3Fit to pageLD Page viewc)Use quantifiers to express the statement "if somebody isfemale and is a parent, then this person is someone's motherd)Let p and q be the propositions:p: I will do every exercise in this bookq: I will get an A in this courseWrite the following propositions using p and q and logicalconnectives.For me to get an A in this course it is necessary andi)sufficient that I do every exercise in this book.ii)Construct the truth table for your proposition in d(i) above.e)i)Write down the output Boolean expression using p, q and rfor the circuit gates below:ii)if p = 1, q =0 and r= 1 find the output signal for thecircuit below:

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c) Use quantifiers to express the statement "if somebody is 4454 female and is a parent, then this person is someone's mother d) Let p and q be the propositions: p: I will do every exercise in this book g:I will get an 'A' in this course Write the following propositions using p and q and logical connectives. i) For me to get an 'A' in this course it is necessary and sufficient that I do every exercise in this book. ii) Construct the truth table for your proposition in d(i) above.

c) Use quantifiers to express the statement "if somebody is 4454 female and is a parent, then this person is someone's mother d) Let p and q be the propositions: p: I will do every exercise in this book g:I will get an 'A' in this course Write the following propositions using p and q and logical connectives. i) For me to get an 'A' in this course it is necessary and sufficient that I do every exercise in this book. ii) Construct the truth table for your proposition in d(i) above.

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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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

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Question

3Fit to page
LD Page view
c)
Use quantifiers to express the statement "if somebody is
female and is a parent, then this person is someone's mother
d)
Let p and q be the propositions:
p: I will do every exercise in this book
q: I will get an A in this course
Write the following propositions using p and q and logical
connectives.
For me to get an A in this course it is necessary and
i)
sufficient that I do every exercise in this book.
ii)
Construct the truth table for your proposition in d(i) above.
e)
i)
Write down the output Boolean expression using p, q and r
for the circuit gates below:
ii)
if p = 1, q =0 and r= 1 find the output signal for the
circuit below:

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2. Let p, q andr be the following statements: p: You run 10 laps daily. q: You are healthy. r: You take multi-vitamins. Translate the following into logical notation using p, q and r as logical connectives. a) You run 10 laps daily, you take multi-vitamins, and you are healthy. b) Either you are healthy or you do not run 10 laps daily, and you do not take multi-vitamins. c) If you do not run 10 laps daily or do not take multi-vitamins, then you will not be healthy.
Question 2.Which laws of the algebra of propositions (not truth table) I should use to proof the following and how:(a∧b) ∨ ~c <-> ~c ∨ b I know and I can see that proposition is correct / is logically equivalent.But my question is how can I see it/ justify it with Laws of the Algebra of propositions?
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с) Use quantifiers to express the statement "if somebody is female and is a parent, then this person is someone's mother d) Let p and q be the propositions: p: I will do every exercise in this book q: I will get an 'A’ in this course Write the following propositions using p and q and logical connectives. i) For me to get an 'A’ in this course it is necessary and sufficient that I do every exercise in this book. ii) Construct the truth table for your proposition in d(i) above.
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solve math without hand writing
Give atleast 5 examples of proposition and the symbolize of the proposition.
5.) Draw a truth table based on the boolean expression: x = a·b · c (x = a nba c)