–/0.15="" points]="" aufexc4="" 3.2.039.="" 0/100="" submissions="" used="" my="" notes="" ask="" your="" teacher="" details="" make="" use="" of="" one="" of="" de="" morgan's="" laws="" to="" write="" the="" given="" statement="" in="" an="" equivalent="" form.="" she="" did="" not="" visit="" france="" and="" she="" did="" not="" visit="" italy.="" she="" visited="" france="" and="" she="" visited="" italy.="" she="" did="" not="" visit="" france="" or="" she="" did="" not="" visit="" italy.="" she="" did="" not="" visit="" france="" if="" and="" only="" if="" she="" did="" not="" visit="" italy.="" she="" did="" not="" visit="" france="" if="" she="" did="" not="" visit="" italy.="" she="" did="" not="" visit="" either="" france="" or="" italy.="" 15.="" [–/0.15="" points]="" aufexc4="" 3.2.041.="" 0/100="" submissions="" used="" my="" notes="" ask="" your="" teacher="" details="" make="" use="" of="" one="" of="" de="" morgan's="" laws="" to="" write="" the="" given="" statement="" in="" an="" equivalent="" form.="" it="" is="" not="" true="" that,="" she="" received="" a="" promotion="" or="" that="" she="" received="" a="" raise.="" she="" did="" not="" receive="" a="" promotion="" but="" she="" did="" receive="" a="" raise.="" she="" received="" a="" promotion="" but="" she="" did="" not="" receive="" a="" raise.="" she="" either="" received="" a="" promotion="" or="" she="" received="" a="" raise,="" but="" not="" both.="" she="" did="" not="" receive="" a="" promotion="" and="" she="" did="" not="" receive="" a="" raise.="" she="" received="" a="" promotion="" and="" she="" received="" a="" raise.="" 16.="" [–/0.15="" points]="" aufexc4="" 3.3.009.="" 0/100="" submissions="" used="" my="" notes="" ask="" your="" teacher="" details="" determine="" the="" truth="" value="" of="" the="" given="" statement.="" if="" all="" frogs="" can="" dance,="" then="" today="" is="" monday.="" true="" false="" 17.="" [–/0.15="" points]="" aufexc4="" 3.3.049.="" 0/100="" submissions="" used="" my="" notes="" ask="" your="" teacher="" details="" write="" the="" sentence="" in="" symbolic="" form.="" use="" v,="" p,="" and="" t="" as="" defined="" below.="" v:="" "i="" will="" take="" a="" vacation."="" p:="" "i="" get="" the="" promotion."="" t:="" "i="" will="" be="" transferred."="" if="" i="" get="" the="" promotion,="" i="" will="" take="" a="" vacation.="" t="" ↔="" p="" p="" →="" v="" v="" →="" t="" v="" ↔="" p="" 18.="" [–/0.15="" points]="" aufexc4="" 3.3.051.="" 0/100="" submissions="" used="" my="" notes="" ask="" your="" teacher="" details="" write="" the="" sentence="" in="" symbolic="" form.="" use="" v,="" p,="" and="" t="" as="" defined="" below.="" v:="" "i="" will="" take="" a="" vacation."="" p:="" "i="" get="" the="" promotion."="" t:="" "i="" will="" be="" transferred."="" if="" i="" am="" transferred,="" then="" i="" will="" not="" take="" a="" vacation.="" t="" →="" ~v="" t="" →="" v="" ~v="" →="" t="" v="" →="" t="" 19.="" [–/0.15="" points]="" aufexc4="" 3.4.011.="" 0/100="" submissions="" used="" my="" notes="" ask="" your="" teacher="" details="" consider="" the="" following="" statement.="" if="" i="" were="" rich,="" i="" would="" quit="" this="" job.="" (a)="" write="" the="" converse="" of="" the="" given="" statement.="" if="" i="" quit="" this="" job,="" then="" i="" am="" not="" rich.="" if="" i="" quit="" this="" job,="" then="" i="" am="" rich.="" if="" i="" were="" not="" rich,="" then="" i="" would="" not="" quit="" this="" job.="" if="" i="" would="" not="" quit="" this="" job,="" then="" i="" would="" not="" be="" rich.="" if="" i="" were="" not="" rich,="" then="" i="" would="" quit="" this="" job.="" (b)="" write="" the="" inverse="" of="" the="" given="" statement.="" if="" i="" quit="" this="" job,="" then="" i="" am="" not="" rich.="" if="" i="" quit="" this="" job,="" then="" i="" am="" rich.="" if="" i="" were="" not="" rich,="" then="" i="" would="" not="" quit="" this="" job.="" if="" i="" would="" not="" quit="" this="" job,="" then="" i="" would="" not="" be="" rich.="" if="" i="" were="" not="" rich,="" then="" i="" would="" quit="" this="" job.="" (c)="" write="" the="" contrapositive="" of="" the="" given="" statement.="" if="" i="" quit="" this="" job,="" then="" i="" am="" not="" rich.="" if="" i="" quit="" this="" job,="" then="" i="" am="" rich.="" if="" i="" were="" not="" rich,="" then="" i="" would="" not="" quit="" this="" job.="" if="" i="" would="" not="" quit="" this="" job,="" then="" i="" would="" not="" be="" rich.="" if="" i="" were="" not="" rich,="" then="" i="" would="" quit="" this="" job.="" 20.="" [–/0.15="" points]="" aufexc4="" 3.4.015.="" 0/100="" submissions="">