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VIT Assignment-1 BHOPAL Discrete mathematics & Graph Theory-MAT 2002 Name:... Reg. No: 1. How can this English sentence be translated into a logical expression? A. "You can the access the internet from campus only if you are a computer science major or you are not a freshman". B. "You cannot ride the roller coaster if you are less than 4 feet tall unless you are older than 16 years old." 2. Use De Morgan's Law to find the negation of the each of the following statements: (i) Kwame will take a job in industry or go to graduate school. Yoshiko knows Java and Calculus. (ii) (iii) James is young and strong. (iv) Rita will move to Oregon or Washington 3. Show that (p^q) →r and (p+r)^(q→r)) are not logically equivalent. 4. Use De Morgan's Law to express the negations of "Miguel has a cell-phone and he has a laptop Computer" and "Heather will go to concert or Steve will go to concert." (0) With truth Table. (ii) Without truth table. 7. Define that these graphs are isomorphic or not. Slot: A21-A22+A23/WS-2022 5. Prove that the validity of the following arguments "if I get the job and work hard, then I will get promoted then I will be happy. I will not be happy. Therefore, either I will not get the job or I will not work hard. 6. Show that is a valid conclusion from the premises pq,r-p.q W Date: 01/04/2022 1 of 2 O e Q

VIT Assignment-1 BHOPAL Discrete mathematics & Graph Theory-MAT 2002 Name:... Reg. No: 1. How can this English sentence be translated into a logical expression? A. "You can the access the internet from campus only if you are a computer science major or you are not a freshman". B. "You cannot ride the roller coaster if you are less than 4 feet tall unless you are older than 16 years old." 2. Use De Morgan's Law to find the negation of the each of the following statements: (i) Kwame will take a job in industry or go to graduate school. Yoshiko knows Java and Calculus. (ii) (iii) James is young and strong. (iv) Rita will move to Oregon or Washington 3. Show that (p^q) →r and (p+r)^(q→r)) are not logically equivalent. 4. Use De Morgan's Law to express the negations of "Miguel has a cell-phone and he has a laptop Computer" and "Heather will go to concert or Steve will go to concert." (0) With truth Table. (ii) Without truth table. 7. Define that these graphs are isomorphic or not. Slot: A21-A22+A23/WS-2022 5. Prove that the validity of the following arguments "if I get the job and work hard, then I will get promoted then I will be happy. I will not be happy. Therefore, either I will not get the job or I will not work hard. 6. Show that is a valid conclusion from the premises pq,r-p.q W Date: 01/04/2022 1 of 2 O e Q

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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< > Q Search E Assignment-1.pdf Close Activity VIT Chat Assignment-1 Discrete mathematics & Graph Theory – MAT 2002 BHOPAL Slot: A21+A22+A23/ WS -2022 Teams Name:.. Reg. No: Date: 01/04/2022 Assignments 1. How can this English sentence be translated into a logical expression? A. "You can the access the internet from campus only if you are a computer science major or you are not a freshman". Calendar B. “You cannot ride the roller coaster if you are less than 4 feet tall unless you are older than 16 years old." 2. Use De Morgan's Law to find the negation of the each of the following statements: Calls Kwame will take a job in industry or go to graduate school. (ii) (iii) James is young and strong. (iv) Rita will move to Oregon or Washington 3. Show that (p^q) → r and (p → r)^(q → r)) are not logically equivalent. (i) Yoshiko knows Java and Calculus. Files 4. Use De Morgan's Law to express the negations of “Miguel has a cell-phone and he has a laptop Computer" and “Heather will go to concert or Steve will go to concert." 5. Prove that the validity of the following arguments “if I get the job and work hard, then I will get promoted then I will be happy. I will not be happy. Therefore, either I will not get the job or I will not work hard. 6. Show that ¬r is a valid conclusion from the premises p → n9,r → p,q (i) With truth Table. (ii) Without truth table. 7. Define that these graphs are isomorphic or not. w Apps 1 of 2 Help 38°C ENG 13:16 Sunny IN 01-04-2022 :
Transcribed Image Text:< > Q Search E Assignment-1.pdf Close Activity VIT Chat Assignment-1 Discrete mathematics & Graph Theory – MAT 2002 BHOPAL Slot: A21+A22+A23/ WS -2022 Teams Name:.. Reg. No: Date: 01/04/2022 Assignments 1. How can this English sentence be translated into a logical expression? A. "You can the access the internet from campus only if you are a computer science major or you are not a freshman". Calendar B. “You cannot ride the roller coaster if you are less than 4 feet tall unless you are older than 16 years old." 2. Use De Morgan's Law to find the negation of the each of the following statements: Calls Kwame will take a job in industry or go to graduate school. (ii) (iii) James is young and strong. (iv) Rita will move to Oregon or Washington 3. Show that (p^q) → r and (p → r)^(q → r)) are not logically equivalent. (i) Yoshiko knows Java and Calculus. Files 4. Use De Morgan's Law to express the negations of “Miguel has a cell-phone and he has a laptop Computer" and “Heather will go to concert or Steve will go to concert." 5. Prove that the validity of the following arguments “if I get the job and work hard, then I will get promoted then I will be happy. I will not be happy. Therefore, either I will not get the job or I will not work hard. 6. Show that ¬r is a valid conclusion from the premises p → n9,r → p,q (i) With truth Table. (ii) Without truth table. 7. Define that these graphs are isomorphic or not. w Apps 1 of 2 Help 38°C ENG 13:16 Sunny IN 01-04-2022 :
< > Q Search E Assignment-1.pdf Close Activity Chat VIT Assignment-1 Discrete mathematics & Graph Theory – MAT 2002 ВНОРАL www elari Teams Slot: A21+A22+A23/ WS -2022 Name:... Reg. No: Date: 01/04/2022 Assignments Show that the following graphs are isomorphic. Calendar 9. How many edges are there in a graph with vertices each of degree six? 10. Describe the pseudo, complete and subgraph by suitable examples. Calls Files Apps 2 of 2 Help 38°C ENG 13:16 Sunny IN 01-04-2022 :
Transcribed Image Text:< > Q Search E Assignment-1.pdf Close Activity Chat VIT Assignment-1 Discrete mathematics & Graph Theory – MAT 2002 ВНОРАL www elari Teams Slot: A21+A22+A23/ WS -2022 Name:... Reg. No: Date: 01/04/2022 Assignments Show that the following graphs are isomorphic. Calendar 9. How many edges are there in a graph with vertices each of degree six? 10. Describe the pseudo, complete and subgraph by suitable examples. Calls Files Apps 2 of 2 Help 38°C ENG 13:16 Sunny IN 01-04-2022 :
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