Which lines in the following are not valid? Explain why in each case. (1) 1. (x)[(Нх Кx) — Мх] 2. (Еx)(Нx Кх) 3. Нх Кх P P 2 EI 4. Мx 1,3 MP 5. Gх)Mx 4 EG
Which lines in the following are not valid? Explain why in each case. (1) 1. (x)[(Нх Кx) — Мх] 2. (Еx)(Нx Кх) 3. Нх Кх P P 2 EI 4. Мx 1,3 MP 5. Gх)Mx 4 EG
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Only answer questions 1, 3 and 5.
![Which lines in the following are not valid? Explain why in each case.
(1) 1. (x)[(Hx · Kx) Ɔ Mx]
2. (Ex)(Нx Кх)
3. Нх Кх
P
P
2 EI
4. Мx
1,3 MP
5. Gх)Mx
4 EG
(2) 1. (x)(MxƆ Gx) Ɔ Fa
2. (x)(~ Gx Ɔ ~ Mx)
3. - Gy Ɔ ~ My
4. (x)(~ Gx Ɔ ~ Mx) Ɔ Fa
5. (~ Gx Ɔ ~ Mx) Ɔ Fa
P
2 UI
1 Contra
4 UI
3,5 MP
6 UG
6. Fa
7. (х)Fx
(3) 1. (3x)(Fx · ~ Mx)
2. (x)[(Gx v Hх) Э Мх]
3. (Gy V Hy) Э Му
4. Fy: ~ Мy
2 UI
1 ΕlΙ](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa778142b-511d-4123-8a2e-c210efc63376%2F7daf7db7-49b7-483c-a5d4-1e8a0fe2050f%2Fmt8m6h_processed.png&w=3840&q=75)
Transcribed Image Text:Which lines in the following are not valid? Explain why in each case.
(1) 1. (x)[(Hx · Kx) Ɔ Mx]
2. (Ex)(Нx Кх)
3. Нх Кх
P
P
2 EI
4. Мx
1,3 MP
5. Gх)Mx
4 EG
(2) 1. (x)(MxƆ Gx) Ɔ Fa
2. (x)(~ Gx Ɔ ~ Mx)
3. - Gy Ɔ ~ My
4. (x)(~ Gx Ɔ ~ Mx) Ɔ Fa
5. (~ Gx Ɔ ~ Mx) Ɔ Fa
P
2 UI
1 Contra
4 UI
3,5 MP
6 UG
6. Fa
7. (х)Fx
(3) 1. (3x)(Fx · ~ Mx)
2. (x)[(Gx v Hх) Э Мх]
3. (Gy V Hy) Э Му
4. Fy: ~ Мy
2 UI
1 ΕlΙ
![(5) 1. (3x)[(Px · Qx) v Rx]
2. (x) ~ Rx
3. (Зx)(Рх v Rx)
4. Рx v Rx
P
P
1 Simp
З ЕI
5.
Px
2,4 DS
6. (x)
5 UG
6 UI
7 UG
Px
7. ~ Py
Ру
8. (z) ~ Pz](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa778142b-511d-4123-8a2e-c210efc63376%2F7daf7db7-49b7-483c-a5d4-1e8a0fe2050f%2F134y06_processed.png&w=3840&q=75)
Transcribed Image Text:(5) 1. (3x)[(Px · Qx) v Rx]
2. (x) ~ Rx
3. (Зx)(Рх v Rx)
4. Рx v Rx
P
P
1 Simp
З ЕI
5.
Px
2,4 DS
6. (x)
5 UG
6 UI
7 UG
Px
7. ~ Py
Ру
8. (z) ~ Pz
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