Complete this formal proof of ~(~Pv~Q) from P&Q, following all conventions from the textbook. There are many ways to do it. Your job is to figure out which way we have in mind using these directions: • Pay attention to the subproofs! • When performing similar operations, go from left to right. 1. P&Q Premise 2. P &Elim;1 3. Q &Elim;1 4.| -Pv-Q Assume 5. || -Q VElim;2,4 6. || ~Q&Q &Intro;3,5 7.|| -Q VElim;3,4 8. || -P&P &Intro;2,7 9.| ~(~Pv~Q) vlntro:4-8 10. -(~Pv-Q) R

Please do the following question with full working out

*For numbers 11-13, the given problem is Of the 50 college students in National University, 48 enrolled in Algebra and 40 enrolled in Trigonometry. 11) How many enrolled in Algebra only? A. 10 В. 11 C. 12 D. 13 12) How many enrolled in Trigonometry only? C.7 D. 10 A. 2 B. 4 13) How many enrolled in both subjects? В. 18 14) If the integers 21, 14, -2, 11,-10, 6, and-5 are arranged in order from least to greatest, which integer would come first in the list? В. -10 A. 16 C. 22 D. 38 A. -5 С. 6 D. 11

Only part C and D through use of R code please!

Can you please answer question 8(i,ii,iii,iv,v)and show work, highlight the answer when done. It is all one question it would really mean a lot if answered all. If you can't answer all the subparts can please tell me how I can resubmit the ones you didn't answer, and how I can them answered?   Sorry, but the image to the right of question i) is the cup there is no better image but it's the shape of a cone I tried drawing it myself hopefully that helps.

Given A-() . :). 2 3 and B 2 -1 Select the option(s) below which represent (АВ ") 1. B-'A-1. BA-!. :). 3.5 2.5 1.5 0.5 A-'B. :)- -3.5 -2.5 -1.5 -0.5

7) 46+8b+7=4 8) 2m-7m-13 -10 9) 2x-3x-15=5 10) +2r-1=2 11) 24+94-7 12) S-s0 MO

Choose True or False?

Question 3 Va? + 4dx 2²+4 -늘avz2 +4+ 2 In + C 글때V고 +4+2 In x+ Vx² +4 + C 글aVz? + 4-2 In Tt Vr² +4 +C -글zva2 +4-2n +C « Previous W

2) 2 = --{ => Z ۱۱۰۰۰ 5لا 22) 3) zzi => V2=?