The number ‘three’ has lots of different names. Give names satisfying the following properties. There may be more than one correct answer. a) the ‘standard’ name c) a name using a minus sign, - b) a name using a plus sign, + d) a name using a division sign,

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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  1. The number ‘three’ has lots of different names. Give names satisfying the following properties. There may be more than one correct answer.
  2. a) the ‘standard’ name c) a name using a minus sign, -
  3. b) a name using a plus sign, + d) a name using a division sign,
  4. Circle the verbs in the following sentences:
  5. a) The capital of Idaho is Boise
  6. b) The capital of Idaho is Pocatello
  7. c) 3 + 4 = 7
  8. d) 3 + 4 = 8
  9. TRUE or FALSE:
  10. a) The capital of Idaho is Boise
  11. b) The capital of Idaho is Pocatello
  12. c) 3 + 4 = 7
  13. d) 3 + 4 = 8
  14. List several English conversations that are being illustrated in the sentence:

‘The capital of Idaho is Boise.’

  1. If possible, classify the entries in the list below as:
  • An English noun, or a mathematical expression
  • An English sentence, or a mathematical sentence

In each sentence (English or mathematical), circle the verb

  1. Carol
  2. Carol loves mathematics
  3. The name Carol begins with the letter ‘C’
  4. Y
  5. Y
  6. Y
  7. Y
  8. Y
  9. Y
  10. Y
  11. Y
  12. Y
  13. Y
  14. Y
  15. Y
  16. Y
  17. Consider the entries in exercises 6 that are sentences. Classify these sentences as (always) true; (always) false; sometimes true/sometimes false.
  18. Give a name for the number that would be appropriate in each situations:
  19. a) three candy bars must be equally divided among three people
  20. b) three candy bars must be divided among six people
  21. c) you need three cups of flour, but only have one-quarter cup measure
  22. d) you need three cups of flour, but only have a one-half cup measure

For exercises 9-15: Classify each entry as mathematical expression (EXP), or a mathematical sentence (SEN)

Classify the truth value of each entry that is a sentence: (always) true (T); (always) false (F); or sometimes true/sometimes false (ST/SF). The first two are done for you.

 

  1.  

10.

11.

  1. 1 + 2 + x =
  2. x 3 =
  3. x 2
  4. 1 + 2 + x = x + 1 + 2
  5. Use the English noun ‘Julia’ in three sentences: one that is true, one that is false, and one whose truth cannot be determined without additional information

 

  1. Use the mathematical expression ‘x’ in three sentences: one that is always true, one that is always false, and one whose truth cannot be determined without additional information.
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