Pre-testChoose the letter of the correct answer. Write your answer on a separate sheet orрaper.1. Which of these statements BEST describes deductive reasoning?a. using logic to draw.conclusions based on accepted statementsb. accepting the meaning of a term without definitionc. defining mathematical terms in relation with physical objectsd. inferring a general truth by examining a number of specific examples2. Theorem: A triangle has at most one obtuse angle. Marianne is trying to prove the theoremby contradiction. She began by assuming that in AXYZ, X and ZY are both obtuse. Whichtheorem will Marianne use to reach a contradiction?a. If two angles of a triangle are congruent, the sides opposite the angles are congruent.Page 1ieTH& QUARTLH 2 WEEK 9 b. If two supplementary angles are congruent, each angle measures 90°.c. The largest angle in a triangle is opposite the longest side.d. The sum of the measures of the angles of a triangle is 180°.3. It is a mnethod of proof that shows contradiction.a. direct proofb. formal proofc. indirect proofd. two column proof4. Which of these statements is not true?a. Any four non-collinear points lie in a distinct plane.b. A plane contains at least 3 non-collinear points.c. Any two lines intersect at a point.d. Through two given points we can draw three lines.5. 5, 10, 15, 20,what is the next number?a. 21b. 25с. 30d. 40

As many Questions are given , So I will solve only, the first question: Deductive reasoning: It is…

1. Which of these statements BEST describes deductive reasoning? a. using logic to draw conclusions based on accepted statements b. accepting the meaning of a term without definition c. defining mathematical terms in relation with physical objects d. inferring a general truth by examining a number of specific examples

1. Which of these statements BEST describes deductive reasoning? a. using logic to draw conclusions based on accepted statements b. accepting the meaning of a term without definition c. defining mathematical terms in relation with physical objects d. inferring a general truth by examining a number of specific examples

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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